Find the height of the building to the nearest foot in the diagram below. Show work.

Answer:

t = 9

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the exterior angles and equate to 360

10t + 16t + 53 + 73 = 360 , that is

26t + 126 = 360 ( subtract 126 from both sides )

26t = 234 ( divide both sides by 26 )

t = 9

The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.

The percentage of the runners has times less than 14.4 sec.

Then the z-score will be given as

[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]

Then the percentage will be

[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

A.  0.15%

Step-by-step explanation:

edge 2022

Answer:

Same spent $281.85 or approximately $282

Answer:

19 boxes, but only 18 of them will be completely full

Step-by-step explanation:

Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.

Hopefully this helps - let me know if you have any questions!

The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.

A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.

Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

Learn more about trend lines on:

https://brainly.com/question/2589459

Answer:

7 inches

Step-by-step explanation:

The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)

Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.

So the answer is 7 inches.

Yes it does include the test point (0, 0)

switch sides

Multiply both sides by -1 reverses the inequality

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5

The sum-product pattern

If the polynomial is of the form x 2 + b x + c x^2+bx+c x2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.

I am not sure what you meant but hopefully you meant this

Answer:

If the polynomial is of the form x2 + bx + cx²+bx+cx2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

25.45584...

Step-by-step explanation:

The length of the hypotenuse can be found using the pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex] So in this situation, the solution can be found by solving [tex]\sqrt{2(18)^{2} }[/tex]

Step-by-step explanation:

volume = 176 cm³

height = 7.8

radius = ?

pi = 3.14

volume of cylinder = πr²h

176 = 3.14 × r² × 7.8

176 = 24.492 × r²

176/24.4 = r²

7.21 = r²

√7.21 = r². ( Using long division )

r = 2.69 ( approx. )

Answer:

£122

Step-by-step explanation:

Total no. of pens :- 60× 14= 840

Cost of all pens :- £270

Total no. of pens sold :- 560

Cost of those pens :- £392

Charles made a profit of  £122, By selling (2/3)rd of his pens.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Charles buys 60 packs of pens and there are 14 pens in each pack.

If each pack costs £4.50.

So, The Total cost is,

=  £(60×4.50).

=  £270.

The total number of pens is,

= (14×60).

= 840, And he manages to sell (2/3) of it which is,

= (2/3)×840.

= 560.

Now, The total money made by him is,

= 540×0.7.

=  £392.

Therefore, The profit he made is  £(392 - 270) =  £122.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ7

Answer:

Quadrant III.

Step-by-step explanation:

u said the answer :3

The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.

In the first quadrant, the cot, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sine is positive.

In the third quadrant going anti-clockwise, only tangent is positive.

In the fourth quadrant going anti-clockwise, only cosine is positive.

We are told that the

sinθ < 0 and cos θ > 0.

This means that sine is negative and cosine is positive.

Looking at the rule, it is clear that the angle is in the fourth quadrant.

Read more about quadrant signs of trigonometric functions at;

brainly.com/question/12380695

#SPJ2

Answer:

1.25 x 10^3

Step-by-step explanation:

i took the test

Answer:

No

Step-by-step explanation:

If you simplify 17/8;

You'd get 2 1/8, and that is not proportional to 1/2.

Answer:NO

Step-by-step explanation:

17 is a prime number hence can't be simplified.

⇒ 17/8 can't be simplified

This can go on forever, we can then establish the recursive formula which states:

t(2)=t(1)+d

t(3)=t(2)+d, but t(2)=t(1)+d

t(3)=t(1)+d+d

t(3)=t(1)+2d

t(4)=t(1)+3d

Answer:

You mowed 112.5 square meters of your grass.

Step-by-step explanation:

First, convert the percentage to a fraction.

75% = 3/4

Then to find 75% of 150, multiply 3/4 and 150.

(3/4) * 150

(3*150)/4

450/4

112.5

We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.

Answer:

[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]

Step-by-step explanation:

Grass mowed:

= 75% of 150 m²

[Key: "of" means "to multiply" and "%" means "out of 100"]

[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]

Answer:

14

Step-by-step explanation:

There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.

Answer:

it is D

Step-by-step explanation:

since he wants no more than 15

Answer:

D

Step-by-step explanation:

Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.

Answer:

1500

Step-by-step explanation:

Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.

Now, the password may look like one of those:

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

[tex]175760 \times 4 = 703040[/tex]

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

https://brainly.com/question/2763785

Answer:

512√3 - 320√15 + 16√6

Step-by-step explanation:

4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.

Answer:

9 contestants

Step-by-step explanation:

Out of the 16 contestants, 12 of them qualified for the bonus round.

This means, that 12/16, or 75% of the contestants qualified for the bonus round.

Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.

Let me know if this helps!

Answer:The answer is 9

Step-by-step explanation:

12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.

Answer:

I think the answers is 27, just add all of those squares.

Answer:

80 ounces

Step-by-step explanation:

1 pound is 16 ounces

5 pounds is x ounces.

[tex]\frac{1}{16}=\frac{5}{x}[/tex]

Cross multiply.

[tex]\frac{16*5}{1}=80[/tex]

Answer:

185,500 -.15(185,500)=157,675

Yes he can afford it, it doesn't go over his income and it's %27 below.

Answer:

This can lead to cyclical patterns of predator and prey abundance, where prey increase in number and then, with abundant food, predator number increases ...

Step-by-step explanation:

Answer:

C. parallelogram

D. rectangle

E. kite

Step-by-step explanation:

Cannot be the square because all sides are the same. A trapezoid can have two sides the same, but not two pairs of equal sides. The remaining shapes can have two pairs of equal length sides. see image.

The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A storage box oftenly has the shape of a right rectangular prism.

We're specified that:

For Kyle's box:

For Myla's box:

Using the formula for volume of right rectangular prism to find the missing widths:

[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]

[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]

Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft

Learn more about volume of a right rectangular prism here:

https://brainly.com/question/21308574