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ikadub [295]
3 years ago
7

Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de

cimal than in the given radius. 4.6 inches C =
Mathematics
2 answers:
Natali5045456 [20]3 years ago
5 0
C = 2 x 3.14 x 4.6
C = 28.89 

answer 
C = 28.89 in
rosijanka [135]3 years ago
4 0

Answer: 28.89 \text{ inches}

Step-by-step explanation:

We know that formula to calculate the circumference of a circle is given by :-

\text{Circumference}=2\pi r, where r is the radius of the circle.

Given: The radius of the circle : d=\ 4.6\text{ inches}

Then , the circumference of a circle is given by :-

\text{Circumference}=2(3.14) (4.6)\approx28.89 \text{ inches}

Hence, the  approximate circumference of a circle with diameter equal to 8 ft = 28.89 \text{ inches}

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Solve the system using substitution method <br> 3x+y=6<br> 2x-4y=10
Andreyy89
\left\{\begin{array}{ccc}3x+y=6&|-3x\\2x-4y=10\end{array}\right\\\\\left\{\begin{array}{ccc}y=6-3x\\2x-4y=10\end{array}\right\\\\substitute\ y=6-3x\ to\ the\ second\ equation\\\\2x-4(6-3x)=10\\\\2x-4\cdot6-4\cdot(-3x)=10\\\\2x-24+12x=10\\\\14x-24=10\ \ \ |+24\\\\14x=34\ \ \ \ |:14\\\\x=\dfrac{34}{14}\to x=\dfrac{17}{7}\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-3\cdot\dfrac{17}{7}=6-\dfrac{51}{7}=\dfrac{42}{7}-\dfrac{51}{7}=-\dfrac{9}{7}

\boxed{\left\{\begin{array}{ccc}x=\dfrac{17}{7}\\\\y=-\dfrac{9}{7}\end{array}\right}
5 0
2 years ago
Read 2 more answers
4. Write an equation for the line that is parallel to the given line and that passes
pentagon [3]

Answer:

y=\frac{5}{2}x-14

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

y=\frac{5}{2}x-10

In the given equation, \frac{5}{2} is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of \frac{5}{2}. Plug this into y=mx+b:

y=\frac{5}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=\frac{5}{2}x+b

Plug in the given point (-6,-29) and solve for b

-29=\frac{5}{2}(-6)+b

Simplify -6 and 2

-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b

Add 15 to both sides to isolate b

-29+15=-15+b+15\\-14=b

Therefore, the y-intercept is -14. Plug this back into y=\frac{5}{2}x+b:

y=\frac{5}{2}x-14

I hope this helps!

4 0
2 years ago
Calculate the average rate of change over the interval 2
Morgarella [4.7K]

Answer:

Average rate of change over the interval 2<= x <= 5:

y = 3x + 5:        3

y = 3x^2 + 1:     21

y = 3^x:             78

<u />

Step-by-step explanation:

2<= x <= 5

Average rate of change over the interval 2<= x <= 5:

<u>y = 3x + 5</u>

y(5) = 3(5) + 5 = 20

y(2) = 3(2) + 5 = 11

Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>

<u />

<u>y = 3x^2 + 1</u>

y(5) = 3(5^2) + 1 = 75 + 1 = 76

y(2) = 3(2^2) + 1= 13

Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>

<u />

<u>y = 3^x</u>

y(5) = 3^5 = 243

y(2) = 3^2 =9

Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>

8 0
2 years ago
A farmer has 200m of fencing. What is the area of the largest square paddock that could be fenced
zheka24 [161]
As perimeter of a square is 4*x, it means x=Perimeter/4=200m/4=50m.Now area of the square=x^2=50m^2=2500sq. meter.
6 0
2 years ago
A square has an area of 121 square centimetres.<br> What is its perimeter?
Karolina [17]

Answer:

  44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

  s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

  P = 4s = 4(11 cm)

  P = 44 cm

The perimeter of the square is 44 cm.

3 0
1 year ago
Read 2 more answers
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