Answer:
x= 11/5 OR 2.2
Step-by-step explanation:
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
Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20
6x - 40 = 20
6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>
6x = 60
<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
<u>9</u><u>(</u><u>10</u><u>)</u> - 40
<u>90</u><u> </u><u>-</u><u> </u><u>40</u>
50
3x + 20
<u>3</u><u>(</u><u>10</u><u>)</u> + 20
<u>30</u><u> </u><u>+</u><u> </u><u>20</u>
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
I'm going to make some assumptions here:
That your sqrt8x= sqrt4+2x means √(8x) = √(4+2x). (There are other interpretations.)
Squaring both sides, 8x = 4 + 2x, or 6x = 4, or x = 4/6, or x = 2/3.
Round 31.9 up to 32 so you can divide it by 4 to get about 8.
