Answer:
12.9
Step-by-step explanation:
sin 59 = opposite/hypotenuse
opposite is x, the dimension facing the angle 59
hypotenuse is the longest side = 15
sin 59 = x/15
x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth
Answer:
12
Step-by-step explanation:
First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.
Sin 53 degrees = opposite side / hypotenuse side.
The opposite side is x and the hypotenuse side equals 15.
sin53= x/15
15 ( sin 53 ) =x
x= 11.97953
Round
x=12
Answer:
Step-by-step explanation:
2x+y=14+y
x=7
7+13y=35-y
14y=28
y=2
Answer:
V = 115.3 ft³
Step-by-step explanation:
The left part of the figure shows a cube of side length 4.2 ft. The volume of a cube is V = s³, where s is the side length. Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.
The volume of a pyramid is V = (1/3)(base area)(height).
Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.
Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or
V = 115.3 ft³ after rounding up to the nearest tenth.
