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vredina [299]
3 years ago
6

A painter leans a 20 ft ladder against a building. The base of the ladder is 8 ft from the building. To the nearest foot, how hi

gh on the building does the ladder reach
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

Step-by-step explanation:

This is asking what is A

Formula A squared + B squared = C squared

A=x

B=8

C=20

X^2+ 8^2=20^2

8 squared is 64

20 squared is 400

400-64 is 336

X*X=336 find the square root of 336 =18.3

CHECK

18.3*18.3+ 8*8=398.89 which is super close to 400

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Dmitry_Shevchenko [17]
Yes your answer is correct
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PLEASE PLEASE HELP!! A Tigers maximum speed is 70 mph, how many miles can the cheetah run per minute
Drupady [299]
1.2 minutes per hours is the correct answer
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Find the 19th term in each sequence. 11, 33, 99, 279
Paladinen [302]

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

8 0
2 years ago
F(x) = x + 4 and g(x) = 2x + 3, evaluate each expression.
Rom4ik [11]

Answer:

15.~f(g(2))=\Large\boxed{11}\\

16.~g(f(2.5))=\Large\boxed{16}

17.~g(f(-5))=\Large\boxed{1}

18.~f(g(-5))=\Large\boxed{-3}

Step-by-step explanation:

<h3>Given information</h3>

f(x)=x+4

g(x)=2x+3

<h3>Question 15. f(g(2))</h3>

<u>Substitute values into the first function</u>

g(2)=2(2)+3

g(2)=4+3

g(2)=7

<u>Substitute the values of the first function into the second</u>

f(g(2))=f(7)

f(7)=(7)+4

f(7)=\Large\boxed{11}

<h3>Question 16. g(f(2.5))</h3>

<u>Substitute values into the first function</u>

f(2.5)=(2.5)+4

f(2.5)=6.5

<u />

<u>Substitute the values of the first function into the second</u>

g(f(2.5))=g(6.5)

g(6.5)=2(6.5)+3

g(6.5)=13+3

g(6.5)=\Large\boxed{16}

<h3>Question 17. g(f(-5))</h3>

<u>Substitute values into the first function</u>

f(-5)=(-5)+4

f(-5)=-1

<u>Substitute the values of the first function into the second</u>

g(f(-5))=g(-1)

g(-1)=2(-1)+3

g(-1)=-2+3

g(-1)=\Large\boxed{1}

<h3>Question 18. f(g(-5))</h3>

<u>Substitute values into the first function</u>

g(-5)=2(-5)+3

g(-5)=-10+3

g(-5)=-7

<u>Substitute the values of the first function into the second</u>

f(g(-5))=f(-7)

f(-7)=(-7)+4

f(-7)=\Large\boxed{-3}

Hope this helps!! :)

Please let me know if you have any questions

7 0
1 year ago
Use the interactive number line to find each sum to complete the table
Likurg_2 [28]

-1 - 2 = -3

R = -3

-4 + 1 = -3

S = -3

-6 - 3 = -9

T = -9

6 0
3 years ago
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