Mathematics
22.06.2021 09:06
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Which of the following graphs represents a proportional relationship?

Which of the following graphs represents a proportional relationship?
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jcblake
jcblake
4,4(10 marks)
The graph of a proportional relationship is a straightline that passes through the origin (0,0).

The only graph with that feature is the option c., so that is the answer.

The other graphs ar linear relationships because the are straighlines that to not pass through the origin.

the option c.
timothycarter342
timothycarter342
4,5(56 marks)

Given:

Given that the triangular prism has a base that is a right triangle.

The height of the triangular prism is 10 cm.

The side lengths of the triangle are 4.3 cm, 5.2 cm and 6.75 cm.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, sβ‚‚, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 5.2, h = 4.3, s₁ = 5.2, sβ‚‚ = 4.3, s₃ = 6.75 and H = 10 in the above formula, we get;

SA=(5.2)(4.3)+(5.2+4.3+6.75)(10)

SA=22.36+(16.25)(10)

SA=22.36+162.5

SA=184.86 \ cm^2

Thus, the surface area of the triangular prism is 184.86 square cm.

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