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Romashka-Z-Leto [24]
2 years ago
10

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

0 feet, what is the height of the building
Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

50^2 + h^2 = 250^2

h^2 = \sqrt{250^2 - 50^2}

h = 244.95

The height of the building is of 244.95 feet.

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#10: find angle x and y!<br> Im struggling so much with this question please help a gurl out!
hjlf

Answers:

x = 100

y = 25

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

Explanation:

Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25

Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.

I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.

The triangle's angles 25, 75, z add up to 180. Let's solve for z

25+75+z = 180

100+z = 180

z = 180-100

z = 80

Use this to find x

x+z = 180

x+80 = 180

x = 180-80

x = 100

4 0
2 years ago
5/4 to 3/8 as a percent change
Digiron [165]
Well, what's the diffrence from 5/4 to 3/8?

\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;\frac{5}{4}&100\\\\&#10;\frac{7}{8}&x&#10;\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}&#10;\\\\\\&#10;\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
5 0
3 years ago
In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest
balandron [24]

Answer:

715 pounds

Step-by-step explanation:

<em>FV = solve</em>

<em>PV = 600</em>

<em>I% = 6</em>

<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)

Plug it in:

<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

<em>Therefore, the fee in 2016 is 715 pounds.</em>

6 0
3 years ago
Attachment is shown in the bottom
Leokris [45]

Answer: She is correct because each ratio is equivalent to 5:1, except for the last one, which is 1:5

5/1 = 5:1

10/2 = 5:1

25/5 = 5:1

10/50 = 1:5

5 0
3 years ago
Please help me , i will give a lot of points
tatiyna

Answer:

no pic

STEP-BY-STEP-EXPLANATION

7 0
3 years ago
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