4m+2m=7-10+15
6m=12
m=12:6
m=2
Answer: 80 cubic meters (choice B)
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Explanation:
The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.
Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.
We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume
volume = (1/3)*(area of floor)*(height of pyramid)
volume = (1/3)*(30)*(8)
volume = 10*8
volume = 80 cubic meters
Answer:
50% of the given time period. (number of weeks x 0.50)
Step-by-step explanation:
I didn't see the listed time period, so how ever many weeks they wagered, Multiply that by 0.50, since Shari hits the board 50% of the time.
Without a given time period, there is no way for me to choose form the given answers. I need to know the duration of the bet.
If it were 80 weeks, Shari's mom would give her $40 for 40 weeks.
If it were 120 weeks, Shari's mom would give Shari $40 for 60 weeks.
You see the pattern? :)
I thinks it’s between A and B
2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ <u>2x + 16y = 8
</u> -<u>11y</u> = <u>-11 </u>
-11 -11
y = 1
2x + 5(1) = -3
2x + 5 = -3
<u> -5 -5</u>
<u>2x</u> = <u>-8</u>
2 2
x = -4
(x, y) = (-4, 1)
2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ <u>2x - 4y = -28</u>
<u>5y</u> = <u>35</u>
5 5
y = 7
2x + 7 = 7
<u> -7 -7</u>
<u>2x</u> = <u>0</u>
2 2
x = 0
(x, y) = (0, 7)