Answer:
90 degrees
Step-by-step explanation:
Angle BGD is supplementary with angle DGE.
BGD + DGE = 180
Since angle DGE is a right angle, then Angle BGD must also be a right angle:
BGD + 90 = 180
BGD = 90
Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
Answer:
Subtract 9 from each side of the equation.
m = – 11
Step-by-step explanation:
m + 9 = – 2
To solve the above equation, we simply subtract 9 from each side of the equation.
This is illustrated below:
m + 9 = – 2
Subtract 9 from each side of the equation
m + 9 – 9 = – 2 – 9
m + 0 = – 11
m = – 11
Therefore, the value of m is – 11
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Answer:
405 calories.
Step-by-step explanation:
To solve, we can create a proportion.
We are given that 4 nuggets is equivalent to 180 calories, therefore:
Cross multiply:
9 · 180 = 4 · x
1620 = 4x
Divide both sides by 4:
x = 405 calories.