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liraira [26]
3 years ago
5

Determine if the coordinate (6, 8) lies on the circle x^2 + y^2 = 100. ​

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

x² + y² = 100

6² + 8² = 100

36 + 64 = 100

100 = 100

Because this is a true statement, the answer is yes, it does lie on the circle.

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What is angle MNT? Help
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Step-by-step explanation: it is less than 90 degrees so it is less the right angle

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A need help Dilations-He Said, She Said (12/10)
Elodia [21]

Answer:

We conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

Step-by-step explanation:

Checking the location of the vertices of the original triangle ΔDEF

  • D(-2, 4)
  • E(2, 4)
  • F(0, 2)

Checking the location of the dilated vertices of the image triangle ΔD'E'F'

  • D'(-5, 10)
  • E'(5, 10)
  • F'(0, 5)

Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'

i.e.

D(-2, 4) → D'(5/2 (-2), 5/2 (4))  → D'(-5, 10)

E(2, 4) → E'(5/2 (2), 5/2(4))  → D'(5, 10)

F(0, 2) → E'(5/2 (0), 5/2(2))  → F'(0, 5)

Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

6 0
3 years ago
2. In a recent survey conducted by the International Nanny Association, 4,176 nannies were placed in a job in a given year. Only
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Answer:

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Desired outcomes:

The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.

Total outcomes:

The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.

Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

P = \frac{24}{4176} = 0.0057

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

3 0
3 years ago
Find the two pairs of integers whose sum is -6
MaRussiya [10]

Answer:

1, -7

Step-by-step explanation:

any whole number(s) that result in -6 will be your answer.

x+y= -6

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3 years ago
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