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Sonja [21]
3 years ago
10

Tina wants to install a square hot tub in her backyard.The backyard is 10feet by 50 feet ,and the hot tub will be 8 feet of the

backyard that will not be covered by the hot tub
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

436 square feet will not be provided for

Step-by-step explanation:

In this question, what we are simply asked to do is to calculate the area of the backyard that would be left after installing a square Hottub.

To get the answer here, what is necessary to do is to subtract the area of the square hot tub from the area of the rectangular yard.

Mathematically, the area of the mathematical yard would be :length * width: the length here is 10 feet and the width is 50 feet.

The area is thus 10 * 50 = 500 square feet

Now, we calculate the area of the square hottub = S^2 where S is the length of the side of the square. In this particular case, S = 8. The area of the square is thus; 8 * 8 = 64 square feet

Now the area left uncovered would now be; 500 sq feet - 64 square feet = 436 square feet

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timurjin [86]

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

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3 years ago
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Answer:

It's choice 2.  c = 3 sin 45 / sin 40.

Step by-step explanation:

m< A = 180 - 45-95

= 180 - 140

= 40 degrees.

So by the Sine Rule:

c / sin 45 = 3 / sin A

Cross multiply:

c sin A = 3 sin 45

c =  3 sin 45 / sin 40.

8 0
3 years ago
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Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t
alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0
3 years ago
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.
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Answer:

6%

Step-by-step explanation:

$156/5 years = $31.20 per year

$31.20/$520 = .06

.06 x 100 = 6%

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