4% outta 1425 is 57| The amount is 57.
Answer:
y = 84
Step-by-step explanation:
1) add 3 to both sides of your equation to cancel out the -3
end up with: (1/3)y + 14 = (1/2)y
2) multiply both sides of your equation by 2 to cancel out the (1/2)
end up with: (2/3)y + 28 = y
3) subtract (2/3)y from both sides of the equation to cancel out the positive (2/3)y
end up with: 28 = (1/3)y
4) multiply both sides of the equation by 3 to cancel out the (1/3)
end up with: 84 = y
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
The initial value is 29.5
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept ( also called initial value)
we have the points
(3,42.25) and (5,50.75)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute the values
substitute in the equation
<em>Find the value of b</em>
with the point (3,42.25) ( or the other given point)
substitute the value of x and the value of y in the equation and solve for b
substitute
The linear equation is
The initial value is the y-intercept (value of y when the value of x is equal to zero)
For x=0
Therefore
The initial value is 29.5
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
The volume of a cone is given by
where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:
And
(2)
We also know that cone A has radius 6 units:
and height 4 units:
For cone B, from eq.(2), we get
One possible solution for this equation is
In fact in this case, we get:
Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.