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Anit [1.1K]
2 years ago
8

Find the circumference and area of the circle. Use 3.14 or 22/7 for π.

Mathematics
1 answer:
Hoochie [10]2 years ago
4 0

Answer:

  • circumference: 62.8 ft
  • area: 314 ft²

Step-by-step explanation:

The circumference is given by the formula ...

  C = πd

Using the given numbers, the circumference is ...

  C = (3.14)(20 ft) = 62.8 ft

__

The area is given by the formula ...

  A = πr² . . . . . where radius r is half the diameter

Using the given numbers, the area is ...

  A = 3.14(10 ft)² = 314 ft²

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Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb
rjkz [21]

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

8 0
3 years ago
1. ΔABC and ΔDEF are similar = Given
deff fn [24]
I think the answer is d. The slope of AC=Slope of DF.

Hope this helped☺☺
3 0
3 years ago
Read 2 more answers
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​
melisa1 [442]

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

6 0
3 years ago
Any and all help would be appreciated!
SpyIntel [72]

The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!

The slope formula is \frac{y2 - y1}{x2 -x1}

With the table, the TIME column can be "x"

The DISTANCE column can be "y"

____________________________

As coordinates, it would look like...

(0,0)

(20, 25)

(30, 37.5) and so on!

_____________________________

All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!

Example:

solve!

\frac{37.5 - 25}{30 - 20} = 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)

8 0
2 years ago
A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

6 0
2 years ago
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