Answer:
A
Step-by-step explanation:
Answer:
This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.
The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm
The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm
*Radius is 4
Now add: 768 + 134.04 = 902.04 cm
This question tells that the sky ride is a rectangle.
This means the perimeter or the total distance round the figure = 2L + 2B
= 2(4)+ 2(10)
=8+20
=28 feet
Anna rose 7 times
Distance rode= 7(28)
=196 feet
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
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