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Kisachek [45]
3 years ago
5

Find the measure of arc RPQ

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

If you have the radius:

You can use the Circumference which us equal to:

circumference = 2 \times \pi  \times \: r

Then substitute:

arc = \frac{31}{360}  \times 2 \times \pi \times r

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Triangle XYZ is translated 4 units up and 3 units left to yield ΔXYZ. What is the distance between any two corresponding points
Mashcka [7]
<h3>Answer:</h3>

5 units

<h3>Step-by-step explanation:</h3>

A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.

... d² = 4² +3² = 16 +9 = 25

... d = √25 = 5 . . . . units

7 0
3 years ago
Read 2 more answers
a square has a perimeter of 48cm.the square is cut in half . the two halves are put together to make this shape . what is the pe
Naily [24]

Answer:

The length of each side is 12cm.

Explanation:

The perimeter of a square is calculated by the formula:

P=4a, where P=perimeter, and a=length of any side, all sides being equal in a square.

From the given data we write:

48=4a

Divide both sides by 4.

12=a

The length of each side is 12cm.

7 0
3 years ago
Suppose that y varies inversely with x, and y=3 when x=4.
yawa3891 [41]

When y varies inversely as x it can be expressed as follows:

\frac{1}{x}\text{ }\propto\text{y}

If we write the general equation for this

y=\frac{A}{x}

When y=3 and x=4 we can calculate de value of A

\begin{gathered} x=4 \\ y=3 \\ 3=\frac{A}{4} \\ A=4\cdot3 \\ A=12 \end{gathered}

Then the equation that describes an inverse variation between x and y is_

y=\frac{12}{x}

6 0
1 year ago
△ABC is similar to △LMN by the ​ AA Similarity Postulate ​ . The measure of ∠A is 57º and m∠C=2(m∠M).
Agata [3.3K]
△ABC is similar to △LMN by the ​ AA Similarity Postulate ​. The measure of ∠A is 111º and m∠C=2(m∠M).

Since the Angle of A is 111 degrees.
Another angle, Angle of C is twice the angle of M.

Angle of A = Angle of C
2 (Angle of M) = Angle of C
2 (Angle of M) = 57
<span>Angle of M = 28.5 degrees</span>
8 0
3 years ago
If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of
labwork [276]

Answer:

S = 62.5%

Step-by-step explanation:

  • Let the junior members be J.
  • Let the senior members be S.

<u>Given the following data;</u>

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

S = \frac {5}{8} * 100

S = \frac {500}{8}

<em>S = 62.5%</em>

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

4 0
3 years ago
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