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taurus [48]
3 years ago
13

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the

length of the hypotenuse
Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

The option <u> J 36.7 inches</u>  best represents the length of hypotenuse.

Step-by-step explanation:

<u><em>The question is incomplete, so below is the complete question:</em></u>

A triangle has one leg of 32 inches and one leg of 18 inches. For the triangle to be a right triangle, which best represents the length of the hypotenuse?

F 34.2 inches  G 36 inches  H 41.8 inches  J 36.7 inches.

Now, to find the hypotenuse.

Leg 1 = 32 inches.

Leg 2 = 18 inches.

Now, to get the hypotenuse we use pythagoras theorem:

(Leg1)^2+(Leg2)^2=(Hypotenuse)^2

(32)^2+(18)^2=(Hypotenuse)^2

1024+324=(Hypotenuse)^2

1348=(Hypotenuse)^2

Using square root on both sides we get:

36.7=Hypotenuse

Hypotenuse=36.7\ inches.

Therefore, the option J 36.7 inches best represents the length of hypotenuse.

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A beach volleyball court is 9 meters wide and 18 meters long. The rope used
HACTEHA [7]

Answer:

14.22

Step-by-step explanation: 1.58x9 meters=14.22 meters

7 0
2 years ago
Read 2 more answers
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
2 years ago
Help me solve this give steps as well please
lorasvet [3.4K]

The total cost of 6 wave pool tickets with the discount included would be $73.5.

<h3>How to calculate the total value of 6 tickets with the discount?</h3>

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

  • $12.25 × 6 = $73.5

Learn more about tickets in: brainly.com/question/14001767

#SPJ1

7 0
1 year ago
A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?
Akimi4 [234]

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

\sqrt{(x \text{ difference })^2+(y \text{ difference})^2

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

\sqrt{4^2+3^2}

\sqrt{16+9}

\sqrt{25}

5

8 0
2 years ago
Please help with this question PLEASE!
yuradex [85]

Answer:

48 cm²

Step-by-step explanation:

The copper part is two equal triangles, find a triangle's area by counting squares and multiply by two.

Total copper=(Triangle area)(2)

=b(h)(½)(2)

=b(h)

=(6)(8)

=48 cm²

6 0
3 years ago
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