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
Scorpion4ik [409]
3 years ago
10

Point p is the center of two concentric circle pq =2.5 and ps= 5 RS is tangent to the smaller circle and a chord of the larger c

ircle what is length of RS to the nearest tenth

Mathematics
2 answers:
lukranit [14]3 years ago
7 0

The answer is 8.7

..............................

konstantin123 [22]3 years ago
5 0

Here Q and S are the points on smaller and larger circles respectively and P is the center of both circles.

Given that, radius of smaller circle, PQ= 2.5

and radius of larger circle, PS= 5

RS is a chord of the larger circle and tangent to the smaller circle at point Q.

That's why, ∠PQS will be 90° and the ΔPQS is a right angle triangle.

For ΔPQS, we will use Pythagorean Theorem, according to this theorem here:

(PS)² = (PQ)² + (QS)²

⇒ (5)² = (2.5)² + (QS)² [By plugging PS= 5 and PQ= 2.5]

⇒ 25 = 6.25 + (QS)²

⇒ 18.75 = (QS)² [Subtracting 6.25 from both sides]

⇒ QS = √18.75

⇒ QS = 4.3301

Here Q is the midpoint of the cord RS, so RQ= QS

That means, RS = 2× QS

= 2× 4.3301

= 8.6602

= 8.7 [Rounding to the nearest tenth]

So, the length of RS to the nearest tenth is 8.7

You might be interested in
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr
shtirl [24]

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

6 0
2 years ago
Read 2 more answers
Malcom is filling bags with rice . He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pounds of rice . H
timama [110]

Answer:

Malcolm would fill 8 bags of rice.

Step-by-step explanation:

The size of the container of rice = 5\frac{1}{4} pounds = \frac{21}{4} pounds.

Each bag of rice has a capacity of \frac{5}{8} pounds.

The number of bags of rice that Malcolm fills = \frac{total quantity of rice}{capacity of each bag}

                                          =  \frac{21}{4} ÷ \frac{5}{8}

                                          =  \frac{21}{4} x \frac{8}{5}

                                          = \frac{42}{5}

                                          = 8\frac{2}{5}

Therefore, Malcolm would be able to fill 8 bags of rice.

6 0
3 years ago
Compare the subtraction problems (6 8 − 5 8 = 1 8 ) and (6 9 − 7 9 = −1 9 ). Why is the answer to the first problem positive and
kherson [118]

Answer:

In the second problem, the first fraction is less than the second fraction.

If you subtract a lesser number from a greater number, the answer is positive.

If you subtract a greater number from a lesser number, the answer is negative.

Step-by-step explanation:

Hope this helps

Sorry if it was late

7 0
3 years ago
Read 2 more answers
I need help please?!!
Nataly [62]

Answer:

- 5

Step-by-step explanation:

The opposite of 7c is the negative of 7c, that is - 7c

Thus the sum of 7c - 5 and the opposite of 7c is

7c - 5 + (- 7c) = 7c - 5 - 7c = - 5

7 0
3 years ago
Wich of the statement below is true for the foolowing set of numbers 24,20,36,51,60,28?
svp [43]

20,24,28,36,51,60 us the correct statement

5 0
2 years ago
Other questions:
  • 3. m=-4, b = 1<br> a. y=x-4<br> b. y = -4x – 1<br> C. y=-*x+1<br> d. y=-4x + 1
    13·1 answer
  • NEED HELP ASAP! WILL CRY OR SOMETHING
    6·1 answer
  • A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free thr
    8·1 answer
  • Graph x – 3y = 3 <br><br>please help​
    6·1 answer
  • B) Two less than the square of a number​
    11·1 answer
  • What are positivly charged particles in an atoms nucleus called
    15·1 answer
  • The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
    14·2 answers
  • What Value of N makes the equation true?
    10·2 answers
  • The best translation for Zimbabwe is:
    7·1 answer
  • Find x and y <br><br> pls help
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!