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olasank [31]
3 years ago
8

an 18 foot leans against a wall. The base of the ladder is 9 feet from the wall on the level ground. How many feet up the wall,

to the nearest tenth of a foot, is the top of the ladder
Mathematics
1 answer:
Anna007 [38]3 years ago
3 0

Answer:

15.6

Step-by-step explanation:

We need to use Pythagorean theorem:

hypotenuse ² =( leg 1)² + (leg 2)²

Hypotenuse is 18 ft.

leg 1 = 9 ft.

18² = 9² + (leg2)²

(leg 2)² = 243

(leg 2) = +√243 ≈ 15.6 (ft)

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HELP!
Contact [7]

This is about changing subject of formula.

<u><em>1) Option D</em></u>

<u><em>2) Option B</em></u>

<u><em>3) Option C</em></u>

<u><em>4) Option C</em></u>

<u><em>5) Option B</em></u>

  • 1) \frac{2}{3}x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by \frac{3}{2}.

Option D is correct

  • 2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

  • 3)  S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

  • 4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved  $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

  • 5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x \leq 250

11x \leq 250 - 35

11x \leq 215

x \leq 215/11

x \leq 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0
3 years ago
The value of a car x years from now is given by v(x) = 2000(0.75)x. What is the annual compound interest rate of depreciation?
patriot [66]
Hello! So because the value in the parenthesis is less than one, this represents exponential decay. 0.75 is 75% in decimal form. Percents are parts of 100. let's multiply that number from 100. 100 - 75 is 25. There. The rate of depreciation is 25%.
4 0
3 years ago
A meteorologist forecasted that Monday's high temperature would be 76°F. On Monday, the temperature reached 80°F. What is the pe
gtnhenbr [62]

Answer:

5 % error

see the solution

3 0
3 years ago
Read 2 more answers
Cindy needs to work a total of 240 hours at her internship. Though she currently has 177.13 hours completed. How many more hours
Klio2033 [76]

Answer:

62.87

Step-by-step explanation:

240-177.13=62.87

3 0
3 years ago
Read 2 more answers
What two factors give me a product of -56 and a sum of 1
OverLord2011 [107]

Answer:

8 • -7

Step-by-step explanation:

because if you multiply these numbers you would get -56 and if you add them the answer will be 1.

4 0
3 years ago
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