Answer:
V = 678.24cubic cm
Step-by-step explanation:
Volume of a cylinder
V = πr^2h
V - volume of a cylinder
π - pie
r - radius of a cylinder
h - height of a cylinder
Given:
π - 3.14
h - 6
d = 12
d = 2r
Divide both sides by 2
d/2 = 2r/2
d/2 = r
r = d/2
r = 12/2
r = 6
Insert the values into the formula
V = πr^2h
V = 3.14 * 6^2 * 6
= 3.14 * 36 * 6
= 678.24cubic cm
Let
x-------------> length of the side of a square
[area of a square]=x*x------> x²
[area of rectangle]=[shorter side]*[<span>longer side]
</span>[shorter side]=0.90 x-------> (<span>is 10% percent less than the length of a side of square)
</span>[longer side]=1.10x-------> (<span>is 10% percent more than the length of a side of square
</span>
[area of rectangle]=(1.10x)*(0.90x)-----> 0.99x²
[the ratio of the area of rectangle to the area of square]=0.99x²/x²=0.99
the answer is
the ratio of the area of rectangle to the area of square is 0.99
Answer:
g(x) = x + 10
Step-by-step explanation:
adding a number after x shifts it up b units
subtracting shifts it down
Both 25x and 22x + 9 have the same answers. So you set those two equal to each other.
Subtract 22x from both sides.
and you're left with this.
Next, divide 3 from both sides.
re-insert 3 into one of the equations.
add up both angles
all angles (for quadrilaterals)added up equals 360.
solve for x. Subtract 150 from both sides.
and divide 2 from both sides
AngleLMN= 105
So,
Start with 7.
Multiply by 2.
7 * 2 = 14
Multiply by 2.
14 * 2 = 28
Multiply by 2.
28 * 2 = 56
Multiply by 2.
56 * 2 = 112
Multiply by 2.
112 * 2 = 224
Multiply by 2.
224 * 2 = 448
Multiply by 2.
448 * 2 = 896
Multiply by 2.
896 * 2 = 1792
Multiply by 2.
1792 * 2 = 3584
The first ten terms in the pattern are:
7, 14, 28, 56, 112, 224, 448, 896, 1792, 3584
In a function:
f(x) = 2x
In a rule:
S = {x| x/7 = Whole Number}
