Answer:
21
Step-by-step explanation:
210/10=21
When he divided the gallon of paint into three containers, he put 1/3 a gallon of paint into each container.
9514 1404 393
Answer:
x = 28
Step-by-step explanation:
The marked angles are supplementary, so you have ...
(3x +10) +(3x +2) = 180
6x +12 = 180 . . . . . . . . . . simplify
x +2 = 30 . . . . . . . . divide by 6
x = 28 . . . . . . . subtract 2
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<em>Additional comment</em>
You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.
The obtuse angle (on the left) is 94°; the acute angle is 86°.
Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Answer:
AB = 4
Step-by-step explanation:
Calculate AB using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(0, 10)
AB = 
= 
= 
= 
= 4 ← exact length
