Answer: Total Volume = 15π + 18 π= 33π cubic mm
Step-by-step explanation:
What is the volume of the composite figure? Leave the answer in terms of π.
_33π mm3
We have a cone here conjoined to a semi-sphere.
so
Cone volume: C = (1/3)*(πr^2) * h
semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)
r = 3 mm and h = 5mm
so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm
V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm
Total Volume = 15π + 18 π= 33π cubic mm
6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280
-280÷-56=5
y=5
2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8
y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.
20+(-3.05)+(-9.8)=20-3.05-9.8=7.15
Step-by-step explanation:
L = length
W = width
L = W + 9
A = 112 = LW = (W+9)W
So,
W2 + 9W = 112
W2 + 9W - 112 = 0
Factoring
(W-7)(W+16) = 0
W = 7, -16
We discard W = -16, since a measurement cannot be negative.
W = 7
And since L = W + 9, then L = 7 + 9 = 16
This is a 16x7 rectangle
The <em>correct answer</em> is:
C) Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
Explanation:
A line segment is defined as a portion of a line that has two endpoints.
A vertex is defined as the common endpoint of two or more rays or line segments.
This makes C the correct option.
