Answer:
7x-4y=-8.........(i)
y=3/4x-3........(ii)
Putting the value of y in eqn(i)
7x-4y=-8
or, 7x-4(3/4x-3)=-8
or, 7x-3x+12=-8
or, 4x=-8-12
or, x=-20/4
x=-5
again,
putting the value of x in eqn(ii)
y=3/4x-3
y=-5(3/4) -3
y=-15/4 -3
y=-3/4
x=-5
y=-3/4
Answer:
h = A/b
Step-by-step explanation:
We are given the Area of a parallelogram =
A = bh
Where
b = base
h = Height
Making h the subject of the rule or formula
=
A = bh
Divide both sides by b
A/b = bh/b
h = A/b
Height = Area/Base
15% as a decimal is 0.15
Multiply the amount of the bill by the percentage:
54.83 x 0.15 = 8.22
The tip was $8.22
The probability of an event not being sold out is 2/7, .29, or 29%. To find this, we can simply look and see that only 2 of the events out of the 7 listed are marked "Not Sold Out."
Answer:
The exact volume of an oblique cylinder is ![V=2,000\pi\ cm^{3}](https://tex.z-dn.net/?f=V%3D2%2C000%5Cpi%5C%20cm%5E%7B3%7D)
Step-by-step explanation:
we know that
<u>The Cavalieri's principle</u> states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume
so
The volume of the oblique cylinder is equal to
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
we have
![h=20\ cm](https://tex.z-dn.net/?f=h%3D20%5C%20cm)
![r=10\ cm](https://tex.z-dn.net/?f=r%3D10%5C%20cm)
substitute
![V=\pi (10)^{2} (20)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%2810%29%5E%7B2%7D%20%2820%29)
![V=2,000\pi\ cm^{3}](https://tex.z-dn.net/?f=V%3D2%2C000%5Cpi%5C%20cm%5E%7B3%7D)