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3 years ago

What is the area, in square centimeters, of the trapezoid below?

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

36 cm²

Step-by-step explanation:

1/2 × (8.9+5.5) ×5.5

1/2×14.4×5.5

1/2×72

36 cm²

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Show me the work on 1686 divided by 3

Ivahew [28]

Divide 1686 by 3 to get 562.

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4 years ago

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The weight of water is 62 1/2 lb per cubic foot. Water that weighs 350 lb will fill how many cubic feet?

valentinak56 [21]

The question is worded incorrectly. It should say the DENSITY of water is 62 1/2 lbs per cubic foot. Divide the weight by the density to get volume.

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3 years ago

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

Solution:

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

The total area of pyramid is given by:

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

The area of base is given as:

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

The lateral area is given as:

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

Summarizing the results:

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

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3 years ago

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Vikentia [17]

Answer:

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hope it helps

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3 years ago

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castortr0y [4]

Find y by maybe Pulling out like terms :

1.1 Pull out like factors :

-y - 3 = -1 • (y + 3)

Equation at the end of step 1 :Step 2 :Solving a Single Variable Equation :

2.1 Solve : -y-3 = 0

Add 3 to both sides of the equation :
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Multiply both sides of the equation by (-1) : y = -3

One solution was found : y = -3

Processing ends successfully

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3 years ago

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