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4 years ago

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Mathematics

1 answer:

balandron [24]4 years ago

7 0

Answer:

2π hours

Step-by-step explanation:

Given the following function:

h(t)=8*cos(t) + 11.5

we want to find its period. This function has the following form:

y = A*cos(B(x + C)) + D

where:

A = 8

B = 1

C = 0

D = 11.5

which period is computed as: 2π/B. Then, for the case of the problem:

period = 2π/1 = 2π hours

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Here is a triangular pyramid and its net.

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Answer:

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Step-by-step explanation:

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Height of triangular base = 5.2mm

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a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

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b) To find area of one lateral surface:

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Height = 8mm

Using equation (1) to find the area:

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c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

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b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

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