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mart [117]
3 years ago
12

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be

located?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

Point A' will be located 10 units away from point A along ray PA

Step-by-step explanation:

we have

The scale factor is 3

step 1

Find out the distance PA'

we know that

The distance PA' is equal to multiply the distance PA by the scale factor

so

PA'=PA*3

we have

PA=5\ units

substitute the given values

PA'=(5)*3=15\ units

step 2

Find out how many units away from point A along ray PA will A’ be located

we know that

PA'=PA+AA'

we have

PA=5\ units

PA'=15\ units

substitute the given values and solve for AA'

15=5+AA'

AA'=15-5=10\ units

therefore

Point A' will be located 10 units away from point A along ray PA

mojhsa [17]3 years ago
4 0

Answer:

Hi I am on it right now what is the answer?

Step-by-step explanation:

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prohojiy [21]

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = \frac{4}3}\pi r^3

= 4 * 3.14 * 3 * 3 *3 / 3

=  4 * 28.26

= 113.04 cm³

6 0
3 years ago
Help this is due today.
Vika [28.1K]
Dominic would be the answer because the exponents add together
7 0
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Find the midpoint of points A(-8,1) and B(-3,7) graphically.
Sedaia [141]
The 'x' coordinate of the midpoint is the average of the 'x'


5 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
mars1129 [50]

Answer:

m∠SVT = 79*

Step-by-step explanation:

8y - 33 = 5y + 9

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7 0
3 years ago
Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes an
svet-max [94.6K]

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

5 0
3 years ago
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