Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
Answer:
x = 3/2 | y = -3
Step-by-step explanation:
Given equations:
- y = 2x - 6. . . .(i)
- y = -4x + 3. . . . (ii)
Substituting from equation (i) for y:
==> 2x - 6 = -4x + 3
==> 2x + 4x = 6 + 3
==> 6x = 9
<em>dividing both </em><em>sides by 3</em><em>:</em>
==> 2x = 3
==> x = 3/2
Substituting 3/2 for x in equation (i):
==> y = 2(3/2) - 6
==> y = 3 - 6
==> y = -3
23 If not im so so sorry Have a nice day Good luck!!!
Answer:
$ 1.2 and $ 0.7
Step-by-step explanation:
In this case we can solve it by means of a 2x2 system of equations, like this:
Let x is the value of clif bars
let y is the value of an apple
Thus:
4 * x + 2 * y = 6.2
5 * x + 3 * y = 8.1 => x = (8.1 - 3 * y) / 5
replacing, we are left with:
4 * ((8.1 - 3 * y) / 5) + 2 * y = 6.2
6.48 - 2.4 * y + 2 * y = 6.2
2.4 * y - 2 * y = 6.48 - 6.2
0.4 * y = 0.28
y = 0.28 / 0.4
y = 0.7
Now to calculate x:
x = (8.1 - 3 * 0.7) / 5
x = 1.2
So the value of clif bars is $ 1.2 and the value of an apple is $ 0.7
Answer:
J 28
Step-by-step explanation:
3x-10 = plug in x for angle C
84-10 = subtract for angle C
74 = C
3x/3 - B/2
For last Angle B always look for 180
74 + 50 = 124
180 - 124 = 56
(2x) = plug in x for angle B
56 = B
x = B/2
x = 3x/3 -B/2
x = 28
Hope this helps