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
mixer [17]
3 years ago
13

The circle below has a radius of 16 inches.

Mathematics
1 answer:
torisob [31]3 years ago
5 0
2*16*3.14=100.48
Answer D
Explanation:
Circumference = 2*pi*radius
You might be interested in
Can someone please help me with my homework please.p
umka2103 [35]

Answer:

8-20c

Step-by-step explanation:

Just plug 4c into the function

8-5x

8-5(4c)

8-20c

4 0
3 years ago
Find the real numbers x and y if -3+ix^2y and x^2+y+4i are conjugate of each other. Pls solve with the steps
Firdavs [7]
ANSWER
x = ±1 and y = -4.
Either x = +1 or x = -1 will work

EXPLANATION
If -3 + ix²y and x² + y + 4i are complex conjugates, then one of them can be written in the form a + bi and the other in the form a - bi. In other words, between conjugates, the imaginary parts are same in absolute value but different in sign (b and -b). The real parts are the same

For -3 + ix²y
⇒ real part: -3
⇒ imaginary part: x²y

For x² + y + 4i
⇒ real part: x² + y (since x, y are real numbers)
⇒ imaginary part: 4

Therefore, for the two expressions to be conjugates, we must satisfy the two conditions. 

Condition 1: Imaginary parts are same in absolute value but different in sign. We can set the imaginary part of -3 + ix²y to be the negative imaginary part of x² + y + 4i so that the 

   x²y = -4 ... (I)

Condition 2: Real parts are the same

   x² + y = -3 ... (II)

We have a system of equations since both conditions must be satisfied

   x²y = -4 ... (I)
   x² + y = -3 ... (II)

We can rearrange equation (II) so that we have

   y = -3 - x² ... (II)

Substituting into equation (I)

   x²y = -4 ... (I)
   x²(-3 - x²) = -4
   -3x² - x⁴ = -4
   x⁴ + 3x² - 4 = 0
   (x² + 4)(x² - 1) = 0
   (x² + 4)(x-1)(x+1) = 0

Therefore, x = ±1.
Leave alone (x² + 4) as it gives no real solutions.

Solve for y:

   y = -3 - x² ... (II)
   y = -3 - (±1)²
   y = -3 - 1
   y = -4

So x = ±1 and y = -4. We can confirm this results in conjugates by substituting into the expressions:

   -3 + ix²y 
   = -3 + i(±1)²(-4)
   = -3 - 4i

   x² + y + 4i
   = (±1)² - 4 + 4i
   = 1 - 4 + 4i
   = -3 + 4i

They result in conjugates
4 0
3 years ago
Read 2 more answers
Your company has recently won a bid for a building contract. Your company has promised the client that the project will be finis
diamong [38]
You work 50 -40 = 10 extra hours per week but get paid for 1.5 times that, or 15 extra hours. In all, you're paid for 40 +15 = 55 hours per week.
.. (55 h/wk)*(4 wk/mo)*($16/h) = $3520/mo

Your gross pay for the month (4 weeks) will be $3,520.
8 0
3 years ago
Read 2 more answers
How many acute, obtuse, and right angles are in this figure?
marta [7]
Hello!

Acute angles are angles less than 90°

A right angle is a angle that is exactly 90°

A Obtuse angle is a angle that is more than 90°

Looking at the picture there are

acute angles - 2
obtuse angles - 2
right angles - 0

Hope this helps!
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 1/3(5x+3y)+2/5y+7?
Pepsi [2]
D is the answer because all you have to do is solve
5 0
3 years ago
Read 2 more answers
Other questions:
  • The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an addition
    11·1 answer
  • Find the next number in the number sequence 1 2 4 8 16
    8·1 answer
  • For which equation is x = 22 the solution?
    6·2 answers
  • A scale drawing of a room is 6inches x4inches. Scale of 1:40. What is the square feet
    5·1 answer
  • Simplify the expression 14+8x2
    6·1 answer
  • K= 2m-x/ x solve for x
    12·1 answer
  • Karen already owns 3 hair bands, and additional hair bands are priced at 8 for a dollar. How much money does Karen need to spend
    11·1 answer
  • 15. A door wedge is shaped like a triangular prism. The wedge is filled with sand. How
    8·2 answers
  • In​ Joe's fish​ tank, there are 9 goldfish and 13 snails. How does the ratio 9​:22 describe​ Joe's fish​ tank?
    8·1 answer
  • 0.015104 ÷ 10 = <br> 0.015104 ÷ 100 = <br> 0.015104 ÷ 1,000 = <br> 0.015104 ÷ 10,000 =
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!