This looks super complicated, but it can actually be solved with the application of a couple of area equations.
Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be 
times the length of the base times height.
Alright, with that established, let's start trying to solve for the area.
In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.
The overall equation would be:
- 
This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.
Now, let's begin solving for said shaded area:
-
( * base * height) - (π*
)
<u>The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:</u>
( * 40 * 27) - (π * 
)
(540) - (π * 
)
540 - 36π
<u>Use 3.14 as the value for pi:</u>
540 - 36(3.14)
426.96
<u>Round to the nearest tenth:</u>
427.0
Shaded area = 427 (
)
If you have any questions on how I got to the answer, don't be afraid to ask!
- breezyツ
The first one should be read as between 75 and 97 inclusive. That means you are using ≤
75 ≤ x ≤ 97 As a compound inequality this is
75 ≤ x ; x ≤ 97
The second one is just a bit harder. That's because a place in Ohio probably could go down to - 36. Again, both ends of the inequality use ≤
-36 ≤ x ≤ 20 As a compound inequality
-36 ≤ x; x ≤ 20
I'm not sure if you should be including units like 20°F. If you are, add them in.
Answer:
The answer is below
Step-by-step explanation:
1. COST Mr. Rivera wants to purchase a riding lawn mower, which is on sale for 15% off the marked price. The store charges sales tax 6.5% on all sales. Write a function p(x) that represents the price after a 15% discount. Write a function t(x) that represents the total cost with sales tax. Write a composition of functions that represents the total cost of a riding lawn mower on sale. How much will Mr. Rivera pay for a riding lawn mower that has a marked price of $3000?
Solution:
a) Let x represent the marked price and p(x) represent the price after discount. Since a discount of 15% is given, the price would be:
p(x) = 
b) If x = discounted price and t(x) = total cost with sales tax, then:
t(x) = 
c) Let t(x) represents the total cost with sales tax
![t[p(x)] =p(x)+6.5\%\ of\ p(x) \\\\t[p(x)] = 0.85x+(0.065*0.85x)\\\\t[p(x)] =0.90525x\\\\for\ x=\$3000:\\\\t[p(3000)] = 0.90525*3000=\$2715.75](https://tex.z-dn.net/?f=t%5Bp%28x%29%5D%20%3Dp%28x%29%2B6.5%5C%25%5C%20of%5C%20p%28x%29%20%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D%200.85x%2B%280.065%2A0.85x%29%5C%5C%5C%5Ct%5Bp%28x%29%5D%20%3D0.90525x%5C%5C%5C%5Cfor%5C%20x%3D%5C%243000%3A%5C%5C%5C%5Ct%5Bp%283000%29%5D%20%3D%200.90525%2A3000%3D%5C%242715.75)
The answer is
4 4/5
the way I did this was by 24 divided by 5= 4.8 as a fraction this is 4 8/10 simply reduce this by dividing the 8/10 by 2 and you will get that 4 4/5
