Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Yes pi, which letter please?7th grade is not an average
To find the surface area, multiply length x width x height.
let "length" = l
l x 32 x 36 = 4344
Simplify
l x (32 x 36) = 4344
l x 1152 = 4344
Isolate the length. Divide 1152 from both sides
(l x 1152)/1152 = (4344)/1152
l = 4344/1152
l = 3.77 (rounded)
3.77 cm is your length.
hope this helps
Answer:
1131.0 m³
Step-by-step explanation:
Using the formula for the volume of a cylinder, fill in the appropriate values and do the arithmetic.
V = πr²h
Since this formula needs the radius of the cylinder and you are given the diameter, you must divide the diameter by 2 to get the radius:
r = d/2 = (12 m)/2 = 6 m
Then the volume is ...
V = π(6 m)²(10 m) = 360π m³ ≈ 1131.0 m³ . . . . . rounded to tenths
