please help will give Brainly look at the picture’

Please Help Will Give Brainly Look At The Picture

Answers

Answer 1

Answer:

Step-by-step explanation:

The minimum is the smallest value in a data set.

Ordering the data from least to greatest, we get:

1  2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So the minimum is 1

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

Quartile 1 is 5,        

1   2   3   5   6   7   9  11   12   13   14   16   17   19   20  

The first half is

1   2   3   5   6   7   9, the median of these numbers is 5 so Quartile 1 = 5

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

The median is 7,     1   2   3   5   6   7  9   11   12   13   14   16   17   19  20

The third quartile (or upper quartile or 75th percentile) is the median of the second half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

Quartile 3 is 16,

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

The upper half is

12   13   14   16   17   19   20, the median of these numbers is 16 so Quartile 3 = 16

The maximum is the greatest value in a data set.

Ordering the data from least to greatest, we get:

1   2   3   5   6   7   9   11   12   13   14   16   17   19   20  

So, the maximum is 20.


Related Questions

which of the following is a proportion 4/6 =9/12, 6/9= 8/12, 8/10=6/8 , 3/4=12/15

Answers

6/9=8/12
Bc
6/9=2/3=8/12

Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-4,0) , (2,-6) , (4,-8) , (10,-14) A. Relation only
B. Neither a relation nor a function
C. Function only
D. Both a relation and a function

Answers

Answer: D) Both a relation and a function

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

Explanation:

A relation is any set of (x,y) points usually with some rule tying them together. Though that rule doesn't have to be present. We could simply have a set of points. The set of points we are given is a relation.

A function occurs when we don't repeat the x value. Visually if we had two points stacked on top of each other, then we wouldn't have a function since it fails the vertical line test. A function happens when all x inputs leads to exactly one y output. If we had say { (-4,0), (2,-6), (-4,3) } then this wouldn't be a function since x = -4 repeats itself.

Since none of the x values repeat themselves in our given set, this means we have a function.

Side note: Any function is a relation, but not the other way around.

PLEASE HELP WILL MARK BRAINLIEST!!! : What is the slope of the line that passes through the points (-1, 2) and (-4, 3)

Answers

\(\huge\fbox{Hi~there!}\)

We are given two points, and asked to find the slope.

We can use this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

y2=3

y1=2

x2=-4

x1=-1

\(\displaystyle\frac{3-2}{-4-(-1)}\)

\(\displaystyle\frac{1}{-4+1}\)

\(\displaystyle\frac{1}{-3}\)

\(\displaystyle-\frac{1}{3}\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any queries.

-Sparkle-

45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator

45V745find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

   \(x = \sqrt{\frac{7}{2} }\)

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    \(cos\alpha = \frac{adjacentside}{Opposite side}\)

   \(cos45 = \frac{x}{\sqrt{7} }\)

      \(\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }\)

       \(x = \frac{\sqrt{7} }{\sqrt{2} }\)

      \(x = \sqrt{\frac{7}{2} }\)

     x = 1.8708

The ratio of cats to dogs is 4:5 if there are 20 dogs how many are there ?


SHOW YOUR WORKG!

Answers

Answer: 16 cats

Step-by-step explanation: how many times does 5 go into 20?? 4 times (5x4) so you multiply 4 by 4

A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE

Answers

Answer:

786.85

Step-by-step explanation:

A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost

What are terms in Maths ? and how many terms are there in the above question
The problem is how we can consider how many terms are there
*need explanation ​

What are terms in Maths ? and how many terms are there in the above question The problem is how we can

Answers

Answer: A term is is a single mathematical expression. For example, a is a term, 12 is a term, 2ab^2 are also a term. that means it's the things without symbols in polynomials

Step-by-step explanation:

For this problem, you can write this expression as: x/2 + y - 3, you can clearly see that there are three terms total in this problems.

what is p + 4p. Is it equivalent to 5p or no?

Answers

Answer:

Yes, It is equivalent to 5p.

Step-by-step explanation:

Answer:

It is.

Step-by-step explanation:

It is.

I had this same problem when I was younger so I'm going to explain it to you how I would've liked it to be explained to me.

2p+4p=6p. Why? Because if two things are multiplied by the same thing (for example, 49 * 5 + 51*5), you can do 100 * 5 instead of doing it out. So any time you see a variable without a co-efficient which is the number before the variable, think of it as 1p instead of p, so it would be 1p+4p which does equal 5p. Since multiplying anything by 1 is just the identity property, it doesn't change the value of p but it becomes a little easier to visualize. As you practice this more, it'll get more familiar and you won't have to remember it like this anymore.

Hope this helped, tell me if you have any questions.

ABC Computer Company has a AED20, 000,000 factory in Sharjah. During the current year, ABC builds AED2,000,000 worth of computer components. ABC’s costs are labour AED 1,000,000; interest on debt, AED100,000; and taxes, AED200,000. ABC sells all its output to Jumbo LLC Supercomputer. Using ABC’s components, Jumbo builds four supercomputers at a cost of AED800,000 each (AED500,000 worth of components, AED200,000 in labour costs, and AED100,000 in taxes per computer). Jumbo LLC has a AED30,000,000 factory. JUMBO LLC. sells three of the supercomputers for AED1,000,000 each; at year’s end, it has not sold the fourth. The unsold computer is carried on JUMBO LLC’s books as an AED800,000 increase in inventory. a) Calculate the contributions to GDP of these transactions, showing that all three approaches give the same answer. and its explanation

Answers

All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below. Under Age of 18 Over Age of 18 n1 = 500 n2 = 600 Number of accidents = 180 Number of accidents = 150 ​ We are interested in determining if the accident proportions differ between the two age groups. ​ Refer to Exhibit 11-7 and let p u represent the proportion under and p o the proportion over the age of 18. The null hypothesis is a. p u - p o = 0 b. p u - p o ≠ 0 c. p u - p o ≥ 0 d. p u - p o ≤ 0

Answers

The 95% confidence interval for the difference between the two proportions is (0.056, 0.164)

Here, we are given that from the sample information for people under 18-

n₁  =  500

x₁ =  180

⇒ p₁  =  180/ 500    

p₁  =  0.36    

then,  

q₁  =  1 -  p₁    

q₁ =  0.64

Similarly, from the sample information for people over 18, we have-

n₂  =  600

x₂  =  150

⇒ p₂  =  150 / 600  

p₂ =  0,25  

then,

q₂  =  1 - p₂  

q₂ =  1 - 0.25  

q₂ = 0,75

Now, we conduct a hypothesis test as follows-

Null hypothesis (H₀) ⇒  p₁  =  p₂

Alternative Hypothesis (Hₐ) ⇒ p₁  ≠  p₂

Confidence interval =  95 %    

⇒ significance level (α) = 5 %  

α  =  0.05  

and α/ 2  =  0.025  

⇒ z at 95% significance level = 1.96 (from z tables)

Now, we calculate z statistic-

z(s)  =  (p₁ - p₂) / EED

EED = √[(p₁*q₁)n₁  +  (p₂*q₂)/n₂]

EED = √[( 0.36*0.64)/500  +  (0.25*0.75)/600]

EED = √[0.00046  +  0.0003125]

EED = 0.028

and (p₁  -  p₂) = 0.36 - 0.25  

= 0.11

Therefore,

z(s)  =  0.11 / 0.028

z(s) = 3.93

we can see that  z(s) > 1.96

⇒ z(s) is in the rejection region for H₀

Thus, we reject H₀. We can´t support the idea of equals means

Now, CI at 95 %  = (p₁ - p₂) ±  z(c) * EED

CI = (0.11 ± 1.96 * 0.028)

CI = (0.11 ± 0.054)

CI =  (0.056, 0.164)

Thus, the 95% confidence interval for the difference between the two proportions is (0.056, 0.164)

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Your question was incomplete. Check for missing content below-

Q1. Let P, represent the proportion under and p, the proportion over the age of 18. The null hypothesis is:_____.

Q2. The 95% confidence interval for the difference between the two proportions is:____.

Gershon Smudgenick had 4 pounds of broccoli sprouts. He
went to Joe's Discount Bonanza and got some more. He ended up
with 11 pounds of broccoli sprouts. What is the fractional increase
in Gershon's broccoli sprouts? What is the percent increase in
Gershon's broccoli sprouts?

Answers

Answer: The fractional increase in Gershon's broccoli sprouts is 7/4 and the percent increase in Gershon's broccoli sprouts is 175%.

Step-by-step explanation:

The fractional increase in Gershon's broccoli sprouts is the difference between the final amount and the initial amount divided by the initial amount.

So in this case, it would be (11 - 4) / 4 = 7 / 4.

The percent increase in Gershon's broccoli sprouts is the fractional increase multiplied by 100.

So, it would be (7 / 4) * 100 = 175%.

It means Gershon's broccoli sprouts increased by 175% from 4 pounds to 11 pounds.

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).

Answers

Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

A bridal shower has 11 attendants for an upcoming Saturday. If each person brings 2 gifts and each
gift costs $6.08, how much money will have been spent for the bridal shower?

Answers

Answer:

$133.76

Step-by-step explanation:

First, determine how much money one attendant spends for the shower:

\($6.08 * 2 = 12.16\)

Each person spends $12.16 for the bridal shower.

Multiply this by 11 to determine how much money all eleven attendants spend for the shower:

\(12.16 * 11 = 133.76\)

In total, $133.76 would have been spent for the bridal shower.

6th grade math :D help me please :)

6th grade math :D help me please :)

Answers

b.) 7r+r+2, you can combine 7r and r

Answer:

B

Step-by-step explanation:

In order to combine like terms, they must share the same variable. We can't combine things 9y and 3p because they contain two different variables. On the other hand, 7r and r work because there is only one. 7r and r combine to 8r+2

what is the perimeter of the blueprint of the house?

what is the perimeter of the blueprint of the house?

Answers

Solution;

Perimeter is the distance around the edge of a shape.

\(Perimeter=2\times1.5\times1.5\times1.5\times1.5=8ft\)

The perimeter is 8ft.

Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.

Answers

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

Find the midpoint of YZ:

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

Show that the segments joining the midpoints are perpendicular:

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

Conclusion:

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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At noon, ship A is 70 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)

Answers

Answer:

57.6 km per hr

Step-by-step explanation:

Let us assume the horizontal distance between the ship is constant = x

= 70 Km

The ship A sails south at 40km/h is denoted as 40t

The Ship B sails north at 20 km/h is denoted as 20t

Now the vertical distance separating the two ships is

=  20t + 40t

= 60t

And, the Distance between the ship is changing

\(D^2 = y^2 + x^2\)

As x is constant

\(\frac{\partial x}{\partial t}$ = 0\)

Now differentiating

\(2D \frac{\partial D}{\partial t}$ = 2y $\frac{\partial y}{\partial t}$\)

The distance between two ships is at 4

So,  

vertical distance is

\(= 60\times 4\)

= 240

And, the horizontal distance is 70

\(D = \sqrt{240^2 + 70^2} = 250\)

\(2 \times 250 \frac{\partial D}{\partial T}$ = 2 \times 240 \times 60\)

So, the distance between the ships is  57.6 km per hr

John has 66 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of each color does he have?

Answers

Answer:

Black socks 35

White socks 31

Step-by-step explanation:

Need help will give brainliest and 5 stars! :)

Need help will give brainliest and 5 stars! :)

Answers

The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

What is logarithmic function?

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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Please give me the answers to all three I will mark u brilliant

Please give me the answers to all three I will mark u brilliant

Answers

Answer:

First know the formula for the area of a circle;

A = π\(r^{2}\)

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π\(r^{2}\)

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π\(r^{2}\)

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π\(r^{2}\)

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

A set of cards contains the numbers 1 through 20. Mathieu chooses a card at random, records the number of the card, and then returns the card to the set. He conducts 200 trials of this event. Based on the theoretical probability, how many times can Mathieu expect to choose a multiple of 5?
10
20
40
50

Answers

Answer:

20

Step-by-step explanation:

Answer:

the one above me is WRONG, its 40 i swear i just did the unit test

Step-by-step explanation:

Help me with math 69 POINTS

Help me with math 69 POINTS

Answers

Answer:

expression on the right

Step-by-step explanation:

Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.

Answers

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Mr.Williams bought 30 muffins and pies. Each muffin cost 2.50 dollars and each pie cost 4.50$. The pies cost 9$ more than the muffins. How many of each item did he buy?


Please find the answer

Answers

Answer:

Step-by-step explanation:

Let the muffin number = x

Let the pie number = y

x + y = 30                                 Solve for y. Subtract x from both sides

y = 30 - x    

Now calculate the cost

2.5 x + 9 = 4.5 y                        Substitute for y on the right.

2.5x  +9 =  4.5 (30 - x)              Remove the brackets.

2.5x  + 9 = 135 - 4.5 x               Add 4.5 x to both sides

2.5x + 4.5x + 9 = 135                Combine the left.

7x + 9 = 135                               Subtract 9 from both sides

7x = 135 - 9

7x = 126                                      Divide by 7                                

7x/7 = 126 / 7

x = 18

There were 18 muffins

x + y = 30

18 + y = 30                                Subtract 18 from both sides

y = 12

Answer:

18 muffins12 pies

4/3 ÷21/5 what is this answer​

4/3 21/5 what is this answer

Answers

20/63

Step-by-step explanation:

Use Keep Change Flip so your question would become 4/3 multiplied by 5/21

Answer:

20/63

Step-by-step explanation:

\(\frac{4}{3} /\frac{21}{5} =\frac{(4)(5)}{(3)(21)} =\frac{20}{63}\)

Hope this helps

Need help Please due in 1 hr

Need help Please due in 1 hr

Answers

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

What is amplitude?

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Find the volume of a sphere with a radius of 10 ft. Use 3.14 for . You may round to the nearest hundredth when necessary.

A) 4186.67ft3
B) 5712.86ft3
C) 6578.24ft3
D) 2473.58ft3

Answers

Volume of sphere is 4186.67 ft³ with a radius 10 ft.

Define volume of sphere.

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a round, three-dimensional shape. Its shape is determined by three axes: the x, y, and z axes. A sphere's volume is equal to 4/3 r³, where r is the sphere's radius. Using Archimedes' principle, one may determine volume, a fixed quantity. In accordance with Archimedes, the amount of water displaced if a solid sphere is dropped into a container of water will be equal to the volume of the sphere.

Given

Radius of sphere = 10 ft

Volume of sphere

4/3πr³

4/3 × 3.14 × 10³

4/3 × 3.14 × 1000

4/3 × 3140

4186.67 ft³

Volume of sphere is 4186.67 ft³ with a radius 10 ft.

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A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?

Answers

Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:

Cakculate the Length of line x

Answers

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √baselength² + 15²

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Cakculate the Length of line x

A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5 ft up from the base of the house?

Answers

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

From the attachment, we want to determine that x be greater than 10.5

Using sin formula:

\(Sin\ 64 = \frac{x}{12}\)

Multiply through by 12

\(x = 12 * sin\ 64\)

\(x = 12 * 0.8988\)

\(x = 10.79\) (Approximated)

Since 10.79 is greater than 10.5, then the ladder will reach the window

sin64 = x/12

x = 12* sin64

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