1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jonny [76]
3 years ago
13

The figure below shows concentric circles, both centered at 0.0

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

You might be interested in
Alex has five rolls of shelf paper that is 800 cm long.She wants to use the to line the 1-meter wide shelves in her pantry. How
jeyben [28]

Answer:

Alex can line eight 1-meter wide with the paper.

Step-by-step explanation:

- Alex has five rolls of shelf paper that is 800cm.

- She wants to use the paper to line the 1-meter wide shelves in her pantry.

- We want to determine how many 1-meter wide she can line with the paper.

- First, we know that

100cm = 1m

- we need to determine how many meters are in 800cm.

100cm = 1m

800cm = xm

100x = 800

x = 800/100

= 8

Therefore, 800cm is equivalent to 8m

Alex can line eight 1-meter wide with the paper.

5 0
3 years ago
How to tell if a line is parallel perpendicular or neither?
belka [17]
Parallel is when the lines go the same direction and never touch whereas perpendicular lines are when the lines cross each other so the they are like a plus sign with all 90 degree angles. Hope i helped.

7 0
3 years ago
write the equation of the line that is perpendicular to the line y = 2x 2 and passes through the point (6, 3). a. y = 2x 6 b. y
Nataliya [291]
For perpendicular lines, m1m2 = -1 or m2 = -1/m1.
Line y = 2x + 2 has a slope of 2, hence required slope is -1/2
Required equation is y - y1 = -1/2(x - x1)
y - 3 = -1/2(x - 6)
y - 3 = -1/2x + 3
y = -1/2 x + 3 + 3
y = -1/2 x + 6
5 0
3 years ago
If Sheila paid $797.50 in interest on a 5 year loan of $5,800 for her first car, what was the interest rate? (Make sure you’ve c
Vsevolod [243]
I = Prt
r = I/Pt
given
I = <span>$797.50
P = </span><span>$5,800
t = 5

so
</span>r = I/Pt
r = 797.50 /  (5,800 x 5)
r = 797.50 / 29,000
r = 0.0275
r = 2.75%

answer
r = 2.75%
3 0
3 years ago
Read 2 more answers
The equation y-2=3(x+1) is written in point-slope form. What is the equation in slope-intercept form?
ivann1987 [24]

Our first step would be to distribute this 3 through the

parentheses to get 3x + 3 on the right side of the equation.

On the left bring down your y - 2 to get y - 2 = 3x + 3.

Next we would move the -2 to the right side of the

equation by adding 2 to both sides to get y = 3x + 5.

Now, this equation is written in slope-intercept form because

the <em>y</em> is by itself on the left side of the equation.

3 0
3 years ago
Other questions:
  • Lee bought a couch for $600. He made equal payments of 10% of the total cost. How much was each payment?
    15·2 answers
  • How do You graph : y-10= -5x?
    13·1 answer
  • The graph of an exponential function of the form y = f(x) = a^x passes through the points and . The graph lies the x-axis.
    15·1 answer
  • An FM radio station broadcasts at 84 megahertz (MHz). What is the energy of each photon in Joule? Use h = 6.6 * 10 ^ (- 34) * j
    14·1 answer
  • Estimation is best defined as: a. both a process of inferring the values of unknown samples statistics from those of known popul
    12·1 answer
  • Calculate the monthly payment for a $14,790 auto loan over four years at 6.9% annual interest.
    13·2 answers
  • Pls help me I will merl you as brain
    8·1 answer
  • Please help me, look at the picture I need help... please ​
    12·2 answers
  • 9] Your town has a population of 25,000 citizens this
    8·1 answer
  • Writes 25 x 10 to the power of 6
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!