All categories

3 years ago

What is the radius of Circle C?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

The distance from the center C to the point on the circle B is the radius.
radius = length of BC = x

Triangle ABC is a right triangle. The right angle (aka 90 degree angle) is at angle B as shown by the square marker.

Because we have a right triangle, we can use the pythagorean theorem

(leg1)^2 + (leg2)^2 = (hypotenuse)^2
(AB)^2 + (BC)^2 = (AC)^2
(22)^2 + (x)^2 = (x+14)^2
484 + x^2 = x^2 + 28x + 196
484 + x^2-x^2 = x^2 + 28x + 196-x^2
484 = 28x+196
484-196 = 28x+196-196
288 = 28x
28x = 288
28x/28 = 288/28
x = 72/7
x = 10.285714

The exact value of x, as a fraction is 72/7
Using a calculator, the approximate value of x is roughly 10.285714

So the radius is exactly 72/7 units long.
The radius is approximately 10.285714 units long.

You might be interested in

Solve for the unknown variable 2/5(3x-4)=-4

Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer: x = -2

6 0

3 years ago

Read 2 more answers

Write an equation of the line passing through (-2,4) and (3,5). Give the answer in standard form.The equation of the line in sta

Alecsey [184]

Start finding the slope of the line

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{then,} \\ m=\frac{5-4}{3-(-2)} \\ k=\frac{1}{5} \end{gathered}$

using one of the points find the intercept and the standard form

$\begin{gathered} (-2,4) \\ 4=\frac{1}{5}(-2)+b \\ b=4+\frac{2}{5} \\ b=4.4 \end{gathered}$

the equation of the line is

$y=\frac{1}{5}x+4.4$

6 0

9 months ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

2 years ago

Choose 1 answer:

Paladinen [302]

Answer:

B complementary angles

Step-by-step explanation:

ED is a line.

Angles EAB and DAB are a linear pair, so they are supplementary.

Angle EAB is a right angle, so angle DAB is also a right angle.

The measure of angle DAB is 90 degrees.

The sum of the measures of angles a and b is 90 degrees.

That makes <a and <b complementary angles.

6 0

3 years ago

Read 2 more answers

Pleaseeeeeee helpppppppp

mixer [17]

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

5 0

2 years ago