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Alja [10]
3 years ago
9

Which proportion could be used to find the length of side b?

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0

Answer: A for Apex.


Step-by-step explanation:


yan [13]3 years ago
3 0

Answer:

A) \frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}

Step-by-step explanation:

In order to use the Law of Sines, we must have a known angle and the known side opposite it.

The only side measure we have is that of AB, which is 6.2.  The angle opposite this is ∠C, which we do not have the measurement of.

We do have the measurement of ∠A and ∠B; we can use these to find the measure of ∠C.  We know that the sum of the measures of the angles in a triangle is 180°; this means

m∠C = 180-(72+85) = 180-157 = 23°

This makes the first ratio in the Law of Sines

\frac{\sin{23}}{6.2}

We are trying to find the measure of b.  This means we use the angle opposite b, ∠B; m∠B = 85°.  This gives us the ratio

\frac{\sin{85}}{b}

Together, this gives us the proportion

\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}

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Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

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Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

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B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

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P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

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