The moon is 2.4 X 10^5 miles from Earth. Assume the speed of the fastest spacecraft is 3.6 X 10^4 miles per hour. How many hours would it take this spacecraft to fly to the moon from Earth? Write your answer in standard form, rounded to the nearest hour. The solution is

Answers

Answer 1

Answer: . x 10^5 miles from the earth. How long does it take light to from a source on earth to reach a reflector on the moon and then return to earth? The speed of light is 3.0 x 10^8 m/s. ... sec. to give us our final answer of 1.28 seconds (the time required for light to travel 2.4 x 105 miles). and the fastest spaceship goes 153,454 miles per hour

Step-by-step explanation:

Answer 2

The number of hours that should be taken to fly to the moon from Earth is 7 hours.

Given that

Distance between earth and moon is \(2.4 \times 10^5\ miles\)The speed is \(3.6 \times 10^4\ miles\ per\ hour\)

Now we know that

\(Time = \frac{Distance}{Speed} \\\\= \frac{2.4 \times 10^5 }{3.6 \times 10^4} \\\\= \frac{240}{36}\)

= 6.66 hours

= 7 hours

Therefore we can conclude that The number of hours that should be taken to fly to the moon from Earth is 7 hours.

Learn more about the speed here: brainly.com/question/20131441

The Moon Is 2.4 X 10^5 Miles From Earth. Assume The Speed Of The Fastest Spacecraft Is 3.6 X 10^4 Miles

Related Questions

What is the translation from
a) shape X to shape Z?
b) shape Z to shape X?

What is the translation froma) shape X to shape Z?b) shape Z to shape X?

Answers

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.

For the composition of translations, we add the coordinates, hence:

-2 + 7 = 5.5 - 3 = 2.

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

More can be learned about translation at brainly.com/question/29209050

#SPJ1

factor this polynomial x^2 -3x^3 +10x^7

Answers

x^2 (1-3x+ 10x^5)
pls mark brainliest if correct

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E​

Which of the following is the equation of the function f(x) graphed above? A. (x) = x(x 2)(x 1)(x + 1)

Answers

The hell it so hard right

3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices

3:Let f be a quadratic function such thatf(x) = ax +bx+c = a (x-h) + kIf k &lt; 0, for what values of

Answers

Answer:

O a=0

Step-by-step explanation:

6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.

Answers

1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)

2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)

3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)

4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)

5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)

6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)

7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)

8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)

9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)

10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)

11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)

12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)

13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)

14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)

Here are the journal entries for the given transactions:

1. Bricks and timber purchased for construction:

Debit: Bricks (Asset) - Rs 60,000

Debit: Timber (Asset) - Rs 35,000

Credit: Bank (Liability) - Rs 95,000

2. Transfer to fixed deposit account:

Debit: Fixed Deposit (Asset) - Rs 13,000

Credit: Current Account (Asset) - Rs 13,000

3. Appointment of Mr. S.N. Rao as Accountant:

Debit: Salary Expense (Expense) - Rs 300

Debit: Security Deposit (Asset) - Rs 1,000

Credit: Accountant (Liability) - Rs 300

4. Goods sold to Shruti:

Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000

Credit: Sales (Income) - Rs 80,000

5. Goods purchased from Richa:

Debit: Purchases (Expense) - Rs 60,000

Credit: Accounts Payable - Richa (Liability) - Rs 60,000

6. Goods sold to Shilpa:

Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000

Credit: Sales (Income) - Rs 50,000

7. Goods sold to Garima:

Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000

Credit: Sales (Income) - Rs 1,00,000

8.Purchase of land:

Debit: Land (Asset) - Rs 2,00,000

Debit: Brokerage Expense (Expense) - Rs 2,000

Debit: Registration Charges (Expense) - Rs 15,000

Credit: Bank (Liability) - Rs 2,17,000

9. Goods and cash taken away by proprietor:

Debit: Proprietor's Drawings (Equity) - Rs 65,000

Credit: Goods (Asset) - Rs 25,000

Credit: Cash (Asset) - Rs 40,000

10. Goods sold to Charu:

Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000

Credit: Sales (Income) - Rs 1,20,000

Credit: Cost of Goods Sold (Expense) - Rs 80,000

Credit: Profit on Sales (Income) - Rs 40,000

11. Rent paid for the building:

Debit: Rent Expense (Expense) - Rs 60,000

Credit: Bank (Liability) - Rs 60,000

12. Goods sold to Sunil:

Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000

Credit: Sales (Income) - Rs 24,000

Credit: Cost of Goods Sold (Expense) - Rs 20,000

Credit: Profit on Sales (Income) - Rs 4,000

13. Goods purchased from Nanda and supplied to Helen:

Debit: Purchases (Expense) - Rs 1,000

Debit: Accounts Payable - Nanda (Liability) - Rs 1,000

Credit: Accounts Receivable - Helen (Asset) - Rs 1,300

Credit: Sales (Income) - Rs 1,300

14. Goods received from Rohit and Sons and supplied to Madan:

Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)

Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700

Debit: Accounts Receivable - Madan (Asset) - Rs 3,000

Credit: Sales (Income) - Rs 3,000

for such more question on journal entries

https://brainly.com/question/28390337

#SPJ8

which graph is the graph of f(x) = 2 + 2?

which graph is the graph of f(x) = 2 + 2?

Answers

It’s this one, the last one
which graph is the graph of f(x) = 2 + 2?
It’s the one in the bottom right. Okay? Okay!

Factor 4x^3 + x^2 - 2x - 6

Answers

Answer:

The expression is not factorable with rational numbers.

Please answer the question (8TH GRADE?!)
if you can dont give me wrong answer

Please answer the question (8TH GRADE?!)if you can dont give me wrong answer

Answers

Pretty positive that the correct answer is C
100% C is your answer

Diane sells boxes of cookies for each. Manuel sells boxes of cookies for each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

Answers

Part A: Daiane was known to have sold 5 boxes.

Part B: Manuel as known to have sold  sold 4 boxes.

Part C: Daiane sold a total of =  $40 while  Manuel sold a total of $40.

What are the cookies?

From the question, take the number of boxes Daiane sold as 'x'.

Note that she sells each box for $8, Hence the total dollar amount she sold is  8x.

Also take the number of boxes Manuel sold is 'y' because he sells each box for $10, so the total dollar amount he sold is = 10y.

Since  the total dollar amount Diane sold is equal to the total dollar amount Manuel sold. the equation will bw:

8x = 10y

Then one can  simplify the equation, by  dividing both sides by the greatest common divisor (GCD) of 8 and 10, that is 2:

(8x)/2 = (10y)/2

4x = 5y

So the possible solution is that

x = 5

y = 4.

So one can say that:

Part A: Daiane sold 5 boxes.

Part B: Manuel sold 4 boxes.

Part C: Daiane sold a total of :

= 8 x  5

= $40

Manuel sold a total of :

= 10 x  4

= $40

Learn more about cookies  from

https://brainly.com/question/14252552

#SPJ1

Diane  sells boxes of cookies for $8 each. Manuel sells boxes of cookies for $10 each. Each of them sold the same dollar amount. It was the smallest dollar amount for which this was possible. Answer the following questions.

Part A : How many boxes did Daiane sell?

Part B : How many boxes did Manuel Sell?

Part C : What was the dollar amount each of them sold?

m= -2​, b 7/2
Enter the equation of the line in​ slope-intercept form.

Answers

slope intercept form:

y=mx+b

m=-2, b=7/2

answer:

y=-2x+7/2

According to a family-oriented lobbying group, there is too much crude language and violence on television. Forty-two percent of the programs they screened had language they found offensive; 27% were too violent, and 10% were considered excessive in both language and violence. What percentage of programs did comply with the group's standards? Give your answer as a percentage and do not put the % sign in your answer.

Answers

Its C because its a loaded language

The two lines below are ______.y = 4 / 7x + 17y = 4 / 7x - 13Select one:a.not true linesb.the same linec.perpendiculard.parallel

Answers

We have the next two given lines:

y = 4 / 7x + 17

y = 4 / 7x - 13

looking at both equations, they have the same slope. In this case, 4/7x.

When two lines have the same slope, they are parallel lines.

Hence, the correct answer is option d.

Divide x^2+x-4 by (x+3)

Answers

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

To know more about Division here.

https://brainly.com/question/21416852

#SPJ1

Divide x^2+x-4 by (x+3)

Which fraction is closest to 1/2
?

Which fraction is closest to 1/2?

Answers

The fraction which is closest to 1/2 is, 3/8. So option B is correct

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ1

A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.

Answers

Answer:

20%

Step-by-step explanation:

vrrggrgrhreah

Select the correct answer from each drop down menu

Select the correct answer from each drop down menu

Answers

Central angle ∠C and circumscribed angle ∠S intersect the same arc, so the angles are supplementary. Central angle ∠C and inscribed angle ∠R intersect the same arc, so m∠R is half the measure of central angle ∠C.

What makes the angles supplementary?

Central angles are angles that have their vertex at the center of the circle. Circumscribed angles are angles that are formed by two tangents to a circle that intersect at a point outside the circle. Inscribed angles are angles that are formed by two chords in a circle that intersect at a point inside the circle.

The measures of central angles and circumscribed angles are always supplementary, which means that their measures add up to 180 degrees. Inscribed angles, on the other hand, are always half the measure of the central angle that intersects the same arc.

In the diagram, central angle ∠C and circumscribed angle ∠S intersect the same arc, so they are supplementary. Central angle ∠C and inscribed angle ∠R also intersect the same arc, so m∠R is half the measure of central angle ∠C.

Therefore, the correct answers are supplementary and half.

Find out more on supplementary here: https://brainly.com/question/12919120

#SPJ1

Can someone help me with my math homework?
Please and I will mark brainliest
College for Readiness and High School students

Answers

Answer:

Sure, I can try to help.

Step-by-step explanation:

Answer:

The discrimination is positive

Step-by-step explanation:

The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.

Since parabola has two x-intercepts, then the equation  has two different solutions and the discriminant is greater than 0.

A 1 liter bottle of Mexican wine costs 100 pesos. At that price, how much would a
gallon jug of wine cost in US dollars? Round to two decimal places. SHOW ALL
WORK. (In other words, what is the price in dollars per gallon.)

Answers

It is 4.86$ in U.S dollars

where are parabolas on your hand?

Answers

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

Round 677.25 to the nearest tenth. ​

Answers

Answer:

677.30

Step-by-step explanation:

5, round up to 3

Rounding off 677.25 to the nearest tenths gives 677.20.

What is rounding off?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600. A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.

So, 677.25 to the nearest tenth:

Since, after the decimal, the tenth place has 2, and due to this after rounding off, the value will be:677.25 ⇒ 677.20

Therefore, rounding off 677.25 to the nearest tenths gives 677.20.

Know more about rounding off here:

https://brainly.com/question/28128444

#SPJ2

Consider the algebraic expression √ 7 x 18 + 12.1 x 15 + π 4 x 6 + 1 9 . What is the degree of this polynomial? Identify the leading coefficient. Identify the leading term.

Answers

The degree of the provided polynomial is 18, and the leading term is √7.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

In what shape/shapes are the diagonals always perpendicular

In what shape/shapes are the diagonals always perpendicular

Answers

Answer:

A Rhombus, Square

Step-by-step explanation:

The answer should be square and rhombus.

Much help is needed and appreciated:


"Q: Use inductive reasoning to determine the units digit of the number 355. Please give detailed descriptions on how you would solve this problem."


Bob said he could use his high-precision calculator to find the exact value of 355, and he would know all the digits. He then showed Ali, the tutor his calculator display 3^55 = 1744492 1100912017 9071170507. The tutor Ali at the ASC said that was the incorrect approach to this problem.


(a) Why did Ali say it was an incorrect approach?


(b) What is the correct approach to get the answer of units digit =7? Be specific with how you solved this question.


(c) Give an example of how you used inductive reasoning in your life. Are you certain about the conclusion? Hint: review the characteristics of inductive reasoning.

Answers

Therefore the solution is used 3⁵⁵ instead of 3⁵.  to look at the units digit of the base number and the exponent.

What does "inductive reasoning" mean?

The process of inductive reasoning involves moving from the particular to the general in order to arrive at conclusions. Deductive reasoning, where you move from general information to specific conclusions, is typically contrasted with it. Bottom-up reasoning and inductive logic are other names for inductive reasoning.

To determine the units digit of a number using inductive reasoning, can use the following steps:

Find the units digit of 3¹ = 3

Find the units digit of 3² = 9

Find the units digit of 3³ = 27

Find the units digit of 3⁴ = 81

Find the units digit of 3⁵ = 243

Since we are looking for the units digit of 355, we can use inductive reasoning to find that it is equal to the units digit of 3^5 which is 3 1.

A .

Ali said that Bob’s approach was incorrect because he used 3⁵⁵instead of 3⁵.

B .

Correct approach To find the units digit of a number raised to a power, you only need to look at the units digit of the base number and the exponent.

C .

In this case, 3⁵ = 243. The units digit of 243 is 3. Therefore, the units digit of 3⁵⁵ is also 3.An example of how I used inductive reasoning in my life is when I was trying to figure out why my car wouldn’t start. I noticed that it only happened when it was cold outside. After several times of this happening, I concluded that it must be something with the battery since cold weather can affect battery performance. I took it to a mechanic who confirmed that the battery was indeed the problem. Inductive reasoning involves making generalizations based on specific observations or evidence. While it can be useful in many situations, it’s important to remember that it doesn’t always lead to correct conclusions.

To know more about inductive reasoning visit:

brainly.com/question/14483234

#SPJ1

3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

What is the product please

What is the product please

Answers

Answer:

180

Step-by-step explanation:

Using the order of operations, we start with the equation in parentheses. This equals 15. Now we multiply 12*15 to get the answer. Doing the math, we get 180.

Good luck!

Answer:

180

Start with 18 - 3 because of pemdas rules.

parenthesesexponentsmultiplydivideaddsubtract

18 - 3 = 15

Now, multiply by 12 since that is what the problem is asking us to do.

12 × 15 = 180

I am assuming 180 is option D, if it is not, I couldn't see it because the picture was cut off right there.

If DM=35, what is the value of r? Where DG is r+5 and GM is 3r-14

Answers

r=17.5
DG=22.5
GM=38.5

Enter the number that belongs in the green box

Enter the number that belongs in the green box

Answers

The number that belongs in the green box using sine rule is 13.96.

What is sine rule?

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

SinA/a = SinB/b.................. Equation 1

From the diagram,

Given:

A = 70°B = 61°b = 15a = x

Substitute these values into equation 1

Sin70°/15 = sin61°/x

Solve for x

x = (15×sin61°)/sin70°x = 13.96

Learn more about sine rule here: https://brainly.com/question/28523617

#SPJ1

There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?

Answers

Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

The constraints of a problem are listed below. What are the vertices of the feasible region? 2x+3y≥12 5x+2y≥15 x ≥ 0 y ≥ 0​

Answers

The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Given, the constraints of a problem

2x+3y≥12

5x+2y≥15

x ≥ 0

y ≥ 0​

On solving the equations, we get

( 2x + 3y ≥ 12 ) × 2

( 5x + 2y ≥ 15 ) × 3

4x + 6y ≥ 24

15x + 6y ≥ 45

On subtracting, we get

11x ≥ 21

x ≥ 21/11

x = 21/11

On putting the value of x, we get

42/11 + 3y = 12

y = 19/11

Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Learn more about Linear Programming Problems here https://brainly.com/question/25828237

#SPJ9

Other Questions
Please help, very urgent!!!! 50 points!! suppose the sequence {an} converges to a > 1. prove there exists an index n such that for all n > n , an > 1. Trivia Q1 5pts|-8 + -2| HelpPleaseeeeee :( would mean so much The diagrams show objects' gravitational pull towardeach other.XHNYWhich statement describes the relationship betweendiagram X and Y?O Gravity attracts only larger objects toward oneanother.O Gravity attracts larger objects only if they are closeto one another.O If the masses of the objects increase, then the forcebetween them also increases.O If distance between the objects increases, then theamount of force also increases. what is the expansion of 3p ( 4p - 7q I need answers quick. ASAP. If n=1/2 how much is 2+6n. The hiv virus attacks only a certain type of white blood cells, and not other cell types. Why?. you are giving cpr and the first rescue breath does not cause the chest to rise. what should you do? I Need help please! 1. Conjugate the verb in the present tense using the pronoun in parentheses. practicar (yo) A. practicas B. practic C. practico D. practicar 2. Conjugate the verb in the present tense using the pronoun in parentheses. escribir (ellos) A. escriben B. escribimos C. escribo D. escriban George Washington believed _______ about political parties.(A) That they would help, not hurt the American political system.(B) That the Republicans would ultimately lead the American political system.(C) That they would hurt, not help the American political system.(D) That the Democrats would ultimately lead the American political system. Suppose you have a clause in a forward purchase contract which gives you a partial timing option: you can buy USD against DEM at a forward rate Ft,t, either at time T, or two months earlier. Right now, you are at the intermediate decision date (T - 2 months). So you have to decide whether to buy now or at T. (a) Assume that, at the beginning of this two-month period, the term structure of compound interest rates is flat for maturities up to one year, with a p.a. DEM interest rate of 10 percent and a USD interest rate of 6 percent. Would you decide to buy the USD now (t = T - 2 months), or would you rather wait? Make this decision in each of the following nine situations regarding the current spot rates St and contractual prices > FT: 1.5 2 2.5 (DEM/USD) Contract price Fto.7: Current spot rate 1.5 0 . 2. 2.5 III 22:05 f Back (b) Repeat (a), but reverse the interest rates. (c) How would your answers change if the clause is modified as follows: if you buy immediately, then the amount of DEM would be discounted at the prevailing DEM rate), while the amount of USD payable would be discounted at the prevailing USD interest rate). You should be able to do this without any computations. need help assap look at attachment What are other method of learning delivery other than modules that would help student? which one of the following statements best explains why tiny bits of paper are attracted to a charged rubber rod? CPM homework 8.1.2 problem 8-19 Twice a number less than twenty is at most tenCould anyone write this into a problem? Im not understanding it quite as much.Ex: x + 3 < -1 Find the Mean Absolute Deviation: {6, 6, 3, 4, 4} 8x 2y = 1 with 4x + y = 3 do these equations have one solution, no solutions, or infinite solutions.