Answer:
Hi
Step-by-step explanation:
12 people ⇒8 cups
1 person ⇒ 8/12 = 2/3 cup
7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups
Answer: She should use 4 2/3 cups of sugar.
Answer:
16 cm^2
Step-by-step explanation:
Given
-- Bigger Triangle
-- Smaller Triangle
--- Scale factor
Area of CBD = 9
Required
Determine the area of CAE
The area of triangle CBD is:
The area of CAE is:
Where:
and
The above values is the dimension of the larger triangle (after dilation).
So, we have:
Re-order
Recall that:
Hence, the area is 16 cm^2
Answer:
7 ft 11 inches
Step-by-step explanation:
Convert 3 1/2 yards into 10 ft 5 inches.
Subtract 2 ft 6 inches from 10 ft 5 inches.
Step-by-step explanation:
The ladder forms a triangle with the wall and ground.
The side of the triangle opposite of the 60° angle is 4 feet.
To find the length of the ladder (the hypotenuse), use sine.
sine = opposite / hypotenuse
sin 60° = 4 / L
L = 4 / sin 60°
L = 4 / (√3 / 2)
L = 8 / √3
L = 8√3 / 3
L ≈ 4.619 feet
To find the distance from the wall, use tangent.
tangent = opposite / adjacent
tan 60° = 4 / x
x = 4 / tan 60°
x = 4 / √3
x = 4√3 / 3
x ≈ 2.309 feet
