Answer:
x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.
Total area of wood = 2942.54 cm^2.
Step-by-step explanation:
sin 15 =8/x
x = 8 / sin 15
x = 30.91 cm.
and
tan 15 = 8/y
y = 8 / tan 15
= 29.86 cm.
The value of z can be found using the Pythagoras theorem:
50^2 = x^2 + z^2
z^2 = 20^2 - x^2 = 50^2 - 30.91^2
z^2 = 1554.57
z = √1554.57
= 39.30 cm.
b. The area consists of 3 rectangles :- 1. sides x and z 2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.
Total area = 30.91 * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86
= 2942.54 cm^2.
The answer is: "64 cubic inches" ; or, write as: "64 in³ " .
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Explanation:
V = L * w * h ;
= (4 inches) * (4 inches) * (4 inches) ;
(since a "cube" has the same length, width, and height)
= (4*4*4) inches * inches * inches) ;
= 16 * 4 * inches³ ;
= 64 inches³ ; or, write as: "64 in³ " ; or, write as: "64 cubic inches" .
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Answer:
If you are trying to simplify this, the answer would be: 
Hope this helps! If not, feel free to comment below and I'll see what else I can do to help. Thanks and good luck!
Answer:
26
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
64+b = 90
Subtract 64 from each side
64-64 +b = 90-64
b = 26
