Answer:
The number of adults, a, is 300, and the number of kids, k, is 200.
Step-by-step explanation:
k + a = 500 (1)
3k + 10a = 3,600 (2)
Multiply both sides of equation (1) by -3.
(k + a) • -3 = 500 • -3
-3k − 3a = -1,500
Now, add this equation to equation (2).
3k + 10a = 3,600
+ -3k − 3a = -1,500
7a = 2,100
a = 300
Substitute the value of a into equation (1).
k + a = 500
k + 300 = 500
k = 500 – 300
k = 200
In the system of equations, a represents the number of adults and k represents the number of kids who visited the carnival. The number of adults, a, is 300, and the number of kids, k, is 200.
Answer:
64 feet
Step-by-step explanation:
1. perimeter would be 2x the length + 2x the width.
2. that would be 2(x+8) + 2(12)
3. simplified it would be 2x+16+24
4. combine like terms would be 2x+40
5. substitute 12 for x
6. 2(12)+40
7. 24+40
8. 64 feet
Answer:
104
Step-by-step explanation:
Hey There!
So essentially what this problem is asking us to do is solve for the missing angle in a triangle
Remember all of the angles in a triangle will add up to 180
so to find the missing angle we subtract the given angles (38 and 38) from 180
180-38-38=104
so we can conclude that angle A equals 104
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.