Find the height of a parallelogram with a base 24 inches and the area of 432 square inches

Mathematics

1 answer:

ki77a [65]3 years ago

6 0

Answer:

the height of the parallelogram would be 18 inches.

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A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students

ValentinkaMS [17]

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

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2 years ago

Select all angles that MUST be supplementary to 9

erastova [34]

Answer:

Angles supplementary to angle 9 = Angle 10, 7, 5, 1, 4, 3, 15, 12, 24, 22, 20, 19, and angle 16.

Step-by-step explanation:

Use the vertical, and corresponding angles theorem to find congruent angles.

Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.

Something is supplementary if it adds to 180 degrees.

The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.

The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.

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3 years ago

What is the derivative of Y =x√(2x + 1)/e^xsin^3(x).?

blagie [28]

$-\dfrac{\mathrm{e}^{-x}\left(\left(2x^2-2x-1\right)\sin\left(x\right)+\left(6x^2+3x\right)\cos\left(x\right)\right)}{\sqrt{2x+1}\sin^4\left(x\right)}.$