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Bas_tet [7]
3 years ago
14

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

, what is the length of the ladder? Round to the nearest foot.
Mathematics
1 answer:
Advocard [28]3 years ago
4 0

Answer:

The length of the ladder is 16\ ft

Step-by-step explanation:

Let

L ----> the length of the ladder

we know that

Applying the Pythagoras theorem

L^{2}=15^{2} +6^{2}

L^{2}=261

L=\sqrt{261}\ ft

L=16\ ft

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25 POINTS: In 1960, 21.5% of U.S. households did not have a telephone. This statistic decreased by 75.8% between 1960 and 1990.
dem82 [27]

Answer: 94.8 % (approx)

Step-by-step explanation:

Let the total household in the U.S is x,

⇒ The total household who did not have a telephone in 1960 = 21.5 % of x

= 0.215 x

According to the question,

The total household who do not have a telephone in 1990 = 75.8 % less than the household in 1960 who did not have the cell phone,

= (100-75.8)% of 0.215x

= 24.2 % of 0.215x

= 0.05203x,

⇒ The household in 1990 who had a telephone = x - 0.05203x = 0.94797x

Hence, the percentage of household who has a telephone in 1990

= \frac{0.94797x}{x}\times 100

= 94.797\%\approx 94.8\%

⇒ Around 94.8% household had telephone in the US in 1990.

7 0
4 years ago
A lottery game offers a prize of $ 200,000 at the end of thirty years. If the interest rate is 6 6​%, the present value of this
Wewaii [24]

Answer:

$34,822.03

Step-by-step explanation:

Future value after 30 years (FV) = $200,000

Time (t) = 30 years

interest rate (r) = 6% =0.06

The equation for obtaining the present value given the future value is:

PV = \frac{FV}{(1+r)^n}

Applying the data provided:

PV = \frac{\$200,000}{(1+0.06)^{30}}\\PV=\$34,822.03

The present value of the lottery prize amount is $34,822.03.

5 0
3 years ago
1. What is the absolute value of 8?
astra-53 [7]

Answer:

8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve. 8/5 = -15- 7z/30
xxTIMURxx [149]

Answer:

-138/7

Step-by-step explanation:

use l.c.m . Or multiply through by 30.

3 0
3 years ago
When Carla looked out at the school parking lot, she noticed that for every 2 minivans , there were 5 other types of vehicles. I
Scilla [17]

Answer:

115 of them are not minivans

Step-by-step explanation:

Because every 7 vehicles has 2 minivans and other vehicles, so 5/7 are not minivans   166x5/2=115

Hope this works! :)

7 0
3 years ago
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