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ICE Princess25 [194]
3 years ago
8

All vertical and horizontal cross sections of any one cube are all the same size and shape. What about vertical and horizontal c

ross sections of a pyramid? Are they all the same size? Are they all the same shape? Explain. (Using at least 3-4 sentences)
Mathematics
1 answer:
svetlana [45]3 years ago
8 0
Horizontal cross sections are the same shape: they are all squares if the pyramid is square or rectangles if the pyramid is a rectangle pyramid.
Vertical cross sections are different shape: At the pyramid top they are triangles, at other places they have four sides.

Horizontal cross sections are different size: the more we go to the top of the pyramind, the smaller they get.
Vertical cross sections are different size: the closer we get to the edges, the smaller they become.
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The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
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Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

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It’s worth 10 points if you answer!
Maksim231197 [3]

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.

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The ratios are:

sinθ = opposite/hypotenuse

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tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB      Substitute the labels in the diagram

sinx = 4/23      Substitute known values (side lengths)

x = sin⁻¹(4/23)      Isolate 'x'. Use calculator to solve.

x = 10.015....°      Exact answer

x ≈ 10°      Round to the nearest degree

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Step-by-step explanation:

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