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Gemiola [76]
2 years ago
8

The radius of a circle is 3 yards. What is the circle's circumference?​

Mathematics
1 answer:
Elden [556K]2 years ago
8 0

Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

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4x square+ 8 x - 5=0<br><img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20-%205%20%3D%200" id="TexFormula1
Damm [24]

Answer:

x = \frac{1}{2}

x = -\frac{5}{2}

Step-by-step explanation:

Solve Using the Quadratic Formula

     4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

    −b ± √b^2 − 4 (ac)

     -------------------------

               2a

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

    −8 ± √82 − 4 ⋅ (4 ⋅ −5)

     -------------------------

              2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

     −8 ± √64 − 4 ⋅ 4 ⋅ −5

x=     ---------------------------

               2 ⋅ 4

Multiply −4 by 4.

        −8 ± √64 − 16 ⋅ −5

x =       -------------------------

                2 ⋅ 4

Multiply −16 by −5.

        −8 ± √64 + 80

x =       -------------------

               2 ⋅ 4

Add 64 and 80.

        −8 ± √144

x =        --------------

             2 ⋅ 4

Rewrite 144 as 12^2.

        −8 ± √122

x =       ------------

            2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4          

        −8 ± 12

x=     ------------

            8

simplify

    −2 ± 3

x=   ---------

        2

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0
3 years ago
Read 2 more answers
The floor plan of a ballroom is shown at the right. The scale is 3 centimeters: 4 meters. what are the length and width of the b
astraxan [27]
Length = 16
Width = 12
Area = 192
3 0
3 years ago
-. A businessman plans to retire in 30 years. As part of his retirement plan, he has
stepladder [879]

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

A = P(1 + \frac{r}{100})^{t}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 8000(1 + \frac{6}{100})^{30}

A = 8000(1 + 0.06)^{30}

A = 8000(1.06)^{30}

A = 8000(5.7435)

A = $45948

7 0
2 years ago
New York City is approximately 205 miles from Washington, D.C. How far apart will these cities appear on a map with the scale 1
gavmur [86]

Answer: 4.1 inches

Step-by-step explanation:

From the question, we are informed that New York City is approximately 205 miles from Washington, D.C.

The distance that these cities will appear on a map with the scale 1 in: 50 miles will be represented by x.

Therefore, x:205 = 1:50

Cross multiply

x/205 = 1/50

50x = 205

x = 205/50

x = 4.1 inches

The answer is 4.1 inches

4 0
3 years ago
What is the slope of the line shown below?
lina2011 [118]

Answer:

m=4

Step-by-step explanation:

BC i just learned this

6 0
3 years ago
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