Answer:
The correct option is;
D) 62 in²
Step-by-step explanation:
Here we have from the drawing, the dimensions of the right rectangular prism are;
Height = 2 in.
Width = 5 in
Length = 3 in
Therefore the surface area is found as follows;
Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2 × Width × Length
Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2 × 5× 3 = 20 + 12 + 30 = 62 in².
What is the shape for your problem?
<h3>
Answer: B) 1 & 3</h3>
Explanation:
Vertical angles form when we have an X shape like this. They are opposite one another and always congruent. Angles 2 and 4 is the other set of vertical angles.
Answer:
Step-by-step explanation:
a) together, they all drink about 2,090 glasses of water in one day. (418 * 5 = 2,090).
b) 2,090 * 7 (7 days in 1 week) = They drink about 14,630 glasses of water in one week.
c) 14,630 * 4 (4 weeks in 1 month) = About 58,520 glasses of water in one month.
d) 1,000,000/58,520 ≈ 17. It would take all of the students about 17 months to drink 1,000,000 glasses of water.
Hope that helps!
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
_____
The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
