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postnew [5]
3 years ago
10

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the bui

lding. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
a.4.1 feet
b.17.0 feet
c.20.6 feet
d.21.4 feet

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

c. 20.6 feet

Step-by-step explanation:

Ok, take at look at the picture I attached you. As you can see, the length of the ladder, the distance from the floor to the top of the ladder and the distance from the building to the base of the ladder, together, form a  right-angled triangle. So, in order to find how high up on the building does the ladder reach, we need to find the height h using Pythagorean Theorem:

a^2+b^2=c^2

Where:

c=Length\hspace{3}of\hspace{3}the\hspace{3}hypotenuse

a\hspace{3}and\hspace{3}b\hspace{3}are\hspace{3}the\hspace{3}lengths\hspace{3}of\hspace{3}the\hspace{3}remaning\hspace{3}two\hspace{3}sides

So, let:

b=4ft

a=h

and we know:

c=21ft

Replacing the data in the equation:

21^2=h^2+4^2

Solving for h:

h^2=21^2-4^2\\\sqrt{h^2} =\sqrt{441-16} \\h=\sqrt{425} \\h=20.61552813ft\approx20.6ft

solmaris [256]3 years ago
4 0

Answer:

sorry im late but the answer is C. 20.6

Step-by-step explanation:

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Calculate the mean,median and mode.(3 points each)
Marizza181 [45]

Answer:

1. The first set of number is

1,2,3,4,5

Mean= 1+2+3+4+5/5

= 15/5

= 3

Median= 3

Mode= N/A

The next set of numbers is

2,3,4,5,6,6

Mean= 2+3+4+5+6+6/6

= 26/6

= 4.3

Median=4+5/2

= 9/2

= 4.5

Mode= 6

The next set of number is

6,7,5,4,5,6,2,5

Mean= 2+4+5+5+5+6+6+7/8

= 40/8

= 5

Median= 5+5/2

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5 0
3 years ago
If a loan is taken out for $991 at 3% and cost 267.57 dollars how long was the loan for
CaHeK987 [17]

Answer:

9 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

t = 267.57 / ( 991 × 0.03 ) = 9

t = 9 years

The time required to

accumulate simple interest of $ 267.57

from a principal of $ 991.00

at an interest rate of 3% per year

is 9 years.

4 0
3 years ago
Lines a and b in the diagram are parallel.
Romashka [77]

Answer:

The answer is c cause I took the quiz

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help ASAP I will give brainlist!
Rom4ik [11]

Answer:

The correct answers are 1, 2, and 3.

Step-by-step explanation:

Ok

1. if the number is greater than 2, it is a solution so 57 is a solution

2. Since it has to be greater than 2, zero is not a solution

3. Since it is greater than 2 and not equal to it, two is not a solution.

4. Since it has to be greater than 2, -2 is not a solution, so <u>false</u>

5. Since it is greater than 2 and not equal to it, 2 is not a solution, so <u>false</u>

<u></u>

The correct answers are 1, 2, and 3.

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5 0
3 years ago
Solve in the correct order: (-3 - 4)/-9
galina1969 [7]
-3-4 = -7

-7/-9 = 7/9
7 0
3 years ago
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