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PolarNik [594]
3 years ago
5

If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot

tom of the building? Round to the nearest tenth of a foot.
Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

Sindrei [870]3 years ago
8 0

Answer:

9.6

Step-by-step explanation:

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Find a in the figure below and place the value in the empty box
AleksAgata [21]

Answer:

a = 12m

Step-by-step explanation:

In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to  the sum of the squares of the other two sides. This theorem can be written as an equation....

c^{2} = a^{2}  + b^{2}

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following

c^{2} = a^{2} + b^{2}

a^{2} = c^{2} - b^{2}

a^{2} = 15^{2} - 9^{2}

a^{2} = 225 - 81

a^{2} = 144

a = \sqrt{144}

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3 years ago
The local park has 4 bike racks. Each bike rack can hold 15 bikes. There are 16 bikes in the bike racks. What expression shows t
Step2247 [10]
44 that's a tricky question at first i thought it was -1 lol
5 0
3 years ago
A guitar factory has a cost of production C(x)=75x+50000. If the company needs to break even after 150 units sold, at what price
s2008m [1.1K]
Step by step explanation:

75x + 50000 = 150x

50000 = 75x

x = 50000/75 = 666.67



answer:

666.7 || rounded to the nearest greatest cent
4 0
3 years ago
From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

P=\frac{45}{70}= 0.64

(1-P)=1-0.64=0.36

n= 70

P ± z \sqrt{\frac{P(1-P)}{n} }

where the value z will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of z corresponding to 0.0975 is 1.96

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0.64 ± 1.96 (0.057)

0.64 ± 0.112

64%% ± 11.2%

so the confidence interval is

64+11.2=75.2%

64-11.2=52.8%

[52.8, 75.2]

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3 years ago
What is the equation for this table? 30 points!!!!
Marat540 [252]
That was made up?cz I tried to solve it and I kept getting different #s
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3 years ago
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