Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V =
× r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V =
× r² × h
V =
× <u>6.5²</u> × 24
V =
× <u>42.25 × 24</u>
V =
× 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
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