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1 answer:
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Answer:
B= 50.35°
C=91.65°
c= 12.77
Step-by-step explanation:
Given:
A = 38°
b= 10 and a=8.
Required:
angles B and C, and sides c.
By using the rule for law of sines
=> 0.77
B= (0.77) => 50.35°
For angle C:
angle C= 180 - A - B => 180 - 38 - 50.35
=91.65°
For side c:
c= => 8(
)
c= 12.77
This is just a shape with a peace of it cut out so if we imagine how would this figure be before it was cut. it would give us an 4×12×6 cuboid (we can use that) so first, lets caculate the volume of the bigger cuboid
then we need to caculate the valume of the two smaller cuboids.
by subtracting the valume of the bigger cuboid from our two smaller ones we will have the valume of the three-dimensional figure.
65+96=160
288-160=128
then we need to caculate the valume of the two smaller cuboids.
by subtracting the valume of the bigger cuboid from our two smaller ones we will have the valume of the three-dimensional figure.
65+96=160
288-160=128