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
Sergeu [11.5K]
2 years ago
9

What’s the circumference, to this problem ?

Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

Answer:

The formula to get the circumference of a circle is C=2*\pi * r but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this C=d*\pi.

We can then input the value and we get that C=1*\pi which then just narrows down to C=3.142.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

You might be interested in
Select all of the expressions which show how to convert 2.5 yards into inches.
PIT_PIT [208]

Answer:

90

Step-by-step explanation:

4 0
3 years ago
A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}

By expanding the previous equation:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0

Since there is no accumulation within the tank, expression is simplified to this:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}, where c(0) = 0 \frac{pounds}{gallon}.

\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}

The solution of this equation is:

c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})

The salt concentration after 8 minutes is:

c(8) = 0.166 \frac{pounds}{gallon}

The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

3 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
fomenos

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

7 0
3 years ago
Suppose a soccer goalie punted the ball in such a way as to kick the ball as far as possible down the field. The height of the b
Alexxx [7]

Answer:

57.98 yards

Step-by-step explanation:

When the ball is on the ground, the height is y=0, therefore:

y=-0.017x^2+0.98x+0.33

0=-0.017x^2+0.98x+0.33

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-0.98\pm\sqrt{0.98^2-4(-0.017)(0.33)}}{2(-0.017)}

x_1=57.98184919

x_2=-0.3347903693

Since distance cannot be negative, the ball landed 57.98 yards down the field from where the goalie kicked the ball.

8 0
2 years ago
torri has $20 to but a birthday present for her dad she decided to buy a DVD for $18 the sales tax is 7% does she have enough mo
fenix001 [56]
Yes because the 7% tax is only $1.26 so the total is $19.26
6 0
3 years ago
Read 2 more answers
Other questions:
  • There are 4 lunch choices in a school cafeteria: Salad, Pizza, Spaghetti, and Sub Sandwiches. The percentage of students that ch
    14·2 answers
  • A corn silo contains 8,250 cubic feet of corn before it is loaded into a storage container. The corn is loaded from the silo int
    7·2 answers
  • You have already saved $55. You can earn $9 per hour at your job. You are saving for a bicycle that costs $199. What inequality
    6·2 answers
  • The Serenity and the Mystic are sailboats. The Serenity and the Mystic start at the same point and travel away from each other i
    13·1 answer
  • The Table represents a Linear Function.
    11·1 answer
  • Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?
    15·2 answers
  • Sprint was sell Iphones. They sold 100 phones. They sold each phone for $200. But, they got the phones on discount for $50 each
    11·1 answer
  • A cat jumps 5 feet in the span of 2 seconds. Find the unit rate, in feet per second, that the cat is moving at. Express any impr
    11·1 answer
  • Is the triangle isosceles, equilateral, or
    13·2 answers
  • Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!