PLEASE SOLVE AL QUESTIONS, PLEASEEE!!

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

9514 1404 393

Answer:

a) 2

b) left: 3; lower right: 5

c) upper right: 53°; bottom: 82°

Step-by-step explanation:

a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.

the scale factor is 2

b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.

left side: 2×1.5 = 3

lower right side: 2×2.5 = 5

c) Corresponding angles of similar figures are congruent.

upper right angle: 53°

bottom angle: 82°

___

The arithmetic of problem 4 is correct as shown.

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P= -24 q= 12 r= -6 a. (pxq):(q+r) b. (pxr):(r-q) what the answer?

kolezko [41]

Step-by-step explanation:

a. ( p × q ) ( q + r )

= ( -24 × 12 ) ( 12 + -6 )

= 288 × 18

= 5184

b. ( p × r ) ( r - q )

= ( -24 × -6 ) ( -6 - 12 )

= ( 144 ) ( -18 )

= -2592

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3 years ago

An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the

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The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

<h3>Can this atrium be built in the rectangular plot of land?</h3>

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First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. $\blacksquare$