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3 years ago

Will give you 10 points, thank for the help!

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

Step-by-step explanation:

Area of the shaded region will be "(area of rectangle) - (area of triangle)"

Area of rectangle: 8 ft * 5 ft = 40 ft^2

Area of triangle: 1/2 * 3 ft (36 in) * 2.25 ft (27 in) = = 3.375 ft^2

40 - 3.375 = 36.625 ft ^2 = 5274 in^2

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

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3 years ago

What is 25 meters per second to miles per hour

leva [86]

Answer:

25 × 60 (1 minute) × 60 (1 hour) = 90,000 meters/hour

90,000 converted into miles is 55.923

4 0

3 years ago

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natulia [17]

Answer:

for the third one 2/5 for the fourth one 3/5

Step-by-step explanation:

For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.

For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.

hope this helps if it doesn't I will correct myself :)

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Lostsunrise [7]

Answer:

I think it's 19/4 because I looked it up and that's what it said

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3 years ago

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Answer:

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