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2 years ago

Dori filled her car with 26.5 gallons at the start of her trip. Upon arrival she

Mathematics

2 answers:

iogann1982 [59]2 years ago

4 0

Answer:

4.2 × 10⁴ mi

Step-by-step explanation:

Given data

Average speed: 25 miles per gallon

Fuel: 26.5 gallons

The distance (d) traveled with this amount of fuel is:

26.5 gal × 25 mi/gal = 6.6 × 10² mi

The distance traveled is equal to the difference between the final reading of the odometer and the initial one.

d = final reading - initial reading

initial reading = final reading - d = 43,156 mi - 6.6 × 10² mi = 4.2 × 10⁴ mi

We can estimate that the initial reading of the odometer was around 4.2 × 10⁴ mi.

scoray [572]2 years ago

3 0

Answer:

1726 miles.

Step-by-step explanation:

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Answer: It's slope is zero

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Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation o

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2 years ago

Part B

Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is $4.6\ miles$

Part B) The length of a straight line between the school and the hospital is $2.1\ miles$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and C(4.3,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(4.3)^{2}}$

$d=4.6\ miles$

Part B) we have that

The hospital is 3.1 miles west of the fire station

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(0,0) and D(1.2,1.7)

substitute

$d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}$

$d=\sqrt{(1.7)^{2}+(1.2)^{2}}$

$d=2.1\ miles$

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2 years ago

A circular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

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Answer:

D. 108 degrees

Step-by-step explanation:

use the formula (n-2)180/n, n being number of sides.

In this case, the number of sides is 5.

plug it into the formula and solve:

(5-2)180/5

(3)180/5

540/5

108 degrees.

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