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
maria [59]
3 years ago
15

The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that

contains all four vertices of this rectangle. if the area of the circle is xπ square inches, then what is the value of x ?

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

  x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

  (42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

  (5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

  A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.

You might be interested in
(09.06 MC) A mechanic gives a survey to all of his customers asking them to rate the quality of the service they received. He th
attashe74 [19]

Answer: Most customers who rate their service as high quality return for additional services.

Step-by-step explanation: just took the test :)

8 0
2 years ago
Find the value of x and y
weqwewe [10]

Step-by-step explanation:

all work is shown and pictured

3 0
3 years ago
Two quadratic functions are shown.
slava [35]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

Function 1,

f(x) = 4x² + 8x + 1

     = 4(x² + 2x) + 1

     = 4(x² + 2x + 1 - 1) + 1

     = 4(x² + 2x + 1) - 4 + 1

f(x) = 4(x + 1)² - 3

This graph opens up with the vertex or minimum point at (-1, -3)

So, the minimum value of the function is (-3) at x = -1.

Function (2)

From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)

Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)

Option (1) is the correct option.

7 0
3 years ago
Pls solve: 6 - 2/9x = 8
Inga [223]

Answer:

x = -9

Step-by-step explanation:

6 - 2/9x = 8

Subtract 6 from each side

6-6 - 2/9x = 8-6

-2/9 x = 2

Multiply each side by -9/2 to isolate x

-9/2 * -2/9x = 2*-9/2

x = -9

5 0
3 years ago
Read 2 more answers
What is the tangent of an equal to
elena-s [515]
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
3 0
3 years ago
Other questions:
  • Evaluate tan (cos^ -1 (- 15/17 )
    7·2 answers
  • Which of the following is the graph of y = ex + 1?
    15·2 answers
  • Can someone please help me with this question I don’t understand. Thanks
    13·1 answer
  • A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 70% of the compone
    15·1 answer
  • What is the range of y= -5sin(x)
    15·1 answer
  • Rachel jogged along a trail that was 1/4 of a mile long. she jogged around the trail 8 times. How many mile did Rachel jogged?
    5·1 answer
  • Please help! All in the image:
    14·2 answers
  • Ram’s father is 38 years old. His age is three more than five times the age
    7·2 answers
  • I NEED HELP‼️
    8·1 answer
  • how to do a multiplication grid please someone tell me. I don't know how to show you a picture of the grid either im sorry :(​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!