Answer:
10 m/s
Step-by-step explanation:
Velocity= Position/Time
You can take any point on the line to calculate velocity.
Lets take t=1s
At t=1, position=10m
velocity= 10m/1s
=10 m/s
You can take any other point too, velocity will remain same.
For eg.
At t=5s
position=50m
velocity=50/5
=10m/s
Hope it helps :-)
If ABC and DEF are complementary, then the value of x will be,
90 - ABC = x
90 - 53 = x
x = 37°
Answer:
The actual height is 150ft
Step-by-step explanation:
Given


Required
Determine the actual height
Substitute 60ft for width in: 

Express as fraction


Make height the subject



Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
The answer is 10 because all the angles are equal making it a equilateral triangle.
Therefore, the sides are all equal to one another, 3x - 8 = 5x - 20.
You just solve for x and get 6. You then plug in 6 for x and evauluate the equation, getting 10.