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mote1985 [20]
3 years ago
7

Find the length of the arc A.8 pie ft B.32 pie ft C.64 pie ft D. 361 pie/ 12 ft

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
6 0
<h3>Answer: Choice A. 8pi  feet</h3>

======================================================

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

charle [14.2K]3 years ago
5 0

Answer:

A.   8π  ft.

Step-by-step explanation:

perimeter of a circle = 2 π r

where r = 16

find: length of arc.

since the arc is 1/4 of a circle. just multiply it with the formula above.

arc length = <u> 1  </u> x 2 π 16

                     4

arc length = 8π  ft.

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How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.
Ierofanga [76]

Answer:

1 3/10 pounds of candy. Or around 1 pound

Step-by-step explanation:

6 1/2= 6.5

6.5/5=1.3

1.3 as a fraction is 1 3/10

3 0
3 years ago
Which equation has the solution x = 3?
arsen [322]
Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12

Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
____________
-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
________
x = -3

So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
-6 -6
__________
2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
__________
x = 3

So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
- 6 - 6
_____________
6x = 6

Now, divide by 6, on both sides:

6x = 6
÷ 6 ÷ 6
_____________
x = 1

So, the answer is not 'C.'
_________________________________________

4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
-x -x
_____________
6 = 16x

Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!
8 0
3 years ago
Question 1b? please help?
Alborosie
I hope this may help.u

5 0
3 years ago
Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's
klemol [59]

The width of the card to the nearest tenth of an inch is 6.15 inches

<h3>Area of rectangle</h3>

  • Width = x
  • Length = 2x + 1
  • Area = 88 square inches

Area of a rectangle = Length × Width

88 = (2x + 2) × x

88 = 2x² + 2x

2x² + 2x - 88 = 0

x = -b ± √b² - 4ac / 2a

= -2 ± √2² - 4(2)(-88) / 2(2)

= -2 ± √4 - (-704) / 4

= -2 ± √708 / 4

= -1/2 ± √177/2

x = 6.15 or -7.15 inches

The width of the rectangle can not be negative, so, 6.15 inches is the width.

Learn more about rectangle:

brainly.com/question/13048427

#SPJ1

5 0
2 years ago
How many solutions does the following equation have |6×+12|=-18
Luba_88 [7]
This equation has no solution.

Reason: 
The absolute valued function, which is represented by straight bars, returns only positive values.
For example | - 5 | = 5
A negative result cannot be obtained from an absolute valued function. Since the given equation makes the absolute valued function equal to a negative value, which is not possible, so the equation has no solution or root. 
7 0
3 years ago
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