Answer:
$104.64
Step-by-step explanation:
Because coupons come before tax, we have to take <em>away</em> 20%, then <em>add</em> 9%
Step 1 : Find 20%
In order to find the percent of anything, all you have to do is multiply the percent (as a decimal) by your price
In this case, it's : 120 × 0.20
Using this expression, we find that 20% of $120 = $24
Step 2 : take <em>away </em>20%
Coupons take away money from a full price, so we will take away $24 from $120, leaving us with $96
Step 3 : Find 9%
Now we multiply 0.09 (9%) by our <em>new</em> price (96)
96 × 0.09 = $8.64
Step 4 : Add 9%
Lastly, we use our coupon-added price (96) and add our tax (8.64)
96 + 8.64 = $104.64
The perpendicular bisector would be the line that connects with the line HI at a 90 degree angle and in the mid-point. This means that we would have to find the slope of the line HI and take the opposite. The slope of HI is 1/3. This means that the slope of the perpendicular line is -3. Now we must solve for the line that crosses through the midpoint. y=mx+b we know that m=-3 and that the midpoint is at -1,3 so x=-1 and y=3. 3=(-3)-1+b. We then solve for b and find it to be 0. So the final answer is y= -3x
Answer:
216 cm^3
Step-by-step explanation:
I am assuming this is a right triangular prism
V = area of the base * height
We need to find the area of the triangular base
A triangle = 1/2 b*h
= 1/2 (12)4
= 24
Substituting this into the volume equation
V = 24 * 9
216 cm^3
V=4πr^3V=4π(11)^3<span>
V=5575.28
22 is the diameter and the radius is half of the diameter </span>
