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Kisachek [45]
3 years ago
15

Find the area of the shape below:

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

Area of shape = 120 m²

Step-by-step explanation:

Given:

Height of triangle joint = 4 m

Base = 12 m

Width = 8 m

Find:

Area of shape

Computation:

Area of shape = Area of triangle + Area of rectangle

Area of shape = (1/2)(Base x height) + [Base x Width]

Area of shape = (1/2)(12 x 4) + [12 x 8]

Area of shape = 24 + 96

Area of shape = 120 m²

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The frustum can be considered as consisting of a square pyramid, less the

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Reasons:

The given parameter of the frustum are;

The density of the frustum, ρ = 85 g/cm³

Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}

x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm

V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)

B₁ = 10², B₂ = \left(4\frac{4}{9} \right)^2

Therefore;

V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9}  \right)^2  + \sqrt{10^2 \times  \left(4\frac{4}{9}  \right)^2} \right) \approx 218.93

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Mass = Volume × Density

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Learn more here:

brainly.com/question/24323975

8 0
3 years ago
Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?
Anna11 [10]

Answer:

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Step-by-step explanation:

Given

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By substituting the right values in the formula above;

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3 years ago
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Step-by-step explanation:

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