Find the circumference and area of the figure If each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, If necessary.

Answer:

Step-by-step explanation:

148 people

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Triangles A and triangle E is the right angle triangle, and triangles B, C, and D are not right-angle triangles.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know the Pythagoras theorem:

\(\rm Hypotenuse^2= perpendicular^2+base^2\)

Applying in Pythagoras theorem in the triangle A:

\((\sqrt{5})^2= (\sqrt{3})^2 +(\sqrt{2} )^2\)

5 = 5

Triangle A is the right-angle triangle.

For triangle B:

(√5)² = (√4)²+ (√3)²

5 ≠ 7

Triangle B is not the right-angle triangle

Similarly for triangle C:

16 + 25 ≠ 36

Not a right-angle triangle

For  triangle D:

25 + 25 ≠ 49

Not a right angle triangle

For triangle E:

100 = 36 + 64

It is a right-angle triangle.

Thus, triangles A and triangle E is the right angle triangle, and triangles B, C, and D are not right-angle triangles.

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b equal for the top of the bookcase to have the correct area= 5 cm2

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

L × b = 300

b = 300 / L

b = 300 / 60 = 5

Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.

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Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

\(33.55 <  \mu < 35.5\)

b

\(34.03 <  \mu < 34.969 \)

c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  \(\= x  =  34.5\)

    The standard deviation is  \(s =  3.4\)

Generally given that the confidence level is 95% then the level of significance is  

       \(\alpha = (100 -  95)\%\)

=>     \(\alpha = 0.05 \)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{49} }\)

=>   \(E =  0.952 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.952 <  p < 34.5 + 0.952\)

=>    \(33.55 <  \mu < 35.5\)

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{196} }\)

=>   \(E =  0.4687 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.4687 <  p < 34.5 +0.4687\)

=>   \(34.03 <  \mu < 34.969 \)

Considering question c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

Answer:

36 more elves

Step-by-step explanation:

90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.

0.25 * 144 = 36

36 more elves can fit.

Answer:

36 elves

Step-by-step explanation:

Hope this helps

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

Answer:

18cm

Step-by-step explanation:

because i found it lol

Answer:

statistical parameter

Step-by-step explanation:

In this scenario, Brian Vanecek is using a statistical parameter also known as a population parameter. This is the best explanation to what Brian is using since he is calculating the average waiting time based on the information gathered from a randomly selected sample of the population. Since this sample was random it exemplifies the entire population and therefore allows for the data to be generalized to that population. Using the statistics gathered he can calculate the average waiting time as a statistical parameter of the population.

Order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

As given in the question,

Given expressions are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12},\\\\\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}\\\\\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} \\ \\\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}\)

Arrange them in the order of smallest to largest by simplifying them,

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}= \frac{2+4}{24-12\\}\)

          = 0.5

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12}= \frac{4+\sqrt{2} }{12}\)

          =0.45

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} = \frac{2+4}{-48}\)

           = -0.125

\(\frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)}= \frac{4+\sqrt{2} }{-48}\)

            = -0.1128

-0.125 < -0.1128 < 0.45 < 0.5

Therefore, order of the given expression into smallest to largest are as follow:

\(\frac{ \sqrt{\frac{8}{2} } +4 }{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times (4-12)} < \frac{ \frac{\sqrt{8} }{2} +4}{6\times 4-12} < \frac{ \sqrt{\frac{8}{2} } +4 }{6\times 4-12}\)

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Answer:

it's the 3rd one

Step-by-step explanation:

and. did you just assume my gender?

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

We can use algebraic equations to solve this kind of problems. The correct answer is 50.00( 0.25p+ 1.00). So option number 3 is correct.

The cost of printing a single page = 0.25

The cost of printing p pages = 0.25p

Cost of print 50 booklets with p pages = 50× 0.25p = 12.50p

Cost of binding 1 booklet = $1

Cost of binding 50 booklet = 50

Cost of  50 booklets = Cost of printing 50 booklets with p pages + cost for binding 50 booklets

   = 12.5p + 50.00 = 50.00(0.25p+1.00)

So the correct answer is the third option , 50.00 ( 0.25p + 1.00)

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The tank holds approximately 994,040 liters.

The volume of a right circular cylinder is given by the formula:

V = πr^2h

Where

The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m

The cylinder is described as having a 6 m length.

These values are substituted into the volume calculation to produce the following result:

V = π(6.5)^2(6)

V ≈ 994.04 cubic meters

Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.

V = 994.04 cubic meters x 1000 liters/cubic meter

V = 994,040 liters

Therefore, the tank holds approximately 994,040 liters.

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Answer:

1- 0.123

2- 0.0745

3- 0.9706

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

16 miles long to work it would be 0 miles shorter

Step-by-step explanation:

8+8 is 16

if the road was just one street it would still be the same distance

I hope this helps. THIS MIGHT BE WRONG though if someone say something else, take a good look at their answer too because the way I did it, seems like it's a little too simple.

Answer:   The distance will be about 11 miles . 2) The man's one way-trip will be 5 miles shorter.

Step-by-step explanation:

If the man  drove east by 8 miles and  North by 8 miles and we want to determine the distance that is directly  from east to north then we will use the Pythagorean Theorem  solve for that distance.

Now since we are solving for the distance directly from his home to work we will be looking for the hypotenuse in this case.

a^2 + b^2 =c^2  where c is the hypotenuse

8^2 + 8^2 =c^2

64 +64 = c^2  

c= \(\sqrt{128}\)  

c =  11.31

  In this case the distance from his home directly to his work will be about 11 miles.

2.   To find out how much shorter the man will travel ,add the east and north distance and subtract 11.31 from it.

8 + 8 = 16

16  - 11.31 = 4.69

Answer:You need help with what problem?

Step-by-step explanation:

Answer:

Do you want me to solve them all or just one or maybe a few.

Answer:

0 ≤ -24 ( can't be true)

Step-by-step explanation:

3(4y+6) ≤ -2(3-6y)

12y + 18 ≤ -6 + 12y

0 ≤ -24

not true ( can't be true)

Answer:

The statement is false for any value of y.

Step-by-step explanation:

3(4y+6) ≤ −2(3−6y)

Step 1: Distribute

12y + 18 ≤ -6 + 12y

Step 2: Cancel out equal terms on both sides

12y + 18 ≤ -6 + 12y

-12y -12y

18 ≤ -6

There is no more y variable.

Therefore the statement is false for any value of y.

Answer:

5.998

Simplified: 6

Step-by-step explanation:

(x+2)*3+87

Step-by-step explanation:

solve by dividing

Answer:1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.

Answer: D

Step-by-step explanation:

Answer: D. Because the P-value is greater than 0.05, the null hypothesis should not be rejected.

The P-value is a measure of the probability of obtaining a sample mean at least as extreme as the one that was observed, if the null hypothesis is true. A P-value of greater than 0.05 means that there is not enough evidence to reject the null hypothesis. Therefore, in this case, the data provides insufficient evidence to conclude that the true mean number of junk emails received this day by employees of this company differs from 100.

The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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The slope of the line AB and XY is different. Then the line AB and XY is neither parallel nor perpendicular. The lines are intersecting line.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are given as,

A(8, 1), B(-2, 7), X(-6, 2), Y(-1, 1)

The slope of line AB is given as

m₁ = (7 - 1) / (-2 - 8)

m₁ = 6 / (-10)

m₁ = - 0.6

The slope of line XY is given as

m₂ = (1 - 2) / (-1 + 6)

m₂ = - 1 / (5)

m₂ = - 0.2

The slope of the line AB and XY is different. Then the line AB and XY is neither parallel nor perpendicular. The lines are intersecting line.

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The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1

The completed proof is presented as follows;

The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.

<FCD = <FCG + <GCE + <ECD by angle addition property <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the subtraction property of equality . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since the ratio of corresponding sides of similar triangles are equal then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the multiplication property of equality to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.

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Answer:

14.75 feet below ground level.

Step-by-step explanation:

90.5-105.25=-14.75

Answer:

\(y=-105x+1300\)

Step-by-step explanation:

Define the variables:

Given information:

Therefore:

\(\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Determine if the equation is linear by calculating the slope between each pair of (x, y) points:

\(\implies \text{Slope}\;(m)=\dfrac{565-1090}{7-2}=-105\)

\(\implies \text{Slope}\;(m)=\dfrac{1090-1300}{2-0}=-105\)

As the slope is the same, the equation is linear.

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

The initial purchase price of the computer was $1,300. So when x = 0, y = 1300.  Therefore, the y-intercept is 1300.  

We have already calculated the slope as -105.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation that models the balance y after x months:

\(y=-105x+1300\)