Answer:
hi again
Step-by-step explanation:
V=7.3×8.5×4.2=260.61 cm
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Subtract 8d from both sides
21 = 12d + 5 - 8d
Simplify 12d + 5 - 8d to 4d + 5
21 = 4d + 5
Subtract 5 from both sides
21 - 5 = 4d
Simplify 21 - 5 to 16
16 = 4d
Divide both side by 4
16/4 = d
Simplify 16/4 to 4
4 = d
Switch sides
d = 4
<u>Check answer</u>
8d + 21 =12d + 5
Let d = 4
8 × 4 + 21 = 12 × 4 + 5
Simplify 8 × 4 to 32
32 + 21 = 12 × 4 + 5
Simplify 12 × 4 to 48
32 + 21 = 48 + 5
Simplify 32 + 21 to 53
53 = 48 + 5
Simplify 48 + 5 to 53
53 = 53
Answer:
<h2>
x = 67°</h2>
Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
Step-by-step explanation:
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Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6