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Hunter-Best [27]
3 years ago
5

Item 15 Fill in the blank so that the ordered pair is a solution of y=12x+2. ( , 14)

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

(1, 14)

Step-by-step explanation:

If you substitute the 14 in;

14 = 12x+2

-2          -2

12 = 12x

/12     /12

1 = x

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

V = \frac{4}{3}\pi r^3

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
PLS HELP TAKIN A FINAL WILL MARK BRAINLIST 75 PTS
Gwar [14]

Answer:

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Step-by-step explanation:

Anything to the power 0 is 1

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2 years ago
Writing lan's car can go 180 miles on 5 gallons of gas. During a drive last weekend, lan used
MrRissso [65]

Answer:

288 miles

If we have the distance, we divide by 36 instead to find how many gallons of gas he used.

Step-by-step explanation:

180/5=36 miles per gallon

8 gallonsx36 miles per gallon=288 miles

pls mark brainliest

6 0
3 years ago
-2x-4+5x=8 please help, I'm too stupid to do this.
nydimaria [60]

Answer: x=1 1/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can you answer this?
nignag [31]
The answer is the graph b.
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3 years ago
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