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
zmey [24]
3 years ago
8

the point (4,0) lies on a circle with the center at the orgin. what is the area of the circle to the nearsest hundreth?

Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

50.27 units²

Step-by-step explanation:²

The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius.  Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.

The formula for the area of a circle is A = πr².

Here, with r = 4, the area is A = π(4 units)² = 16π units², or

50.27 units² to the nearest hundredth.

You might be interested in
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
What is 89 divide into 4356
ValentinkaMS [17]
Divide 89 by 4356
\frac{89}{4356} = 0.02 is the answer
6 0
3 years ago
Read 2 more answers
PICK ME!!! Abel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results
tatuchka [14]
I think it is 1/3 but I am not sure. Sorry if wrong.
4 0
3 years ago
What is the equation of the sinusoid shown in the graph?
ololo11 [35]

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

y=\cos x

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

y=A\cos(\omega x)

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

\frac{\pi}{2}\omega =2\pi

Thus:

\omega = 4

Therefore, the equation of the sinusoid is:

y=3\cos (4x)

Answer: C

3 0
3 years ago
Read 2 more answers
Sarah has 284 coins in a piggy bank with a total value of $22.78. Sarah has 173 pennies, 5 more dimes than nickels, the rest are
pickupchik [31]
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)

a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1)  N + D + Q = 111 coins

b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins

c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:

(1)  N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78




7 0
3 years ago
Other questions:
  • What is -|-9 -10| +12 (2) divided by 6•2
    6·1 answer
  • Please help with this 1 question. 25 points
    14·1 answer
  • What is the equivalent of pi over 6 radians in degrees?
    8·1 answer
  • After 1 month your $120 becomes $121.20. what is the yearly interest rate? ​
    7·1 answer
  • Find the value of the power. 1/7 with the power of 2
    12·1 answer
  • What is 7/9 x 5 and 2/5 ?
    14·1 answer
  • Please help me!!! Bsbebabnababwbabs
    5·1 answer
  • Please answer soon (40 Points)
    6·1 answer
  • A national appliance store chain is reviewing the
    8·1 answer
  • What is the median of the following data set ? {3,4,2,8,5}
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!