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
aivan3 [116]
2 years ago
7

Answer this question ASAP

Mathematics
1 answer:
sergey [27]2 years ago
4 0

Answer:

35.0 cm (to 3 significant figures)

Step-by-step explanation:

Circumference of a circle = 2d (where d is the diameter).

Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.

Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.

To find the diagonal, we use Pythagoras' Theorem a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right angled triangle).

From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm.  So:  

 9² + 15² = c²

81 + 225 = c²

      306 = c²

             c = √306 = 3√34

Therefore, the diameter of the circle = 3√34 cm

Circumference = 2d

                         = 2 x 3√34

                         = 6√34

                         = 35.0 cm (to 3 significant figures)

You might be interested in
I need help please :(
zloy xaker [14]

Answer:

-(1/3 · 1/3 · 1/3 · 1/3 )

Step-by-step explanation:

-(3)^-4= -1/3 ^4 = -1/81

-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81

7 0
3 years ago
Read 2 more answers
How many solutions does 9x+5=9x+7
Troyanec [42]

Answer:

There are 0 solutions to this problem because it cannot be re-arranged logically enough to come to a new conclusion.

3 0
2 years ago
Read 2 more answers
I need your help guys help me differentiate this question​
Elden [556K]

Answer:

6((4 {x}^{3}  - 5x + 1) ^{ - 4}  + 4 {x}^{10} + 4) ^{5} \times  (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9}

3 0
3 years ago
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the r
Artist 52 [7]

Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

5 0
2 years ago
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price i
Liono4ka [1.6K]

Answer:

7 and 6 respectively

Step-by-step explanation:

Firstly, we have to solve the equations simultaneously.

2x + 7p = 56

3x - 11p = -45

Multiply equation I by 3 and ii by 2

6x +21p = 168

6x - 22p = -90

Subtract the second from first to yield:

43p = 258

p = 6

Insert this in equation 1 where we have 2x + 7p = 56

2x + 7(6) =56

2x + 42 = 56

2x = 14 and x = 7

The equilibrium price is 6 and the equilibrium quantity is 7

8 0
3 years ago
Other questions:
  • Type the correct answer in the box. Round your answer to two decimal places.
    8·2 answers
  • Can I please get some help on these 2 problems? Thank you. pictures attached.
    12·1 answer
  • The data shows the number of grams of fat found in 9 different health bars 12, 14, 16, 17.5, 10, 18, 15, 15.5, 19
    12·1 answer
  • If the probability that it will rain tomorrow is , what is the probability that it will not rain tomorrow? ASAP
    7·2 answers
  • PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLY
    7·1 answer
  • ..............:( halp
    12·1 answer
  • 1. At a home improvement store, customers can rent a small cargo truck to transport any large
    5·2 answers
  • HELP PLS i really need help
    9·1 answer
  • A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discoun
    15·1 answer
  • Simplify.<br><br> 100‾‾‾‾√<br><br> 20<br><br> 10 <br><br> −1<br><br> −25
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!