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8 months ago

Mr. Haley is leaning a ladder against the side of his house to repair the roof.

Mathematics

1 answer:

natima [27]8 months ago

5 0

Answer:

15 ft

Explanation:

We can represent the situation with the following figure

Therefore, the length of the ladder is the hypotenuse of the right triangle formed, where the legs are 12 ft and 9 ft. Using the Pythagorean theorem, we can calculate the length of the ladder as

$\begin{gathered} Ladder=\sqrt{12^2+9^2} \\ Ladder=\sqrt{144+81} \\ Ladder=\sqrt{225} \\ Ladder=15 \end{gathered}$

Therefore, the length of the ladder is 15 ft

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Linh buys two T-shirts for $12 each, a pair of shoes for $28, and a pair of jeans for $45. She has a coupon for 30 percent off h

sertanlavr [38]

67.9

12 times 2 + 28 + 45 -30%

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2 years ago

Read 3 more answers

Find the area of a circle with radius 5mm, rounded to the nearest tenth. A. 15.7mm2 B. 31.4mm2 C. 78.5mm2 D. 246.7mm2

icang [17]

1. The Formula to getting the area of a circle is pi r^2= 3.14 times the radius squared. Plug in the number given in the question to get your answer.
2. The Circumference formula is 2pir which is 2 time 3.14 times the radius given. Plug in the number to get your answer.
3. This one is giving you the diameter, therefore you need to divide the diameter by 2 to get the radius (diameter is twice the size of radius) and plug in the radius into the first formula (3.14 times r^2) to get your answer.

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2 years ago

A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa

PSYCHO15rus [73]

Answer:

A) $\dfrac{11}{23}$

B) $\dfrac{88}{345}$

Step-by-step explanation:

A survey of 46 college athletes found that

24 played volleyball,
22 played basketball.

A) If we pick one athlete survey participant at random, the probability they play basketball is

$P_1=\dfrac{22}{46}=\dfrac{11}{23}$

B) If we pick 2 athletes at random (without replacement),

the probability we get one volleyball player is $\dfrac{24}{46}=\dfrac{12}{23};$
the probability we get another basketball player is $\dfrac{22}{45}$ (only 45 athletes left).

Thus, the probability we get one volleyball player and one basketball player is

$P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}$

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3 years ago

Tina’s bedroom is in the shape of a rectangular prism 15 feet long, 12 feet wide, and 10 feet high. It has no windows. Tina want

Tanya [424]

Answer:

720ft²

Step-by-step explanation:

Wall 1&2 = lh = 15*10=150

Wall 3&4 = wh = 12*10=120

Ceiling = lw = 12*15=180

120+150+120+150+180=720ft²

7 0

3 years ago

Every autumn, the North American Monarch

Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0

2 years ago