Answer:
-3
Step-by-step explanation:
(-2)^-3 x (-24)
(-2)^3 becomes 1/(-2)^3 in order to make the negative exponent a positive one.
then, you do 1/-8 (the -8 is the (-2)^3 simplified) x -24
1/-8 x (24) = 24/-8 = -3.
Hope this helps! :)
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: 5
One half of 10 is 10/2 or 1/2(10)
10/2 = 5
1/2(10) = 5
Area of square = 15 x 15 = 225 cm^2
area of circle = pi r^2 = (3.14)(15)(15) = 706.5 cm^2
1/4 of circle = 706.5 / 4 = 176.6
so area of yellow region = 225 - 176.6 = 48.4 cm^2
answer
48.4 cm^2
Answer: 3
Step-by-step explanation:
At first you would subtract 39 from 60. Then you would do 21/5.5 and you would get 3.818… and due to the fact you can't go over 60 you would round to 3 and not 4