52 ft is less than 912.
There is 12 inches in a foot, so I did 52 x 12 = 624. 624 is less than 912.
Answer:
Step-by-step explanation:
<u>Ratio of corresponding sides of similar triangles are:</u>
<u>Substitute values</u>
- (9+3)/3 = 12/x
- 4 = 12/x
- x = 12/4
- x = 3
Answer:
Step-by-step explanation:
Let the given parabolic mirror opens upwards and vertex=(0,0)
Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror. ∴ p=2
Since, the parabola opens upward, then the equation of the parabola is of the form
Substitute the value of p=2 in this, we get the equation of the parabolic mirror
Hence, the equation of the parabola that models the cross section of the mirror is
Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
. So
He needs to deposit N76800 now.
Answer:
x=2 and y=36
Step-by-step explanation:
you have two equations
1) xy=72 and 2) (x+2)(y-4)=128
solve for one of the variables in equation 2), lets do y
(x+2)(y-4)=128, divide by (x+2) to both sides and add 4 to isolate variable y
therefore, y=(128/(x+2))+4
then plug in y into equation 1)
so x(our new y)=72
x( 128/(x+2) +4 )=72
distribute the x so you will get
(128/(x+2))x +4x=72
we are now solving for x, so isolate the x by subtracting 4x and multiplying by (x+2) to get
128x=(x+2)(72-4x)
multiply by distribution and combine like terms
-4x^2 -64x +144 =0
solve for x by quadratic formula, you'll get x=2 or x=-18
substitute back into equation 1), (2)(y)=72, solve for y to get 36
then you can check by substituting back into equation 2)
(2+2)(36-4)=128
(4)(32)=128, 128=128