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Keith_Richards [23]
2 years ago
7

The circumference of a circle is 27.004 yards. What is the circle's radius?

Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

r = 4.3

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Debora [2.8K]

you have the following inequality:

3 + 4x > -5

in order to solve for x, proceed as follow:

3 + 4x > -5 subtract 3 both sides

4x > - 5 - 3

4x > -8 divide by 4 both sides

x > -8/4

x > -2

Hence, the solution to the given inequality is x > -2

7 0
1 year ago
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
weeeeeb [17]

Answer:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

y-2=\frac{-4}{5} (x+3)

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

y=\frac{-4}{5} x-\frac{2}{5}

Thus, our two equations are:

slope-intercept: y=\frac{-4}{5} x-\frac{2}{5}

point-slope: y-2=\frac{-4}{5} (x+3)

8 0
2 years ago
Four more than the quotient of a number and 3 is 2
Arturiano [62]

Answer:4+x/3=2

Step-by-step explanation:

4 more=4+

the quotient of a number and 3= x/3

the anwser = =2

6 0
3 years ago
What’s the missing angle.<br><br> Brainliest if your correct
stellarik [79]

<u>We are given:</u>

We know that the sum of all interior angles of a Pentagon is 540°

we are given 4 out of the 5 angles

<u>Solving for x:</u>

since the sum of all 5 angles is 540°:

75 + 130 + 135 + x + 90 = 540

x + 430 = 540

x = 540 - 430

x = 110°

6 0
2 years ago
The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches
Irina-Kira [14]

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

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L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20

7 0
3 years ago
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