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scoray [572]
4 years ago
10

A 25 foot ladder is leaning against a house. It makes a 75 degree angle with the ground. How far is the base of the ladder from

the house

Mathematics
1 answer:
Oduvanchick [21]4 years ago
4 0
Look at the picture.

\cos 75^\circ =\frac{x}{25} \\
25 \cos 75^\circ = x \\
25 \times 0.2588 \approx x \\
x \approx 6.47

The base of the ladder is 6.47 feet from the house.

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Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standa
MA_775_DIABLO [31]

Answer:

std dev = 0.625

Step-by-step explanation:

Given that  weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.

We must change std deviation such that

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From normal distribution score we can find

10th percentile is -1.28\

i.e. we must have

12.8-1.28*s = 12\\1.28s = 0.8\\s = 0.625

Std deviation should be 0.625

6 0
3 years ago
If two angles are complementary and one angle measures 89, what is the measure of the other angle?
Misha Larkins [42]
Complimentary means they add up to 90

x is the angle we're looking for

x + 89 = 90

Subtract 81

x = 90 - 89

x = 1

A is the correct answer.
6 0
4 years ago
Sally’s game piece was on 58.
lisabon 2012 [21]

Answer:

She lands on 92.

Step-by-step explanation:

92=58+2+30+2

where she lands = 58+34

92 = 58 + 2x + y   where x=2 and y=32

5 0
4 years ago
If you are going somewhere that is 60 miles away and you're going 40 miles per hour the whole time how long will it take you to
Masja [62]
Velocity * time = distance

40 (miles / hour) * t (hours) = 60 (miles)

Take note how the units work. miles/hour * hours = miles. This is an indication that a formula we picked is correct.

Now, looking at our formula (and neglecting units at this point)

40t = 60
t = 60/40
<span>t = 1.5 hours</span>
5 0
3 years ago
Expression px2. p=3,×=4​
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Answer:

px^2= (3)4= 12^2= 144

Step-by-step explanation:

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