Answer:
$80.12; approx. $80
Step-by-step explanation:
- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64
- the tax is 11.64
- add 68.48 + 11.64
- her total is $80.12
- rounded it would be $80
Hope this helped!
27x² and 81x⁵
81 = 27*3
x⁵ = x²x³
81x⁵ = 27*3*x²x³= (27x²)*3x³
We can see that 81x⁵=(27x²)*3x³ includes as a factor 27x²,
so GCF is 27x².
To find the length of one side calculate the square root of 20
Answer:
slope = 11/2
Step-by-step explanation:
If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.
Point 1: (-4, 7) Point 2: (-6, -4)
x₁ = -4 x₂ = -6
y₁ = 7 y₂ = -4
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
7 - (-4) = m(-4 - (-6)) <----- Insert values
11 = m(2) <----- Simplify
11/2 = m <----- Divide both sides by 2
The radius of the water bottle to the nearest hundredth is 2.01 cm
<h3>How to calculate the volume of a cylinder</h3>
A cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
Learn more on volume of cylinder here: brainly.com/question/9554871