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dolphi86 [110]
3 years ago
8

Sam runs 2 miles in 18 minutes. If Sam runs at the same rate, how far can he run in 126 minutes

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

Answer:

14 miles is the answer



Nina [5.8K]3 years ago
3 0

Answer:

14 Miles

Step-by-step explanation:

First you find the time it takes Sam to run a mile

18 min / 2 mi = 9 min

Then you divide 126 min by 9 min for 1 mile

126 min / 9 min = 14 mi

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Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall
dalvyx [7]

Answer: a) \frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

\frac{x^{2} }{a^{2} }+\frac{y^{2} }{b^{2} } = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = \frac{97}{2} = 48.5 and b = \frac{46}{2} = 23, so the equation will be

\frac{x^{2} }{2352.25 } + \frac{y^{2} }{529} = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

a^{2} = b^{2} + c^{2}

c^{2} = a^{2} - b^{2}

c = \sqrt{48.5^{2} - 23^{2} }

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

3 0
3 years ago
8/66<br> A.)7 <br> B.)8<br> C.)7 remainder of 2 <br> D.)8 remainder of 2
trapecia [35]

Don't you mean 66 divided by eight?

That would equal 8.25, or 8 remainder 2.

if you did mean 8 divided by 66, your answer is not one of your choices.

5 0
3 years ago
Read 2 more answers
Chris pays a fee if the bank balance falls below $10 on the statement dae. Prior to the statement date her balance was -3.46. Th
Zina [86]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Balance prior to statement date = - 3.46

Minimum bank balance to avoid penalty = $10

The amount of deposit, d made in time in other to avoid penalty fee?

Minimum amount that most have been deposited, d :

Balance prior to statement + d ≥ minimum bank balance to avoid penalty

-3.46 + d ≥ 10

d ≥ 10 + 3.46

d ≥ 13.46

Hence, the minimum amount that must have been deposited to avoid penalty is 13.46

4 0
3 years ago
If the line you graph is exactly the same as the first one, how many solutions do you
Aleks04 [339]
I think it’s infinitely many
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3 years ago
The Lopez Family meets with a financial planner who advises them to save 15% of their income
soldi70 [24.7K]

Answer:

$1281

Step-by-step explanation:

8540 \times  \frac{15}{100}  \\ 1281

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3 years ago
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