Answer:
9 hours
Step-by-step explanation:
Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked
8x + 8y = 120
y = 3 + x
Substitute the second equation into the first
8x + 8(3+x) = 120
Distribute
8x + 24 + 8x = 120
Combine like-terms
16x + 24 = 120
Subtract 24 on both sides
16x = 96
Divide 16 on both sides
x = 6 (hours Amber worked)
Plug in this x-value into on of the two equations. I will use the second
y = 3 + 6
y = 9
Answer:
x and y are 5.66 units
Step-by-step explanation:
The triangle above is a right angled triangle ; and can be solved using trigonometric relation :
Using :
Sin 45 = opposite / hypotenus
Opposite = y ; hypotenus = 8
Sin 45 = y/8
y = sin 45 * 8
y = 5.66 units
Side length x ;
Sin 45 = opposite / hypotenus
Sin 45 = x / 8
x = sin 45 * 8
x = 5.66 units
Answer:
4
Step-by-step explanation:
H (height the 2x4 contact the fence)
sin 30° = H / 8
1 /2 = H / 8
H = 1/2 * 8 = 4
Answer:diameter=9.92m
Step-by-step explanation:
Area=77.28
π=3.14
Area=π x (d/2)^2
77.28=3.14 x (d/2)^2
Divide both sides by 3.14
77.28/3.14=(3.14x(d/2)^2)/3.14
24.6=(d/2)^2
Take them square root of both sides we get
d/2=√(24.6)
d/2=4.96
d=4.96 x 2
d=9.92
