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2 years ago

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What is the length of the hypotenuse of a right triangle if each of the two legs is 5 units? 5 Square root of 10 25 Square root

of 50

1 answer:

Ne4ueva [31]2 years ago

4 0

The answer would be 25 because the square root of 25 is 5.

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The carousel at a local theme park has a diameter of 32 feet. each ride last three minutes and the speed of the carousel is 4.3

Liula [17]

Answer:

1297.37 feet.

Step-by-step explanation:

Given:

The carousel at a local theme park has a diameter of 32 feet.

Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.

<u>Question asked:</u>

What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.

<u>Solution:</u>

First of all we will find the radius of the carousel:-

Diameter = 32 feet

Radius, r = $\frac{Diameter}{2} =\frac{32}{2} =16\ feet$

Now, we will find distance covered by the carousel in one ride that means its circumference;

$Circumference\ of \ the \ circle=2\pi r$

$=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet$

In 1 minute, number of revolution taken by carousel = 4.3

<u>As each ride last for 3 minutes:-</u>

In 3 minutes, number of revolution taken by carousel = 3 $\times$ 4.3 = 12.9

In 1 revolution, distance covered by carousel = 100.571 feet

In 12.9 revolution, distance covered by carousel = 100.571 $\times$ 12.9

= 1297.365 feet

Thus, the maximum distance riders travel in one full ride is 1297.37 feet.

7 0

2 years ago

4x + 5 = 2x<br> Helpp please

Elza [17]

Answer:

x=-2.5

Step-by-step explanation:

8 0

2 years ago

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Carl can swim at a speed of 2/3 meters/second. How many seconds will it take him to swim a 150 meter race

ikadub [295]

100 because 2/3 × 150= 100

5 0

2 years ago

Read 2 more answers

If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

or

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

2 years ago

Pennsylvania has a land mass of 44,816 square miles.What is the land area of Pennsylvania rounded to the nearest hundred?

sineoko [7]

The answer would be 44,800 if you want to round the hundreds place

4 0

2 years ago