Answer:
565cm³
Step-by-step explanation:
If Kelly eats the salsa until it is 6cm high, then she ate, in height, 11cm-6cm=5cm of salsa. The volume of the salsa she ate is in the shape of a cylinder, and the formula for calculating the volume of a cylinder is πr^2h. Since we have the values for r (radius) and h (height), we can solve for the volume.
V=πr^2h
V=π(6cm)^2(5cm)
V=180πcm³
This is equal to about 565cm³.
Area of a triangle=bh/2
27= x(x-3)/2
27= (x^2-3x)/2
54= x^2-3x
x^2-3x-54=0
(x-9)(x+6)=0
x=9, x=-6.
In this case, x must equal 9 since the base cannot be a negative number.
Final answer: Height=6 m
3(7v-5)-v(10v-9) = 21v - 15 -10v² + 9v = - 10v² + 30v - 15
First let's get rid of the parenthesis:
12 - 4x + 3x = 4 + 10 + 2x
Now group the x's on the left and the numbers on the right
-4x + 3x - 2x = 4 + 10 - 12
...and simplify
-3x = 2
divide by -3 to isolate x
x = -2/3
