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nalin [4]
2 years ago
12

Given the following rectangle and circle, what appropriate value of x are the two areas equal? A: x= 3.4 B: x=5.8 C: x= 10.2 D:

the curves do not intersect, so there is no solution

Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

The correct option is D:

the curves do not intersect, so there is no solution

<h3>For what values of x are the two areas equal?</h3>

The area of the rectangle is given by:

f(x) = (x + 7)*(5x - 3)

f(x) = 5x² -3x + 35x - 21

f(x) = 5x² + 32x - 21

For the circle, the area is:

g(x) = 2*pi*(x + 6)^2

g(x) = 2pi*x^2  + 12pi*x + 72pi

The solution is given g(x) = f(x).

By graphing both functions (the green curve is the area of the rectangle, the orange one is the area of the circle). The two curves never do intercept, so the correct option is D.

If you want to learn more about areas:

brainly.com/question/24487155

#SPJ1

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BaLLatris [955]
20.9984 rounded = 21
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2 years ago
for a given speed, the distance traveled varies directly with the time. Kate's school is 5 miles away from her home and it takes
Yuri [45]

Answer: It will take Josh 4 minutes to get to school.

Step-by-step explanation:

  1. Divide the distance by the time.
  2. So, 10 minutes/ 5 miles
  3. Solve: 10/5= 2
  4. Their speed is 2 minutes per mile.
  5. Multiply 2 miles by 2 minutes
  6. The answer is 4 minutes
  7. It takes 4 minutes to get from Josh's house to the school.

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7 0
3 years ago
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What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?<br> Doc Below
Mashutka [201]
Speed =wavelength x frequency
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5 0
3 years ago
I need help!!!!!!!!!!!!!!!!!
choli [55]

Answer:16.454mm

Step-by-step explanation:

6 0
3 years ago
Mia is 6.93648 x 10^6 minutes old. Convert her age to more appropriate units using years,
miskamm [114]

For this case we have the following expression in units of minutes:

6.93648 * 10 ^ 6

As the exponent is positive we run the decimal six spaces to the right:

6,936,480 \ min

We have 1 hour has 60 min, then:

\frac {6,936,480} {60} = 115,608 \ hours

On the other hand, we have one day has 24 hours.

\frac {115,608} {24} = 4,817 \ days

Likewise, a month has 30 days:

\frac {4817} {30} = 160.57 \ months

Also, one year has 365 days:

\frac {4817} {365} = 13.20 \ years

Finally, Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.

ANswer:

Mia is 13 years old equivalent to 160 months, which is equal to 4817 days.

3 0
3 years ago
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