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Ilya [14]
3 years ago
8

A right rectangular pyramid is sliced parallel to the base, as shown.

Mathematics
2 answers:
kherson [118]3 years ago
8 0

Answer:

15cm

Step-by-step explanation:

ELEN [110]3 years ago
7 0

The answer would be the first choice.  15 cm^{2}

Explanation: The reason for this is that the question was pretty much just asking what the area of the resulting two-dimensional cross section would be -the shape in gray- (which can be found by using the formula lw. To add on, since the dimensions of the shape are already given (5 and 3) all you've to do is multiply: 3*5=15

That's how you get to the answer.

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid
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Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

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andreev551 [17]

Answer:

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Step-by-step explanation:

The total degrees your are going to get is 180°. You already know one angle which is 45°. So you would do 180-45 to solve the equation and find the unknown angle! Hope that helped

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