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3 years ago

How far apart in feet are Marcus and Joel. Please round your answer to the nearest tenth of a foot

Mathematics

1 answer:

Pavel [41]3 years ago

8 0

Answer:

The distance between Marcus and Joel is approximately 127.3 feet.

Step-by-step explanation:

The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:

d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet

d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet

We can apply the pythagora's theorem to find the distance between Marcus and Joel.

d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²

d(Marcus,Joel)² = (90)² + (90)²

d(Marcus,Joel)² = 2*(90)²

d(Marcus, Joel) = sqrt(2*(90)²) = 90*sqrt(2) = 127.279 feet

The distance between Marcus and Joel is approximately 127.3 feet.

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For the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. H

Ostrovityanka [42]

Answer:

The number of possible dinner specials are 4368.

Step-by-step explanation:

The number of dinner specials = 5

They include appetizer, a salad, an entree, a side dish, and a dessert.

Possible items to choose from = 16.

They are 1. Appetizer Chicken strips, 2. Shrimp cocktail, 3. Buffalo wings, 4. Potato skins, 5. Salad Garden, 6. Caesar Entree T-bone steak, 7. Pot roast, 8. Lamb Side dish Corn, 9. Rice, 10. French fries, 11. Baked potato, 12. Pinto beans, 13. Dessert Chocolate cake, 14. Brownies, 15. Ice cream, 16. Apple pie

This is a combination problem requiring a combination solution with the following formula and steps:

C (n, r) =? C (n, r) = ?

n choose r

n (objects) = 16

r (sample) = 5

C (n, r) =? C (n, r) = ?

C (n, r) =C (14,5) C (n, r) =C (16,5)

=16! (5! (16−5)!) =16! (5! (16−5)!)

= 4368

3 0

2 years ago

A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop

Agata [3.3K]

Answer:

1.44 pounds

Step-by-step explanation:

From the above question, we are told that:

The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.

If the price of 1 chocolate bar = 72p

2 chocolate bars =

72p × 2

= 144p

Hence, Sian spends 144p

We are asked to convert our answer to pounds

The symbol p represent pence in money form

Hence,

100p(pence) = 1 pound

144p(pence) = x

100p × x = 144p × 1

x = 144p/100p

x = 1.44 pounds

Therefore, Sian spends 1.44 pounds

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3 years ago

A basket has y+10 apples, they are divided equally between 5 kids. How many apples did every kid get?

mezya [45]

Answer:

15+10=15

Step-by-step explanation:

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3 years ago

a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas

Katyanochek1 [597]

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

brainly.com/question/9032119

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1 year ago

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zimovet [89]

Answer:

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Step-by-step explanation:

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x²+10x-24=0 Divide everything by -1

(x+12)(x-2)=0 Factor it out

x=-12,2 Solve so that the inside of the parentheses equals 0

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3 years ago

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