Answer:
Step-by-step explanation:
2.75g + 4.75r = 20.50
g = 2r
2.75(2r) + 4.75r = 20.50
5.50r + 4.75r = 20.50
10.25r = 20.50
r = 20.50 / 10.25
r = 2 <==== Aaron went on 2 rides
g = 2r
g = 2(2)
g = 4 <==== Aaron played 4 games
check...
2.75g + 4.75r = 20.50
2.75(4) + 4.75(2) = 20.50
11 + 9.5 = 20.50
20.50 = 20.50 (correct)
Answer:
Step-by-step explanation:
Given
Required
Determine the percentage that do not receive treatment
This is calculates as:
<em>Hence: 25% of the volunteers do not receive any treatment</em>
Answer:
1. y = 12
x = 7.9
2. AB = 5
AC = 5√3
Step-by-step explanation:
1. If you call the straight up line of both triangles is z, then
(9 + 7)^2 = y^2 + z^2
=> z^2 = 256 - y^2
x^2 + 7^2 = z^2
=> z^2 = x^2 + 49
so 256 - y^2 = x^2 + 49
x^2 = 207 - y^2
for the left smaller triangle: 9^2 + x^2 = y^2
y^2 = x^2 + 81
Substitute:
y^2 = (207 - y^2) + 81
2y^2 = 288
y^2 = 144
y = 12
x^2 = 207 - y^2 = 207 - 144 = 63
x = 7.9
2. Sin(30) = AB/BC
=> AB = BC x sin(30) = 10 x 0.5 = 5
Cos(30) = AC/BC
=> AC = BC x cos(30) = 10 x √3/2 = 5√3
Answer: its the first one "opposite sides with equal length"