For
(x-h)^2+(y-k)^2=r^2
center is (h,k) and radius is r
we have
(x-0)^2+(y-4)^2=4^2
that's a circle
it is centered at (0,4)
radius is 4
around the y axis
means we get a sphere
radius is 4
V=(4/3)pir^3
V=(4/3)pi4^3
V=(4/3)pi64
V=(256/3)pi units³ or aprox 268.08257 units³
see attachment
Answer:
12x² + 2x - 2
= 12x² - 6x + 4x - 2
= 6x( 2x - 1 ) + 2 ( 2x - 1 )
= ( 6x + 2 ) ( 2x - 1 )
Step-by-step explanation:
hope it helps you
The number of $1, $5 and $10 are 49, 44 and 22 respectively.
<h3>How to use equation to find the number of bills?</h3>
There are 3 denominations of bills in a wallet: $1, $5, and $10.
There are 5 fewer $5-bills than $1-bills.
let
x = number of $1 bills
Hence,
number of $5 bills = x - 5
There are half as many $10-bills as $5-bills.
number of $10 bills = 1 / 2 (x - 5)
Therefore,
x + x - 5 + 1 / 2 (x - 5) = 115
2x - 5 + 1 / 2 x - 5 / 2 = 115
2x + 1 / 2 x - 5 - 5 / 2 = 115
5 / 2 x - 7.5 = 115
2.5x = 115 + 7.5
x = 122.5 / 2.5
x = 49
Number of $1 bills = 49
Number of $5 bills = 49 - 5 = 44
Number of $10 bills = 1 / 2 (49 - 5) = 22
learn more on equation here:brainly.com/question/13992796
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Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135
5·x + 20 = 135
5·x = 115
x = 23
So the sequence is
23, 25, 27, 29, 31
The second number is 25.
Do you agree?
<span>Angle T = Angle C, let them equal x
So x + x + 140 = 180
2x = 40
x = 20
So Angle T = 20 degrees </span>