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Anettt [7]
4 years ago
13

Can you please help me with this problem

Mathematics
1 answer:
vagabundo [1.1K]4 years ago
8 0
\bf \begin{cases}
\textit{area of a circle}=\pi r^2
\\ \quad \\
circumference=2\pi r
\end{cases}
\\ \quad \\

12.56=\pi r^2\implies \cfrac{12.56}{\pi }=r^2\implies \sqrt{\cfrac{12.56}{\pi }}=\boxed{r}
\\ \quad \\
thus
\\ \quad \\
circumference=2\pi \boxed{r}\implies 2\pi \boxed{\sqrt{\cfrac{12.56}{\pi }}}
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ella [17]

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7 0
3 years ago
Circle A is tangent to circle B.<br> True<br> False
Mrac [35]

Answer:

false

Step-by-step explanation:

tangent always touch to the circle

so....

5 0
3 years ago
Can anyone help me please
Sauron [17]

Range of values of x is 25°<x<27°.

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

An angle is formed when two rays, a line with one endpoint, meet at one point called a vertex.Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

In above question, sides are equal and so alternate interior angles are equal i.e. 2x + 10° = 62° ⇒ 2x = 52° ⇒ x =26°

∴ range of values of x is 25°<x<27°

4 0
4 years ago
Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr
dem82 [27]

Answer:

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed × time = distance

distance = 10/13 × 120

= 92.30769231 km

7 0
3 years ago
What is the value of x?<br> Enter your answer in the box.<br> x =
Svetllana [295]

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

6 0
3 years ago
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