Answer: 12
Step-by-step explanation: V of prism = S of triangle*Height of prism
height of prism is 30
S of triangle = a/2*<em>h</em>( a =18 cm)
3240=30*(18/2)*<em>h</em>
<em>h</em>=3240/(9*30)=12
X= square root 10 over 2 minus 3 and negative square root of 10 over 2 minus 3
Y = 6x
4x + y = 7
(substitute y = 6x in the ‘y’ spot in 4x + y = 7)
4x + 6x = 7
10x = 7
/10 on both sides
x = 7/10
(substitute x = 7/10 in the ‘x’ spot in either of the two equations)
y = 6x
y = 6(7/10)
y = 4.2 = 21/5
Answer:
x = 7/10
y = 21/5
Step-by-step explanation:
It is given that,
The height of the sail on a boat is 7 feet less than 3 times the length of its base.
Let the length of the base is x.
ATQ,
Height = (3x-7)
Area of the sail is 68 square feet.
Formula for area is given by :

x = 8 feet and x = -3.73 feet
So, length is 8 feet
Height is 3(8)-7 = 17 feet.
So, its height and the length of the base is 17 feet and 8 feet respectively.
Answer:
f(x) = 1/(x+2) + 7
Step-by-step explanation:
The graph depicts the line of 1/x shifted to the left by 2 and up by 7.