Answer:
<h2>r ≤ 0</h2>
Step-by-step explanation:
13 - r ≥ 13 <em>subtract 13 from both sides</em>
13 - 13 - r ≥ 13 - 13
-r ≥ 0 <em>change the signs</em>
r ≤ 0
After the last step, you have to plug x into the equations. 5(5)+8=33 and 8(5)-1=39. You do this because it asks you to find the measurements of the angles, meaning the whole thing, not just x. To check, you add the two values of EFG and EFH, and they should equal EFG. 33+39=72, so it all checks out!
Answer: option d.
Step-by-step explanation:
We have the function:
y = f(x) = x^2 - 1
The output is 99 when y = 99, and the input is x.
Then we need to solve:
y = 99 = x^2 - 1
for x.
99 = x^2 - 1
99 + 1 =x^2
100 = x^2
√100 = x
10 = x
The correct option is d, input equals 10.
Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.
With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft.
The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft. There are two of these sides, for a total of 2*60 = 120 sq. ft.
The gables are triangles, which have an area formula of
A = 1/2bh
For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft. Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.
The closed side under a gable has an area of 6*7.5 = 45 sq. ft.
The two roof panels have an area of (4 1/12)(2 1/2) each:
49/12(5/2) = 245/24
There are two of them, which makes 490/24 = 20.42 sq. ft.
Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.
With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.
Hi! I'm happy to help!
To solve for this, we need to understand what a ratio is. A ratio is a comparison between two things. (in numbers) In this case, between pools and hours:
pools:hours
A fraction is also a ratio, in this case we have 2/5, which also compares pools to hours, so we can turn this into a more proper ratio form:
2 pools: 5 hours
2:5
<u>So, our ratio of pools to hours is 2:5.</u>
I hope this was helpful, keep learning! :D
