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frosja888 [35]
3 years ago
13

Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far is the bottom of th

e ladder from the base of the house? Leave the answer as a simplified square root.
Mathematics
1 answer:
krek1111 [17]3 years ago
4 0

Answer:

3 \sqrt{11}

Step-by-step explanation:

Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.

{a}^{2}  +  {b}^{2}  = c {}^{2}

where a and b are the legs and c is the hypotenuse l.

Let plug it in

{a}^{2}  + 15 {}^{2}  =  {18}^{2}

{a }^{2}  + 225 = 324

{a}^{2}  = 99

a =  \sqrt{99}

a =  \sqrt{9 \times 11}

a = 3 \sqrt{11}

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If a right circular cone has radius 4 cm and slant height 5cm then what is its volume?​
lyudmila [28]

Answer:

V≈50.27cm³

Step-by-step explanation:

Using the formulas

V=πr2h

3

l=r2+h2

Solving forV

V=1

3πr2l2﹣r2=1

3·π·42·52﹣42≈50.26548cm³

6 0
2 years ago
PLEASE HELP!!!!!!!!!!!!1
skelet666 [1.2K]
A. Let x = cheese and
y = chocolate
2x + y = 25
x + y = 20

B. Subtract the second equation from the first.
2x + y = 25
-(x + y = 20)
-—————
x = 5

Plug 5 back in to the second equation and solve for y.
x + y = 20
5 + y = 20
Subtract 5 from both sides.
y = 15
5 cheese and 15 chocolate

Used elimination method because coefficients on the y values were both 1 so it was easy to subtract the equations and eliminate the y variable.


5 0
3 years ago
Please and thank you
KatRina [158]

Answer:

\huge\boxed{\sf x = 4}

Step-by-step explanation:

If the given polygon is a regular polygon, its sides are equal.

This means:

x^2+4=x^2+x

Subtract x^2 to both sides

4 = x

OR

x = 4

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
Read 2 more answers
(2.4-(0.3-3.21)/2+0.44/(-2))/2/5
Taya2010 [7]
The answer would be 0.3635
7 0
3 years ago
Read 2 more answers
What is the value of the underlined digit 24 the 2 is underlined?
zhannawk [14.2K]

Answer:

20

Step-by-step explanation:

ones= 1

tens= 10

Hundreds= 100

The difference between ones and tens is the 0. ones=1. tens=10

<u>2</u>4

The 2 is in the beginning so its the 10's place. The 4 is the second number so its in the ones place

3 0
3 years ago
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