What is the length of AC if the circumference is 36?

Answer:

Step-by-step explanation:

Let it be:

Then, round to the nearest hundredths:

After rounded it to the nearest hundreds, the number is,

⇒ 2.38

We have to given that,

Round a number 2.382 to the nearest hundreds.

Here, The number is,

⇒ 2.382

Since, Number in thousandth place is, 2

Which is less than 5.

Hence, After rounded it to the nearest hundreds, we get;

⇒ 2.382 ≈ 2.38

Therefore, The solution is, 2.38

Learn more about the rounding number visit:

brainly.com/question/27207159

#SPJ6

Answer:

\(y=\frac{1}{3}x-4\)

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = ? , x = 3 , y = -3, b = -4

Therefore, we substitute the value for the given equation

-3 = m * 3 + (-4)

-3 = 3m - 4

-3+4 = 3m

3m = 1

m = 1/3

Therefore we substitute the value for m and b to the equation of line

y = 1/3x - 4

The solution that makes both expressions true is x = 8.55556 and y = 10.31746.

To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.

We can start by using the first equation to solve for x:

2x + 7x = 77

Combining like terms:

9x = 77

Dividing both sides by 9:

x = 8.55556 (rounded to six decimal places)

Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:

5x + 7y = 115

Substituting x = 8.55556:

5(8.55556) + 7y = 115

Simplifying:

42.7778 + 7y = 115

Subtracting 42.7778 from both sides:

7y = 72.2222

Dividing both sides by 7:

y = 10.31746 (rounded to six decimal places)

For similar questions on expressions

https://brainly.com/question/1859113

#SPJ11

John's second month's interest, given his starting principal and the interest rate, is $13.48

First, find the monthly interest rate as the savings account is compounded monthly:

= 10% / 12 months per year

= 10/12 %

The amount after the first month would be:

= 1, 604 x ( 1 + 10/12%)

= $1, 617.37

The second month's interest to John is therefore:

= 1, 617. 37 x 10/12%

= $13.48

In conclusion, in the second month of his savings investment, John would make an interest of $13.48.

Find out more on interest at https://brainly.com/question/19842121

#SPJ1

Answer:

i think the train would travel 3.125 in 1/2 an hour

Step-by-step explanation:

The statement which is true about the given system of equations as required is; The system of equations represents parallel lines.

As evident in the task content; The two equations given are;

y = 3x + 9 and y = 3x - 4

By comparison with the slope-intercept form equation of a line; y = mx + c;

The slope of both equations are equal while the y-intercepts are different.

Ultimately, the system of equations represents a pair of parallel lines.

Read more on parallel lines;

https://brainly.com/question/28007342

#SPJ1

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer: 27m

Step-by-step explanation:

Answer:

\(25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you\)

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

In the given figure, the measure of the central angle CAD is 80°, the major arc is arc CBD, and minor arc is arc CD. The measure of arc BEC is 2.27r and that of arc BC is 0.87r.

About the Central Angle:

An angle formed by two radii of a circle is known as a central angle. Thus, arc BC and arc CD both subtends central angles at the center.

Since BD is the diameter of the circle,

∠BAC + CAD = 180°

It is given that ∠BAC = 100°

⇒ ∠CAD = 180° - 100°

⇒ ∠CAD = 80°

About Major Arc:

The arc which subtends an angle greater than 180° at the center, is called a major arc.

Angle subtended by arc BEC = 360° - m(arc CD)

= 360° - 80°

= 280° > 180°

∴ Arc BEC is the major arc

About Minor Arc:

The arc which subtends an angle less than 180° at the center, is called a minor arc.

⇒ Arc CD is the minor arc.

Calculating arc BEC and arc BC:

Let us assume the radius of the circle is r.

Then, the formula of the measure of an arc is given by,

θ × (π/180) × r

Here, θ is the angle ( in degrees) subtended by the arc at the center.

Arc BEC = 260 × (π/180)r  ......... [Put π = 3.14]

= 2.27r

Similarly, arc BC = 100 ×(π/180) × r .......... [Put π = 3.14]

= 0.87r

Learn more about an arc here:

https://brainly.com/question/16930503

#SPJ1

Answer:

y= -1/3x + -5

Step-by-step explanation:

y= mx + b

b= y-intercept, which is -5. (x-value where the lines goes through the y-axis)

To find the slope, you take the

Change of y/ Change of x

Take two points (I did, (0,-5) and (3, -6) ).     (x,y)

-6 - (-5)= -1

3 - 0= 3

-1/3= m

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

the answer is D because all of the other ones are completely different expressions. but D is the expression that's in the problem, except they combine 6x and 7x because they're like terms

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is D because you want to add the same variables together (6x+7x) to simplify. and you would leave the 5 alone because it does not have the same variable.

Answer:

D 13x+5

n = 3

i'm not sure if the x was a typo, but n is 3

7/9 - 1/9 = 6

6 = 2n

6 divided by 2 is 3

Answer:

Pls read the whole thing so you can understand how i solved it (PS it's not actually that hard)

Step-by-step explanation:

Ok so I suck at word problems loll but we just have to dissect the equation piece by piece to understand it. So, let's separate the word problem into groups:

A volunteer group picked up 3 times as many plastic bottles as cans in their community.

3(plastic bottles) x ____(cans)

The number of papers they picked up was 15 more than 14 of the number of cans. (*P.S. More than means add)

15 + 14 (more than cans)

If the volunteers picked up 288 cans, how many more plastic bottles than papers did they pick up?

288 cans

Okay, now that we know how many cans we have, we can solve the equation. First,

3(pb) • 288(c) = 864 (plastic bottles)

Second,

15 + 14 = 29 (*So, 29 more papers than cans were picked up)

Third(and final -phew),

How many more plastic bottles than papers? Okay, don't freak out- this is just a two-step solution.

There were 29 more papers than cans picked up, and how many cans were picked up? 288.

288 + 29 = 317 (*That means 317 papers were picked up)

We already solved how many plastic bottles were picked up, so we're almost done. 864 plastic bottles were picked up, remember?

864(pb) - 317(p) = 547

And so, your answer issssss *drumrolls*

547 more plastic bottles than papers were picked up!

The measure of <1 is 31°.

Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.

In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;

<2 = 31° (given)

So that;

<1 = <2 = 31°

Thus,

<1 = 31°

Therefore, it can be concluded that the measure of <1 is 31°.

Learn more about vertical angles at https://brainly.com/question/29790668

#SPJ1

Answer:

The barber braided Eleven's hair

Step-by-step explanation: passive voice i think

Answer:

C. 5 inches

Step-by-step explanation:

I’m area you have to multiply L • W

But since we don’t know the width we can divide the length by the area.

40/8 = 5

So the answer would be 5.

Another way to solve this problem is with using guess and check.

I hope it helps! Have a great day!

Anygays~

Answer:

C. 5 inches

Step-by-step explanation:

Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.

40/8 = 5

ANSWER: 5 inches

I hope it helps! Have a great day!

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

Learn more on inequality graph here: https://brainly.com/question/24372553

#SPJ1

Answer:

Yes, Dayson can completely cover the package with wrapping paper.

Step-by-step explanation:

Given: The rectangular prism is 50 centimeters by 20 centimeters by 18 centimeters.

Area of wrapping paper is 1 square meter.

To find: whether he can completely cover the package with wrapping paper

Solution:

Total surface area of the rectangular prism = 2(lb + bh +hl)

where l denotes length, b denotes breadth and h denotes height

Total surface area of the rectangular prism = \(2\left [ (50)(20)+(20)(18)+(18)(50) \right ]\)

\(=2\left ( 1000+360+900 \right )\\=2(2260)\\=4520\,\,cm^2\)

As \(1\,m^2=10000\,cm^2\),

Total surface area of the rectangular prism = \(4520\,cm^2=0.4520\,m^2\)

As Dayson has \(1\,m^2> 0.4520\,m^2\) of wrapping paper, he can completely cover the package with wrapping paper.

It would cost an employee $443.52 to purchase one of these laptops at the sale.

The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.

Cost price = Selling price - 20% of cost price

Cost price = 720 - 20% * 720 = $576

At the release, the laptops are at 23% off the store's cost. Hence:

Price of laptop at release = 576 - 23% of 576

Price of laptop at release = $443.52

It would cost an employee $443.52 to purchase one of these laptops at the sale.

Find out more at: https://brainly.com/question/20286603

Answer

one solution

Step-by-step explanation:

because i said it was or do you really need the step by step?

The system of equation has one solution.

Simultaneous equations are any equations with the same number of unknowns that may be solved at the same time. The system of equations is a simultaneous equation.

Given system of equation,

y = 2x - 3       {equation 1}

y = 4x - 3             {equation 2}

We will solve the system of equation by using the elimination.

Subtract the equation 2 to equation 1,

2x = 0

x = 0

And y = -3

The system has one solution (0 , -3).

Therefore, the system of equation has unique solution.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ2

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

532

497

424

942

865

456

922

676

446

432

The two points of tangency are (-1,3) and (1,-3).

What is the equation of a tangent to the circle?

The equation of a tangent to a circle is a linear equation that describes a line that touches the circle at exactly one point, without crossing it. A tangent line is perpendicular to the radius of the circle at the point of contact.

Since the line T is tangent to the circle, the radius of the circle drawn to the point of tangency (-1,3) is perpendicular to the line T. Therefore, the center of the circle must lie on the line perpendicular to T at (-1,3).

The equation of the tangent line T can be found by taking the derivative of the equation of the circle and evaluating it at the point of tangency (-1,3):

2x + 2y(dy/dx) = 0

dy/dx = -x/y

At the point (-1,3), dy/dx = -(-1)/3 = 1/3. Therefore, the equation of the tangent line T is:

y - 3 = (1/3)(x + 1)

y = (1/3)x + 10/3

The slope of any line perpendicular to T is -3 (the negative reciprocal of 1/3). The point-slope form of the equation of a line with slope -3 passing through (-1,3) is:

y - 3 = -3(x + 1)

y = -3x

To find the points of tangency, we need to solve the system of equations consisting of the equation of the circle and the equation of the tangent line:

x² + y² = 10

y = -3x

Substituting y = -3x into the first equation, we get:

x² + (9x²) = 10

10x² = 10

x² = 1

x = ±1

Substituting these values of x into y = -3x, we get:

(-1,3) and (1,-3)

Therefore, the two points of tangency are (-1,3) and (1,-3).

To learn more about the equation of the tangent to the circle, visit:

https://brainly.com/question/30760562

#SPJ1

Answer:

78

Step-by-step explanation:

Arc GHJ is 81*2= 162 (the arc measure of an inscribed angle that does not cross the center of the circle is 2 times the measure of the angle

since arc GH is 84 and we need HJ, subtract 84 from 162=78