Answer:
Step-by-step explanation:
According to the Alternate Interior angles theorem, the bottom left angle and the upper right angle have the same measure. Because they were formed from a pair of parallel lines crossed by a transversal one.
So, algebraically:
Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
<u>Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.</u>
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
<u>Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.</u>
I hope this helps :)
To solve this problem we will start by calculating time needed for each of them to fill the pool.
We have formula:
Volume = rate * time
Or
time = volume / rate
Wilma:
time = 9900 / 900
time = 11h
Betty:
time = 9900 / 500
time = 19.8h
Now we substract these two numbers:
time_difference = 19.8 - 11 = 8.8h
Betty needs 8.8 hours more than Wilma to fill the pool.
Answer:
It represents an infinite cylinder of radius 4.
Step-by-step explanation:
The first thing to notice is that
<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.
Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).
Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.
Step-by-step explanation:
Pyramid
1/2 * 12 * 15
6 * 15 = 90
90 * 4 = 360cm
Cube
12 * 12 = 144
144 * 4 = 576cm
576 + 360 =
936 cm² of paint
