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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.

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CaHeK987 [17]

Subtracting -9 from any number is the same as

A

subtracting 9 from that number.

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3 years ago

At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

katovenus [111]

Answer:

Step-by-step explanation:

The velocity of a moving body is given by the equation:

$v=t^2-5t+4 ,\, t\geq0$

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

$v$

By substitution:

$t^2-5t+4$

Solve. To do so, we can first solve for t and then test values. By factoring:

$(t-4)(t-1)=0$

Zero Product Property:

$t=1, \text{ and } t=4$

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

$v(0)=4>0,\, v(2)=-20$

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

7 0

3 years ago

After a weekend at the beach, Lisa has $274 less than she had when she left. The equation that represents this situation is e=s−

Anon25 [30]

Well that's easy it basically tells you all you gotta do is plug in the numbers

"E" is what you're trying to find out so you don't know that one it stays the same.

"S" is the amount of money she started with and it says she started with $500

And then she has $274 less than she started with.

E = 500 - 274

E= 226

She is left with $226 after her weekend at the beach.

~Hope it helped~

6 0

3 years ago

The base of a trinagle is increased by 20% and it’s height is increased by 30%. By what percent is the area of the triangle incr

Molodets [167]

Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y

Area of a triangle is base times height divided by 2:

1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy

But a normal area would be 50% of xy

78% - 50% = 38%

ANSWER: 38% increase

4 0

3 years ago

What is the perpendicular bisector of RT

Solnce55 [7]

The perpendicular bisector of RT is B. SU.

3 0

3 years ago