From a distance of 43 feet from the base of a building the angle of elevation to the top of the
building is 64º. Estimate the height of the building to the nearest foot.
A) 21 feet
B) 39 feet
C) 88 feet
D) 19 feet

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

Learn more about cosine function at: https://brainly.com/question/29100023

#SPJ1

Answer:

Step-by-step explanation:

We can use similar triangles to find the function that models the length of the woman's shadow. If the woman is standing at a distance d from the base of the lamp, the length of her shadow will be proportional to her height, so the ratio of the shadow length to the height will be equal to the ratio of the distance from the base of the lamp to the height of the lamp.

So, if h is the woman's height and L is the length of her shadow, we have:

L/h = d/13

And since h = 6 feet, we can write:

L = (d/13) * 6

So the function that models the length of the woman's shadow in terms of her distance from the base of the lamp is:

L = (d/13) * 6

As per given by the question,

The given point that jamie will plot is,

Now,

Here, the x coordinate is 9 and y coordinate is 5.

According to the option,

Already mention in many option, Jamie start at point (1, 1), but here start at the origin.

So,

Option A, B, C, D is not correct because of start at point (1, 1).

Here, only mention those point, which is start from origin.

Now, check for option E, F, G, H

Here, x coordinate is 9 and y coordinate is 5.

So, start at the origin and count 9 unit to the right for x coordinate and for y coordinate, start at the origin and count up to 5 unit.

Hence, the option E and H is correct.

3.1.1

Answer:

Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.

Double-Entry Accounting

When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.

3.1.2

Fixed Debit or Fixed debt:

A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.

Types of fixed debts:

Flexible Debit Card :

The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.

One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.

Any type of debit card is a flexible debit card

#SPJ9

Answer:

x = 16

Step-by-step explanation:

Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:

(2 + x)*2 = 6²

4 + 2x = 36

Subtract 4 from both sides

2x = 36 - 4

2x = 32

Divide both sides

2x/2 = 32/2

x = 16

Answer:

23.5 miles a gallon, and $18.90 trip cost.

Step-by-step explanation:

16 is the full tank, and 6 is 3/8ths of that, so 6 gallons were used during the trip.

Miles per gallon:

141/6 = 23.5

The fuel mileage was 23.5 miles a gallon.

Cost:

6 * 3.15 = 18.9

The cost of the trip was $18.90.

Answer:

y=4x+2 is answer .......

The expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

The mathematical statement is given as

The difference between 12 and ten times a number is 28

The difference of numbers means subtraction

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times a number is 28

Let the number be x

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times x is 28

The product of numbers means multiplication

So, we have

The difference between 12 and ten times a number is 28 => 12 - 10 * x is 28

Evaluate the product

The difference between 12 and ten times a number is 28 => 12 - 10x is 28

Rewrite as

The difference between 12 and ten times a number is 28 => 12 - 10x = 28

Hence, the expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Answer: The probability of an event happening is the number of successful outcomes (also known as favorable outcomes) divided by the total number of possible outcomes.

In this case, the spinner has 16 equal regions numbered from 1 to 16, so the total number of possible outcomes is 16.

The spinner will stop on an even number or a multiple of 3 when it stops on one of these numbers: {2, 4, 6, 8, 10, 12, 14, 16, 3, 9, 15}. So the number of successful outcomes is 11.

Therefore, the probability that the spinner will stop on an even number or a multiple of 3 is:

11 / 16

This can be simplified to 11/16, which is equivalent to 0.6875 as a decimal. Rounded to four decimal places, it is 0.6875.

Alternatively, you could divide the 11 favorable outcomes by the 16 possible outcomes and also multiply by 100 to convert it to percentage point probability.

Step-by-step explanation:

================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

------------------------------

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

-------------------------------

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

-------------------------------

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Answer:

P(t) = 800 * 0.98^t

Step-by-step explanation:

If the population of a species in a preserve is 800, and it is expected to decrease at a rate of 2% each year, we can use the exponential decay model to represent the population after t years:

P(t) = P (1 - r)^t

P = initial population (800 in this case)

r = decay rate (2% or 0.02 as a decimal)

t = time

Substituting the given values into the formula, we get:

P(t) = 800 * (1 - 0.02)^t

P(t) = 800 * 0.98^t

So, the equation is P(t) = 800 * 0.98^t

Part 1

Remember that

If two triangles are similar , then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Verify the proportion

38.5/14=22/8

38.5*8=14*22

308=308 -----> is true

that means

Part 3

Verify the proportion

22/9=30/12=25/10

2.44=2.5=2.5 ------> is not true

that means

Answer:

y = 10

Step-by-step explanation:

2y+30 = 3y+20

3y-2y= 30-20

y = 10

Answer:

\((2y30) = ( 3y + 20)\)

so its 10 bc 30-20

abe

Step-by-step explanation:

aisha ate more because aisha slice was cut into more pieces. then leaving her with the smallest peice and abe had less slices then leaving him with bigger slices so in conclusion abe ate more

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Learn more about monthly installment at https://brainly.com/question/3260195

#SPJ1

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

For more such questions on divisible

https://brainly.com/question/29373718

#SPJ8

Answer: The total distance covered by the car is 331 9/16 km.

Step-by-step explanation:

We know that, speed= distance/time taken

Therefore, distance = speed x time taken

= 132 5/8 x 2 1/2

= 5/2 x 1061/8

= 5305/16

= 331 9/16 km

Therefore, total distance is 331 9/16 km.

Read more about the calculations of Distance,

https://brainly.com/question/51872423

The function g (x) is called an inner function and the function f (x) is called an outer function. Hence, we can also read f [g (x)] as “the function g is the inner function of the outer function f”.

Given that,

f(x) = 2x²+2  and

g(x)=x2-1

So find the (f- g)(x).

(f- g)(x) means,

Multiply x into f and g functions

Then, (f- g)(x) = f(x)-g(x)

Replace with f(x) and g(x) values in this equation

So,

(f- g)(x)= f(x)-g(x)

          = (2x²+2) - (x2-1)

Distribute the subtraction to all three of the last terms.          

          = 2x²+2-2x+1

          = 2x²-2x+2+1

Combine like terms

  (f- g)(x) = 2x²-2x+3

Therefore,

f(x) = 2x²+2 and

g(x)=x2-1,    

So,

       (f- g)(x) = 2x²-2x+3.

Learn more about event correlation here: brainly.com/question/4599821

#SPJ9

Answer:

Step-by-step explanation:

If the age of a cat is represented by 'x' and human years by 'y', relation between the age of cat and human years will be,

y = 4x + 16 [multiplying cat's age by 4 and by adding 16]

Now from the given table,

If x = 2,

y = 4×2 + 16

  = 24

If y = 3,

y = 4×3 + 16

  = 28

If x = 4,

y = 4×4 + 16

  = 32

If x = 5,

y = 5×4 + 16

  = 36

If x = 6,

y = 6×4 + 16

  = 40

Cat age             2            3           4            5            6

Human years   24          28        32          36          40

Answer:

Solution given:

lowest =0

highest=11

the range in hours spent watching Netflix=

highest-lowest =11-0=

Range is 11.

Answer:

Solution : here ,

lowest = 0

Highest = 11

the range in hours spent watching Netflix

=highest — lowest

= 11 —0

= 11

the range = 11

hope it is helpful to you

Answer:

X = 66

Step-by-step explanation:

A straight line is equal to 180 degrees so if you have one side of that line you can figure out the inside angle.

Now that you have two of the angles inside the triangle add them up. All the interior angles of a triangle will add to 180. So add up 38 and 76 to get 114. Now do 180 - 114, you should get 66

so x = 66

Answer:

675

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(5t - 3) · (3t + 7)

t = 6

Step 2: Evaluate

Answer:

(5t -3)(3t+7) (im multiplying them together, if that's not what the questions asking lmk. but anyway, put them next to eachother and then plug in 6 for t)

(5(6) -3)(3(6)+7) (multiply where possible)

(30 -3)(18+7) (use the distributive property/foil to multiply the two)

540 +210 -54 -21 (add the positive numbers and subtract the negative )

750 - 75 (subtract)

675 (the answer)

Step-by-step explanation:

I hope this helps :)

Answer:

Step-by-step explanation:

1. (0,5) or A

2.(2,5) or B

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Square root of 8 plus square root of 1 equal 3.82842712

Algebraic integers

The square roots of an integer are algebraic integers —more specifically quadratic integers. The square root of a positive integer is the product of the roots of its prime factors, because the square root of a product is the product of the square roots of the factors.

⇒ 3.8 rounded.

⇒ = 3.82842712

Hence, Square root of 8 plus square root of 1 equal 3.82842712

Learn more about square root here: https://brainly.com/question/29775049

#SPJ3

Answer:

5

Step-by-step explanation:

Answer:

its 5 because the 6 is above five so it rounds the 4 to a 5 if that makes sense prob not lol

Step-by-step explanation: