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Fofino [41]
3 years ago
6

A painter is placing a ladder to reach the third story window, which is 11 feet above the ground and makes an angle with the gro

und of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.
Mathematics
1 answer:
grandymaker [24]3 years ago
3 0

Answer:

x = 1.91 ft

Step-by-step explanation:

We use cosine because we are dealing with Adj and Hyp

cos 80 = x/11

x = 11 cos 80

x = 1.91 ft

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The universally accepted film size for movies has a width of 35 millimeters. If you want to project a movie onto a square sheet
dlinn [17]

Answer:

<h2>The scale factor is 285.7143 ≅ 286.</h2>

Step-by-step explanation:

The square sheet has an area of 100 square meters.

Hence, the width of the sheet is \sqrt{100} = 10 meters.

The scale factor is needs to be in such a way, so that the film's wide will be match perfectly with the square sheet. Hence, 35x millimeters = 10 meters = 10000 millimeters .

x = \frac{10000}{35} = 285.7143.

6 0
3 years ago
Factor completely and then place the factors in the proper location on the grid. x 2 - 10x + 24
dem82 [27]

Answer:

<h2>(x - 6)(x - 4)</h2><h2 />

Step-by-step explanation:

x² - 10x + 24 =  (x² - 6x) + (24 - 4x) = x(x - 6) + 4(6 - x) = (x - 6)(x - 4)

7 0
3 years ago
Maths worksheet help
MA_775_DIABLO [31]
                     math worksheet
1 x+2=4
2 x+3+x=7
3 find x                                                                 here it is -   x
7 0
3 years ago
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
Find the value of x.<br> 65°<br> (x + 12)<br> X-53<br> X = 65<br> x-77<br> x = 103
SpyIntel [72]

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

8 0
2 years ago
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