We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.
The formula for the volume of a cone is V=(1/3)πr^2h.
To find r (radius) divide the diameter by 2, giving you 2.5 cm.
Plug in the numbers now !
V=(1/3)(3.14)(2.5^2)(9)
V=(1/3)(3.14)(6.25)(9)
V=(1/3)(176.625)
V=58.875
Therefore, the volume of the cone is about 59cm^3 :)
Answer:
the answer is 15x^8 y^3
Step-by-step explanation:
the area of a rectangle is length times width right? this means you have to multiply the values that represent the length and width. in this case those values would be 5x^6 y^2 and 3x^2 y
step 1. set up your problem
it should look like this:
(5x^6 y^2)(3x^2 y)
step 2. multiply the values with corresponding variables
first, x values
(5x^6)(3x^2)
5×3=15 and x^6 × x^2=x^8 when multiplying exponents you add the powers the numbers are raised to. in this case 6+2=8
you should end up with 15x^8
next, y values
y^2 + y
remember what i said about multiplying exponents? you just add the power the variables are raised to. in this case, 2 and 1. when their is no exponent we just add a 1. so, 2+1=3
you end up with y^3
lastly, combine
15x^8 + y^3 = 15x^8y^3
Answer:
Brianna and Kayla will make the same amount of money after working for 5 hours. Both will make $25.00 by this time.
Answer:
11232 in³
Step-by-step explanation:
24*18*26