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pogonyaev
3 years ago
8

This is a challenging problem ? can someone help

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
The opposite sides of a rectangle are equal, so we can write the following equations:
2x = 3y + 5 ...........(1)
x = 2y + 2 .............(2)
Multiply equation (2) by 2, to get:
2x = 4y + 4 ...........(3)
The right hand sides of equations (1) and (3) are equal, so we can write:
3y + 5 = 4y + 4
which gives y = 1 as the solution.
Plugging y = 1 into equation (2), we find the x = 4.
So the full solution is: x = 4, y = 1.
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Slope is 7 root 2 I hope this
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6+n/5+-4. Solve for n.
Olin [163]
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A 400-meter Olympic-size track can be modeled with a rectangle and two semicircles.
pishuonlain [190]

The answer to both the subparts using the circumference of the circle is:

  • (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
  • (B) The area of green space on the track is 0.64m².

<h3>What is a length of a rectangle?</h3>
  • The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

What is a circumference of a circle?

  • The distance along a circle's perimeter is referred to as its circumference.
  • Circumference of the circle formula: C = 2πr.

Here,

(A) A circuit of a racetrack is equal to the sum of the two lengths of a rectangle and the circumference of the circle.

We get:

  • = 84.39 * 2 + 73π
  • = (168.78 + 73π)m

(B) Let the area of the green space of the track is x.

Then, calculate as follows:

  • 168.78 + xπ = 400
  • x = (400 - 168.78)/π
  • x = 73.64m

So, the inner circle of distance is 73.64 - 73 = 0.64m.

Therefore, the answer to both the subparts using the circumference of the circle is:

  • (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
  • (B) The area of green space on the track is 0.64m².

To learn more about the circumference from the given link

brainly.com/question/18571680

#SPJ13

7 0
1 year ago
What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)
SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

7 0
4 years ago
Y is inversely proportional to X. when y=4,X=16 work out X when y=8​
natka813 [3]

Answer:

x = 8

x = 8 when y = 8

Step-by-step explanation:

explanation is in the image

6 0
3 years ago
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