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xeze [42]
2 years ago
5

On the surface of the moon, the value of g is 1.67 m/s2. What is the horizontal distance traveled during a 2.00-meter high jump

if the jumper runs as at 20 miles per hour?
Mathematics
1 answer:
rodikova [14]2 years ago
8 0
To solve this question, you need to find how long jump is. For 2m high with <span>1.67 m/s2 it would be:

h= 1/2 gt^2
2= 1/2 * (1.67) t^2
t^2= 1.67
t= 1.29

If the speed is 20 mph and the jump is 2 second, the distance traveled would be:
20 miles/ hour * 1.29 second * (1 hour/3600second)= 0.007179 miles

If you need to convert it to meter then: </span>0.007179 mile * 1609.34meter/ mile= 11.55 meter
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A coffee bean processor can dry 4,815 pounds of coffee beans in 3 hours which unit rate correctly reflects the speed of the proc
zimovet [89]

Answer:

605 pounds/hour

Step-by-step explanation:

Given that a coffee bean processor can dry 4815 pounds of coffee in 3 hours.

We have to find the speed of the processor

By speed of the processor here we mean the unit rate i.e. no of pounds of coffee beans that the processor can process in one hour.

This is a question of direct variation

Since we have for 3 hours 4815

for 1 hour =\frac{4815}{3} =605 pounds/hour

So answer is 605 pounds/hour

Verify:

If unit rate is 605 pounds/hour, for 3 hours =605(3) = 4815 pounds

Thus verified

7 0
2 years ago
Read 2 more answers
A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
2 years ago
Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a
nadezda [96]

Answer:

                    principal     interest              total money in account

                                                                         at the end of year

Year one       $100             $4.5                              $104.5

year two        $200          $ 9 +$4.5                         $ 213.5

year three      $300          $ 9 +$4.5 + $13.5           $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total  money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

                     principal     interest    total money in account

                                                            at the end of year

Year one       100               4.5                      104.5

year two        200           9 +4.5                     213.5

year three      300           9 +4.5 + 13.5           327

7 0
2 years ago
A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of
Gnom [1K]

Answer:

b

Step-by-step explanation:

i did it

8 0
1 year ago
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An isosceles triangle used to rack billiard balls has a base of 11.25 inches. The sides of the triangle meet at a 56° angle. To
lara [203]

Answer:

The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches

Step-by-step explanation:

Given as for a Isosceles triangle :

The base of Triangle = 11.25 inches

The sides of triangle meets at 56°

Let the unknown side measure = x inches

From <u>The property of isosceles triangle</u>

The angle opposite to the same side are equal

I.e \Theta _1 =  \Theta _2 = 56°

So, The third angle = 180° - ( \Theta _1 +  \Theta _2 )

Or, The third angle = 180° - ( 56° + 56° )

∴   The third angle = 180° - 112° = 68°

Now, From isosceles triangle

Tan 56° = \frac{perpendicular}{base}

Or, Tan 56° = \frac{x}{11.25}

∴   x = 11.25 × Tan 56°

Or, x = 11.25 × 1.482 = 16.672 inches

Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches   Answer

6 0
2 years ago
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