The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
Normal income: 25 $
Last week's income: 25 + 20: 45 $
% = Last week's/normal = 45/25 ×100 =180 %
Answer:
4' - 9.64
Step-by-step explanation:
Total rise = 2' - 7"
Total run = 3' - 9"
Converting to inches :
1' = 12" ; 1 feet = 12 inches
2' = 2 * 12 = 24"
3' = 3 * 12 = 36"
Total rise = 24" + 7" = 31"
Total run = 36" + 9" = 45"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(31² + 45²)
Hypotenus = 54.644304"
= 4' - 9.64"
Answer:
D. (x - 2)(x - 2)
Step-by-step explanation:
x2 - 4x + 4 = x² - 2x - 2x +4
= x(x-2) - 2(x - 2)
= (x-2)(x-2)
HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)
Answer:
Step-by-step explanation:
a + 143 = 180 {Linear pair}
a = 180 - 143
a = 37
37 + 93 + b = 180 {Angle sum property of triangle}
130 + b = 180
b = 180 - 130
b = 40
c + b = 90
c + 40 = 90
c = 90 - 40
c = 50
d + 120 = 180 {Linear pair}
d = 180 - 120
d = 60
? = 60 + 40 {Exterior angle property of triangle}
? = 100