Explore Three Dimensional Shapes: Investigation 4I need help with the worksheet

Mathematics

1 answer:

yawa3891 [41]2 years ago

8 0

1. Volume is Length x width x height.

Volume = 6 x 4 x 8 = 192 ft^2

Answer is D.

2. Divide the volume by the height to get the area of the base.

Area of base = 312 / 12 = 26 in^2

Answer is D.

3. A 1/2 x 8 x 6 = 24 x 12 = 288 cm^3

B. (12 +6)/2 x 5 = 45 x 14 = 630 m^3

4. See attached picture.

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Consider the given right triangle. If angle B = 43 degrees and c = 26.7 meters, find a.

Nady [450]

Answer: Side a equals 19.5 metres

Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.

A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).

Cos B = Adjacent/Hypotenuse

Cos 43 = a/26.7

Cos 43 x 26.7 = a

0.7314 x 26.7 = a

19.52714 = a

a ≈ 19.5 (rounded to the nearest tenth)

Therefore the length of side a equals 19.5 metres.