Answer:12.1
Step-by-step explanation:
Angle D=180-(82+52)
Angle D=180-134
Angle D=46
Using sine rule
e/sinE=d/sinD
e/sin52=11/sin46
e/0.7880=11/0.7193
e/0.7880=15.29
Cross multiply
e=15.29 x 0.7880
e=12.05
e=12.1 approximately
The surface area of triangular prism is 117.12 mm²
<u>Explanation:</u>
Base side, a = 9 mm
Base side, b = 6.6 mm
Base side, c = 5.2 mm
Height, h = 4 mm
Total surface area = ?
We know,
Surface area, A = 2 Ab ( a+b+c) h
Ab = √s(s-a) (s-b) (s-c)
s = a+b+c/2
Solving for A
A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴
A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴
A = 117.12 mm²
Therefore, the surface area of triangular prism is 117.12 mm²
Answer:
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Step-by-step explanation:
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal.
Then, the requested line will have a slope equal to:
Thus, the line is of the form:
We substitute point 
and find "b":
Finally, the equation is:
Answer:
Answer:
Here is the answer
Step-by-step explanation:
Radius is 4. Volume is 134.04. Volume of cylinder is 402.12 and Volume of Sphere is 268.08
