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2 years ago

Find the circumference of the circle and show work

Mathematics

2 answers:

ch4aika [34]2 years ago

8 0

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$\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Find the circumference of the circle and show work. <u>[refer to</u>

<u>attachment</u>]

$\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}$

Formula for Circumference of a Circle:-

C=πd

Where

C=circumference
π=pi, 3.14
d=diameter, 4 yd

Substitute the values:-

C=4π

On simplification,

$\Longrightarrow$ C=12.6 yards

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Olegator [25]2 years ago

4 0

Circumference (Perimeter)

= diameter * pi

= 4 * 3.14

= 12.56 yd

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Need help with this math problem

Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

$=\frac{Y1-Y2}{X1-X2}$

$=\frac{9-1}{4-16}$

$=\frac{8}{-12}$

$=\frac{-2}{3}$

The question says " Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB $=\frac{-2}{3}$

m= $=\frac{-2}{3}$

We can write, the equation of the target line is

$y=\frac{-2}{3}x + c$

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

$y=\frac{-2}{3}x + c$

$12=\frac{-2}{3}13 + c$

$12=\frac{-26}{3} + c$

$12+\frac{26}{3}=c$

$c= 12+\frac{26}{3}$

$c= \frac{62}{3}$

Replacing the value

the equation of the target line is

$y=\frac{-2}{3}x + c$

$y=\frac{-2}{3}x + \frac{62}{3}$

$3y= -2x + 62$

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is $3y= -2x + 62$

$3(-8)= -2(18) + 62$

$(-24)= (-36) + 62$

$(-24)= 26$

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0

3 years ago

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

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4 years ago

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Which set has the greatest mode?

Bogdan [553]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Michelle is performing the following construction. Based on the markings that are present, what construction is she performing?

IrinaVladis [17]

<h2>Answer:</h2>

B. Bisecting a line segment

<h2>Step-by-step explanation:</h2>

You forgot to include the construction, so I'll explain how to bisect a line. There are several steps you must follow in order to get this problem solved. First, suppose we have a line segment $\overline{AB}$ as shown in the Figure below. If Michelle want to bisect this line segment, she would need to follow these steps:

1. She should choose one end of line segment and place on it.

2. She has to adjust the a bit longer than half the line segment length

4. Next, she must draw two arcs, one of them above and the other below the line.

5. She need to draw arcs from other end of line, but keeping the same compass width.

6. She should draw a line using a ruler where the arcs cross.

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4 years ago

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A dime is 1.25 mm thick. How many meters high would a stack of dimes worth $50 be?

Ira Lisetskai [31]

1.25mm x 50 = 62.5 mm Now lets change mm to meters. There are 1000 millimeters in a meter and we are only talking about 62.5 so we are not even at a single meter. Answers B and C can be eliminated.

meter decimeter centimeter millimeter (each one is ten times more or less than the previous one depending on where you start.
Since we are changing mm to m, we will get fewer. Why - try grouping any small things like 14 days - you get 2 weeks. 72 hours - you get 3 days. Notice that the number gets lower. 14---->2 and 72------->3
So we can expect our number to get smaller. The beauty of the metric system it that is based on 10 so it involves moving decimals and adding or subtracting zeros if needed.
meter dm cm mm
62.5
notice that it would take 3 "jumps" to the left to get it under the word meter. That means our decimal has to move 3 jumps to the left too. In order to do that we need to add a zero in front of the 6 in 62.5
<u>Correct answer is 0.0625 </u> which is none of the answers above - Notice that the decimal is 3 places left from where it was before (62.5).

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4 years ago