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serg [7]
3 years ago
12

PLS DO ALL thank you

Mathematics
1 answer:
Rasek [7]3 years ago
6 0
-2 > -4
1 > -3
5 > 0
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Anna needs 6 pints of milk to make yogurt. How many cups of milk does Anna need?
kupik [55]

Answer:

Anna needs 12 cups.

5 0
3 years ago
Find the standard equation of a sphere that has diameter with the end points given below. (3,-2,4) (7,12,4)
DiKsa [7]

Answer:

The standard equation of the sphere is (x-5)^{2} + (y-5)^{2} + (z-4)^{2}  = 53

Step-by-step explanation:

From the question, the end point are (3,-2,4) and (7,12,4)

Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.

The midpoint can be calculated thus

Midpoint = (\frac{x_{1} + x_{2}  }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2}  }{2})

Let the first endpoint be represented as (x_{1}, y_{1}, z_{1}) and the second endpoint be (x_{2}, y_{2}, z_{2}).

Hence,

Midpoint = (\frac{x_{1} + x_{2}  }{2}, \frac{y_{1} + y_{2} }{2}, \frac{z_{1} + z_{2}  }{2})

Midpoint = (\frac{3 + 7  }{2}, \frac{-2+12 }{2}, \frac{4 + 4  }{2})

Midpoint = (\frac{10 }{2}, \frac{10}{2}, \frac{8  }{2})\\

Midpoint = (5, 5, 4)

This is the center of the sphere.

Now, we will determine the distance (diameter) of the sphere

The distance is given by

d = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} + (z_{2}- z_{1})^{2}      }

d = \sqrt{(7 - 3)^{2} +(12 - -2)^{2} + (4- 4)^{2}

d = \sqrt{(4)^{2} +(14)^{2} + (0)^{2}

d = \sqrt{16 +196 + 0

d =\sqrt{212}

d = 2\sqrt{53}

This is the diameter

To find the radius, r

From Radius = \frac{Diameter}{2}

Radius = \frac{2\sqrt{53} }{2}

∴ Radius = \sqrt{53}

r = \sqrt{53}

Now, we can write the standard equation of the sphere since we know the center and the radius

Center of the sphere is (5, 5, 4)

Radius of the sphere is \sqrt{53}

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

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

Hence, the equation of the sphere of radius \sqrt{53} and center (5, 5, 4) is

(x-5)^{2} + (y-5)^{2} + (z-4)^{2}  = \sqrt{(53} )^{2}

(x-5)^{2} + (y-5)^{2} + (z-4)^{2}  = 53

This is the standard equation of the sphere

6 0
3 years ago
HELP ASAP
beks73 [17]
D=dollars earned
T=time spent painting the fence.

(1,5) (2,10) (3,15)

D=5T
3 0
3 years ago
Read 2 more answers
Convert 11.75 millimeters to meters
blsea [12.9K]

Hello!

1,000 millimeters make a meter. To convert millimeters to meters, we just divide by 1,000, or move the decimal to the right 3 places.

11.75/1000=0.01175

Therefore, our answer is 0.01175 meters.

I hope this helps!


3 0
3 years ago
Read 2 more answers
I need y’all please help me 5
MArishka [77]

Answer:

no she couldnt have because 10 the fee and 2 the charge added up equals 12. 12 times 3 is 36, and she paid less than 36 dollars

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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