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padilas [110]
3 years ago
8

If an arc has a measure of 97° and the circle has radius = 10, what is the arc length

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0
Circumference = 2 x PI x r = 2 x 3.14 x 10 = 62.8

97/360 x 62.8 = 16.92

 arc length = 16.92  ( round answer as needed)

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If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is
Simora [160]

Answer:

{0, 10, 42}

Step-by-step explanation:

<em>Domain is set of input values and range is set output values.</em>

For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}

<u>Range is:</u>

  • f(-2) = 2(-2)² - 8 = 0
  • f(3) = 2*3² - 8 = 10
  • f(5) = 2*5² - 8 = 42

<u>Range:</u> {0, 10, 42}

6 0
3 years ago
Which of the following indicates that the roots of a quadratic are irrational
yan [13]
Answer would be D  You can have a rational discriminant for an irrational root, but you can also have rational discriminant for a rational root. So C is partially correct. 

<span>All prime discriminants will result in an irrational root, but not all irrational roots have prime discriminants </span>
6 0
4 years ago
Line equations from point/slope
babunello [35]

Answer:

The answer is

y =  \frac{1}{4} x + 3

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

y=  \frac{1}{4}x  + b \\  2 =  \frac{1}{4} ( - 4) + b \\ 2 =  - 1 + b \\  \frac{ + 1 =  + 1  \:  \:  \:  \:  \:  \:  \:  \: }{3 = b}

We found the y-intercept, so now we plug it in it's right full spot in the formula.

y =  \frac{1}{4} x + 3

8 0
3 years ago
The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t
emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1  and given area = 21

21 = (2w-1) * w

21= 2w^2 - w

subtract 21 on both sides

0= 2w^2 - w - 21

now solve for 'w'

0= 2w^2 +6w -7w- 21

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0                    and w+3 =0

w = 7/2                            w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0
4 years ago
Please help I need this done ASAP
ziro4ka [17]
The butterfly method

12x10=120
3c=3c

120/3 = 40
4 0
4 years ago
Read 2 more answers
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