Is the rock in the crust able to move around more easily than the rock in the lower mantle.

Complete the following steps to calculate the altitude of the parallelogram using area methods. The area of the sheet of paper i

stiks02 [169]

Based on the calculations, we have the following:

The area of the sheet of paper is 96 square inches.
The combined area of the triangle cutouts is equal to 36 square inches.
The area of the parallelogram is equal to 60 square inches.
The altitude of the parallelogram is equal to 6.51 square inches.

<u>Given the following data:</u>

Dimension of paper = 12-inch by 8-inch.

<h3>How to calculate the paper's area.</h3>

Mathematically, the area of the paper is given by this formula:

$Area = length \times breadth\\\\Area = 12 \times 8$

Area = 96 square inches.

<u>For the four (4) right triangles:</u>

Dimension 1 = 2 inches by 9 inches.

Dimension 2 = 3 inches by 6 inches.

Therefore, the combined area of the triangle cutouts is given by:

$A_2= (2 \times \frac{1}{2} \times 2 \times 9) + 2 \times \frac{1}{2} \times 3 \times 6\\\\A_2=18+18\\\\A_2=36\;in^2$

<h3>The area of the parallelogram.</h3>

This would be determined by subtracting the area of the four (4) right triangles from the areas of the paper as follows:

$P = A_p -A_2\\\\P=96-36$

P = 60 square inches.

<h3>The altitude of the parallelogram.</h3>

$P = base \times altitude\\\\Altitude =\frac{P}{base} \\\\Altitude =\frac{60}{9.22}$

Altitude = 6.51 square inches.

Read more on parallelogram here: brainly.com/question/4459854

<u>Complete Question:</u>

A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. The resulting parallelogram has a base of approximately 9.22 inches.

8 0

2 years ago

Read 2 more answers

The tip of a pinwheel is 0. 24 m from the center. The pinwheel spins 5 times each second. What is the tangential speed of the ti

balu736 [363]

When a body is moving in circular path at a
distance r from its center its velocity at any
instant will be directed tangentially. This is
what we call tangential velocity. It is
calculated as follows:
Vt=r(w)
where w = 5 rev/s (2m rad / rev) = 31.42
rad/s
Vt = 0.24(31.42) = 7.5 m/s

7 0

2 years ago

How much heat is absorbed when 2.8 mol nh4no3 is dissolved in water? the heat of solution of nh4no3 is 25.4 kj/mol.

Kay [80]

The heat absorbed when 2.8 mol NH₄NO₃ is dissolved in water is 71.96 kJ.

Heat is the transportation of energy to or from a thermodynamic system.

By the formula of heat

$\rm (n) \times (delta\;Hrxn) = (qrxn)$