Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
Answer:50
Step-by-step explanation:
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
Answer:
Step-by-step explanation:
Given
Required
Determine the difference
Represent this with d.
d is calculated using
The equation becomes
