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2 years ago

PLEASE HELP ASAP!!!!

Mathematics

1 answer:

lesya [120]2 years ago

8 0

<h2>Answer:</h2>

Part a. A square

Part b. A square

<h2>Step-by-step explanation:</h2>

A cube is a box that has six identical square faces. Hence if you take the cross-section by cutting the cube horizontally, that is, cutting it parallel to the base, the result is a square. Moreover, if you cut the cube vertically, cutting it parallel to the lateral face, the result is also a square. Finally, in both cases the cross-section is as shown in the figure below.

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Solve the compound inequality.<br> 4v+2> -2<br> or 3v-5<7

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The compound inequality of 4v + 2 > -2 or 3v - 5 < 7 is -1 < v < 4

<u>Solution:</u>

Need to solve following compound equality.

4v + 2 > -2 ------(1)

3v – 5 < 7 ------(2)

Lets first solve (1)

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Find (a) the arc length and (b) the area of a sector.

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Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{3 \pi}{2}$
r = 5 ft

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