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Alla [95]
3 years ago
9

Find the center and the radius

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

Center: (0,9)

Radius: 15

Step-by-step explanation:

-According to the following equation, the center would be (0,9) , because the center is known as (h,k) from the equation of a circle. To find the radius, you would only need to square root the simplified radius from the following the equation and you would get the radius 15:

The equation of a circle:

(x-h)^2+(y-k)^2 =r^2

The following equation:

x^2+(y-9)^2 =225

Center: (0,9)    Radius: \sqrt{225} = 15

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I would really appreciate if someone would help me i don’t understand
alekssr [168]

Answer:

D. 48

Step-by-step explanation:

In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.

This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.

6 0
3 years ago
A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

  • 3x
  • 3 × 10
  • 30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

5 0
3 years ago
Do all straight lines that are functions have inverses?
tino4ka555 [31]

Answer: Not all Functions have a inverse

Happy To Help :)

Step-by-step explanation:

7 0
3 years ago
I need the length of c in the triangle shown. plz i need help badly.
lesya [120]

Answer:

c=10

Step-by-step explanation:

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

8 0
3 years ago
Mr John leased two thousand fifty meter square of land from the city administration. He gave one eighth of his land to his broth
slamgirl [31]

Answer:

1793.75 m²

Step-by-step explanation:

Given that :

Total amount of land leased = 2050 m²

Fraction of land given to brother = 1/8

Amount of land given to brother :

1/8 * 2050 = 256.25 m²

Amount of land left :

2050 m² - 256.25 m²

= 1793.75 m²

8 0
3 years ago
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