The answer to the question is 585
Answer:
m = ± 5
Step-by-step explanation:
Given
4² + 2² - (- 3²) = m² - (- 1²) + (
)² ← evaluate exponents
noting that - 3² = - 9 and - 1² = - 1
16 + 4 - (- 9) = m² - (- 1) + 3, that is
20 + 9 = m² + 1 + 3
29 = m² + 4 ( subtract 4 from both sides )
25 = m² ( take the square root of both sides )
m = ± 5
We have the 2 equations
1- ) 5x-8y=6
2-) -6x-3y=18
multiplying the first equation by 3 and the second equation by 8 then subtracting
1-) 15x-24y=18
2-) -48x-24y=144
-48x-24y=144
(-) 15x-24y=18
-------------------------------------
-63x = 126
x=-2
substituting in equation 1
5(-2)-8y=6
-10-8y=6
-8y=16
y=-2
the soultion is (-2,-2)
D because the total was 40.25
9514 1404 393
Answer:
(d) 2/3(11)
Step-by-step explanation:
The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...
V = πr^2·h = πr^2·(2r) = 2πr^3
The volume of the sphere is given by the formula ...
V = (4/3)πr^3
So, the ratio of the sphere volume to the cylinder volume is ...
sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3
That is, the sphere volume is ...
sphere volume = (2/3) × (cylinder volume)
V = (2/3)(11)
