Can someone help me with the name of this shape?
1 answer:
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Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone = πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a.
First, let's find the lowest common multiple
LCM = 169
=
=
= 20/ 169
b.
The lowest common multiple is 119
=
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
=
= 386/ 169
d.
The lowest common multiple is 169
=
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
#SPJ1
Answer: (2, -25)
Step-by-step explanation:
The x coordinate of the vertex is .
When x=2, .
So, the vertex is (2, -25).
