Convert to a percent 8 15

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

Answer: %53.333333333333 or 53 1/3

Step-by-step explanation:

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Use the given information to answer the following questions. center (3, -9, 3), radius 5 (a) Find an equation of the sphere with

lianna [129]

Answer: The equation of the sphere with the center and radius

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

Step-by-step explanation:

a) The equation of the sphere having center (h,k,l) and radius r is

$(x-h)^{2} +(y-k)^2+(z-l)^2 = r^2$

Given center of the sphere (3, -9, 3) and radius 5

$(x-3)^{2}+(y+9)^2+(z-3)^2 = 5^2$

on simplification , we get solution

$x^{2} -6 x+9+y^{2} +18 y+81+z^{2}-6 z+9=25$

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

Final answer :-

$x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0$

b) The intersection of this sphere with the y z-plane the x- co-ordinate

is zero(i.e., x = 0 )

$y^{2} +z^{2}+18 y-6 z+74=0$

7 0

3 years ago

Part A

N76 [4]

Step-by-step explanation:

Part A: We can write 40 + x + 25 = 180 because these angles are supplementary, meaning they add up to 180 degrees, and when we solve for x, we get x = 115°.

Part B: We can write y = x + 25 because these two angles are vertical angles, meaning they are equal and formed from the same lines. We know that x = 115°, so when we plug that in we get y = 140°.

Part C: z = 40° because these two angles are vertical angles. I hope this helps!

5 0

3 years ago

Just before her party starts, Jane fills a cooler with 80 cups of ice. She also starts filling glasses with ice, 0.8 cups each.

Fofino [41]

The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is $y = 0.8x + 80$