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guajiro [1.7K]
3 years ago
15

Need help with a math question

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

the coordinates of C' = (2,1)

Step-by-step explanation:

The coordinates of point C can be found by looking at the graph.

Coordinates of C are C= (6,3)

If ABCD is dilated by a factor of 1/3 then the coordinates of C' can be found by multiplying the coordinates of C by 1/3

C = (6,3)

C' =(1/3*6,1/3*3)

C' = (2,1)

So, the coordinates of C' = (2,1)

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What is the area of triangle with base 5m and height 12m
Ksivusya [100]
The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.

If we plug in the given values into this formula, we get:

(1/2)(5m)(12m)

When we simplify this expression, we get:

30 m^2

Therefore, your answer is 30 m^2.

Hope this helps!

5 0
3 years ago
A company rents out 11 food booths and 24 game booths at the county fair. The fee for a food booth is $175 plus $5 per day. The
AURORKA [14]
11(175+5d) + 24(50+7d)
3 0
3 years ago
Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

4 0
3 years ago
What is the product?<br> (6r-1)(- Br-3)
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Answer:

-6Br^2-18r+Br+3

Step-by-step explanation:

we have the expression:

(6r-1)(- Br-3)

We need to multiply the two terms in the first parenthesis by the two terms in the second parenthesis:

(6r)(-Br)+(6r)(-3)+(-1)(-Br)+(-1)(-3)

we solve each term taking into account the law of signs

(-)(-)=+

and

(+)(-)=-

also for the first term we use that r*r=r^2

thus we have:

-6Br^2-18r+Br+3

it can be simplified a little more if we factor an r of the second and third term:

-6Br^2+r(-18+B)+3

4 0
3 years ago
Gretchen computed the geometric mean of two numbers. One of the
alina1380 [7]

9514 1404 393

Answer:

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Step-by-step explanation:

When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:

arithmetic, geometric, harmonic.

The other number would be 7.

__

The geometric mean (m) of a and b is ...

  m = √(ab)

We have ...

  7 = √(7b)

  49 = 7b . . . . . square both sides

  7 = b . . . . . . . .divide by 7

a = b = m = 7 in this case.

6 0
3 years ago
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