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geniusboy [140]
3 years ago
9

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = −1.

If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.
A: 6
B: 7
C: 8
Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0
C:8 is the answer my guy welcome
marshall27 [118]3 years ago
4 0

Answer:

A.  6

Step-by-step explanation:

Segment AB is on the line y = 2 and is 3 units long.

Point C is on the line x = −1.

FIND:

If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.

SOLUTION:

Area of a triangle = 1/2 b * h

segment AB is a horizontal line

the base of our triangle and point C is somewhere on the height.

If we can find the height of the triangle, we can add or subtract that height from y = 2 to get the possible y coordinate of point C.

We know that the x coordinate is -1 so,

6 = 1/2 (3) h

12 = 3h

h = 4

we can either add 4 or subtract 4 to the y coordinate of 2 to get the possible y coordinate of point C.

option 1

2 + 4 = 6 so the coordinate for C could be (-1, 6) or

option 2

2 - 4 = -2 so the coordinate for C could also be (-1, -2).

Since -2 is not in our choices but 6.

therefore,

the answer would be A. 6

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Sedbober [7]

The volume of the right circular cylinder is 31064.54 cm³.

What is the formula for the volume of cylinder?

Formula:

V = πr²h.............. Equation 1

Since,

V = Volume of the right circular cylinder

r = radius of the base of the cylinder

h = height of the cylinder.

We have given that,

r = 46.25/2 = 23.125 cm

h = 18.5 cm

π = 3.14

We have to calculate volume of right circular cylinder.

Therefore,

Substitute these values into equation 1

V = 3.14(23.125²)(18.5)

V = 31064.54 cm³

Therefore

The volume of the right circular cylinder is 31064.54 cm³.

Learn more about the volume of a cylinder here:

brainly.com/question/1082469

3 0
3 years ago
Parker is laying pavers to build a patio in his backyard. Each square paver measures 2 feet on each side. He would like the pati
MatroZZZ [7]

Answer:

32 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

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we have

s=2\ ft

substitute

A=2^{2}\\A=4\ ft^{2}

step 2

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we know that

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we have

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substitute

A=(16)(8)\\A=128\ ft^2

step 3

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Divide the area of the rectangular patio by the area of one paver

128\ ft^2/4\ ft^{2}=32\ pavers

5 0
3 years ago
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

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Given : Number of available vegetables = 6

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5 0
3 years ago
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Ksivusya [100]

Answer:

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Step-by-step explanation:

1 tbs : 3 tsp

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multiply the whole number part by the denominator (under part) of the fraction part and add this to the numerator (upper part);

Then simply apply the ratio.

8 0
3 years ago
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expeople1 [14]

Answer:

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hope this helps

8 0
3 years ago
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