Answer:
1278.8 ft^3
Step-by-step explanation:
radius of cylinder = r = 5.8 ft
height of cylinder = h = 8.9 ft
radius of cone = r = 5.8 ft
height of cone = H - h = 18.5 ft - 8.9 ft = 9.6 ft
volume = volume of cylinder + volume of cone
V = (pi)(r^2)h + (1/3)(pi)(r^2)(H - h)
V = (3.14159)(5.8^2 ft^2)(8.9 ft) + (1/3)(3.14159)(5.8^2 ft^2)(9.6 ft)
V = 1278.8 ft^3
Answer:
27:64
Step-by-step explanation:
162:384 = 81:192 = 27:64
6x+19.98=200
200-19.98=6x
X= 200-19.98/6
= solve for it.
Answer: x = 20
Step-by-step explanation:
Hey there! If you have any questions feel free to let me know in the comments below.
Step 1: <u>Subtract 36 from both sides.</u>
3x = 96 - 36
Step 2: <u>Simplify 96 - 36 to 60.</u>
3x = 60
Step 3: <u>Divide both sides by 3.</u>
x = 60/3
Step 4: <u>Simplify 60/3 to 20.</u>
x = 20
<span>(A) Find the approximate length of the plank. Round to the nearest tenth of a foot.
Given that the distance of the ground is 3ft.
In order to get the length of the plank,
we can use the this one.
cos 49 = ground / plank
cos 49 = 3 / plank
plank = cos 49 / 3
plank = 0.10 ft
</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
The remaining angle is equal to
angle = 180 - (90+49)
angle = 41
Finding the height.
tan 41 = height / ground
tan 41 = height / 3
height = tan 41 / 3
height = 0.05 ft.
(A) 0.10 feet
(B) 0.05 feet</span>
