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Digiron [165]
3 years ago
9

A cat is stuck on the roof. If the ladder is 12 feet long and must be placed seven feet away from the building. How high can the

ladder reach up the building to help save the cat?
Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

9.75 feet

Step-by-step explanation:

You use the pythagorean theorem to solve. A is the unknown, while b is 7 feet, and c is 12 feet

A^2 + 7^2 = 12^2

A^2 + 49 = 144

Subtract 49 from both sides to get

A^2 = 95

then take the square root of both sides to get

A (the height) = 9.74679434481

I usually round to 2 decimal points to get the answer 9.75 feet.

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Find the area and perimeter of the shape below. Help plzzz.
kozerog [31]
Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle  which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²
4 0
3 years ago
Which of the following is an example of exponential growth or decay?
Effectus [21]

Answer:

Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.

Step-by-step explanation:

7 0
3 years ago
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.
borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

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.

In this question:

n = 14, p = 0.8

P(x>10)

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

In which

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

P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501

P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501

P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539

P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981

So P(x > 10) = 0.6981.

8 0
3 years ago
Please help I will give brainliest
zloy xaker [14]
It will become a square of 5x8 so answer is 40
7 0
3 years ago
During a recent election ,53 of every 100 registered voters in certain city voted. If there were 113.100 registered voters in th
Ivanshal [37]
By the rule of 3 simple:
53/100 = x/113100
x = 53*113100/100 = 59943
8 0
3 years ago
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