Answer:
y=26, x=-3
Step-by-step explanation:
3x+y=17
3x+y-y=17-y
3x=17-y
Divide both sides by 3
Simplify
\frac{17-y}{3}+2y=49
\frac{17-y}{3}\cdot \:3+2y\cdot \:3=49\cdot \:3
17-y+6y=147
17+5y=147
17+5y-17=147-17
5y=130
\frac{5y}{5}=\frac{130}{5}
y=26
x=\frac{17-26}{3}
x=-3
Answer:
24.997 = 25.00 (rounded off to 2 decimal figures)
Step-by-step explanation:
By observation, we can see that both straight lines are of equal length and that the angle between the lines is 90°. Hence we can conclude that this is a quadrant of a circle with radius, r = 7 cm.
length of the curved section
= 1/4 x circumference of the circle
= 1/4 x 2πr
= 1/4 x 2 x 3.142 x 7
= 10.997 cm²
HEnce circumference = 10.997 + 7 + 7 = 24.997 = 25.00 (rounded off to 2 decimal figures)
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
Answer:
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Answer:
A, D and F
Step-by-step explanation:
They are at the greatest heights and gravitational potential energy increases with height
Good luck!!
