ANSWER
EXPLANATION
The volume of a cylinder is given by the formula:
The given cylinder has diameter 6. This means that, the radius is
The is height is
We substitute the values into the formula to obtain;
The volume is
to the nearest hundredth
Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107
Answer:
![x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}](https://tex.z-dn.net/?f=x%5Cle%20%5C%3A-2%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-2%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-2%5D%5Cend%7Bbmatrix%7D)
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
Step-by-step explanation:
Given the inequality expression
x ≤ -2
The inequality symbol ' ≤ ' means 'less than or equal to'.
Thus,
x ≤ -2 means x is less than or equal to -2.
In other words,
Please check the attached number line graph.
The number line clearly indicates that the graph is heading towards negative infinity from -2.
Answer:
$70.88
Step-by-step explanation:
To find sales tax, multiply the price by the percentage as a decimal.
$67.50 67.50(0.05) = $3.38
Since sales tax is 5%, its decimal equivalent is 0.05 and for the price of $67.50 you pay $3.38.
The total amount paid is the price added to the sales tax.
$67.50 + 3.38 = $70.88
Repeat these steps for each price in the sales amount column.
