To find the volume of a triangular pyramid, the formula is:
So we start by finding the area of the base, which is in the shape of a right triangle in this case.
The area of a right triangle is equal to 1/2 x base x height.
We use this area to find the volume.
The volume of the triangular pyramid is 30 cubic feet.
The answer is D). It increases by 13.
If you put the numbers in order from least to greatest.. 26,34,38,49,65,75,81
You will see the 26 is the smallest number and 81 in the highest number. The range between the two numbers is 55. To find the range you take the smallest number and subtract it from the biggest number. But when you add the number 13 to the problem then26 is no longer the smallest Number because 13 replaced it. So then you take 81 and subtract 13 from it and get 68. And then you take 55 and subtract it from 68 and come with 13. Which makes the answer D.
Answer:
z = 113
y = 31
Step-by-step explanation:
j || n and line a is their transversal. (given)
Therefore,
z° = 180° - 67° (exterior angles on the same side of transversal)
z°= 113°
z = 113
(5y - 88)° = 67° (exterior alternate angles)
5y - 88 = 67
5y = 67 + 88
5y = 155
y = 155/5
y = 31
Answer:
there is a 12.5% increase
-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)
(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)
Required equivalent system of equations is
-9x + 5y = 16
-16y = 64
