9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
Answer:
270
Step-by-step explanation:
becasue 100 percent of 90 would be 90
so multiply
x = 16 x sin(60) = 8sqrt(3)
answer is B.
A because the square is in the (10) place and the circle is in the (1) place and 10 is 10 times bigger than 1
