<h3>
Answer: 9 inches (choice D)</h3>
Work Shown:
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(12*10)*h
V = (1/3)*120h
V = 40h
Set this equal to the given pyramid volume 360 cubic inches and solve for h
40h = 360
h = 360/40
h = 9
The first one is the answer/
Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Im pretty sure its two but you might wanna double check... let me know
