Find the volume of the cylinder. Round your answer to the nearest hundredth of a cubic meter. The radius is 3m and the height is 6m. What is the volume?

Answer:

volume of square based prism = a²h

therefore

150 in³ = x²y

y = 1.5x

150 = 1.5x³

100 = x³

x = ³√100 ≈ 4.64 in

y = 1.5x ≈ 6.96 in

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Dos triángulos son similares si cumplen uno de los siguientes criterios. : Dos pares de ángulos correspondientes son iguales. : Tres pares de lados correspondientes son proporcionales. : Dos pares de lados correspondientes son proporcionales y los ángulos correspondientes entre ellos son iguales.

Step-by-step explanation:

Answer:

i don't know that language sorry

Step-by-step explanation:

Answer:

16.33 cm

Explanation :

The formula to find the circumference is 2πr where r is the radius. The problem above gives the diameter so we must divide it with 2 first before we proceed.

Correct me if I'm wrong. I hope it helps.

Answer:

16.328m is answer

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Answer:

the answer is 2304

Step-by-step explanation:

8×8=64

64×36=2304

Answer:

Option 2

Step-by-step explanation:

10:28 plus 47 is 11:15

Answer:

B

Step-by-step explanation:

B...............................

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The statement about rectangles and rhombuses that is always true is that both figures are quadrilaterals.

A quadrilateral is a closed, two-dimensional shape which has four straight sides.

In other word, a quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

Quadrilateral has four sides.

Rhombuses and rectangles have four sides. Therefore, they are both quadrilaterals.

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Answer:

34

Step-by-step explanation:

1. look at XV, and see that it equals 32 altogether.

WX is doubled the amount of WV. So it would be the same pattern on the other side.

2. 17*2=34

You might notice that 17-9=8, so wouldn't 34-16 be 8 as well. Nope, it would be doubled just like WX is doubled the amount of WV.

Answer:

8 months and $320

Step-by-step explanation:

To find when 30m + 80 = 40m, isolate m.

30m + 80 = 40m

Subtract 40m from both sides.

-10m + 80 = 0

Subtract 80 from both sides.

-10m = -80

Divide both sides by -10

m = 8

To find the cost, substitute 8 as m in one of the equations.

40(8) = 320

Answer:

-|7|, |4|, |2-9|, |6+4|

Step-by-step explanation:

I think this is correct

Answer:

Hi! The answer to your question is the range is 23

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62-39=23

VOCAB:

Minumum Data = Smallest Number

Maximum Data = Largest Number

Data Range = The set of y-values that a function passes through, Also the right coordinate in a coordinate pair.

In statistics, the difference between the largest number and the smallest numbers in a data set.

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Hope this helps!!

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Answer:

336 cm²

Step-by-step explanation:

rectangle area:

b×h = 24×7,5=180 cm²

" " = 6,5×24=156 cm²

total area: 180+156=336 cm²

Answer:

B 18.79

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A translation of 5 units to the right, followed by a reflection across the x axis.

Answer:

Step-by-step explanation:

y=x^2-8x+14

To write in vertex form, group the two x-terms to make a complete square, adjust the constant term accordingly

y = x^2-8x+16  -2

factor the first three terms on the right hand side

y = (x-4)^2 -2

This means that the vertex is at x-4 = 0, or x=4, and y=2.

Answer: [tex]1716\ \text{ways}[/tex]

Step-by-step explanation:

Given

10 people board an airplane that has 13 aisle seats

No of ways of arranging r things out of n things is given by [tex]^nP_r[/tex]

Put the value of n and r as 13 and 10.

[tex]\Rightarrow ^{13}P_{10}=\dfrac{13!}{(13-10)!}\\\\\Rightarrow ^{13}P_{10}=\dfrac{13\times 12\times 11\times 10!}{10!}\\\\\Rightarrow ^{13}P_{10}=1716\ \text{ways}[/tex]

Answer: False and x = sqrt(10^2 - 6^2) km

Step-by-step explanation:

1. False

2.Use Pythagoras theorem. The distance between the cars, 10km, is the hypotenuse of a right angled triangle, one leg of which is 6km and the other of which is, say, x km

x = sqrt(10^2 - 6^2) km.

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Answer:

I do believe that it is Option B

(Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.)

Step-by-step explanation:

This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.

In null-hypothesis significance testing, the p-value is the probability of obtaining test results at least as extreme as the result actually observed, under the assumption that the null hypothesis is correct.

here, we have,

Given data in the question:

To test whether population proportion p is overstated;

Null hypothesis H₀ : p = (75%) = 0.75  

Alternative hypothesis H₁ : = < (75%) < 0.75

Now, sample proportion p" = 64 / 100 = 0.64

From the dot plot below,

we will determine the p-value for test { P(p" < 0.64)}

The number of times p"<0.64 in 150 simulations is 5

Therefore:

P(p" < 0.64 ) = 5 / 150 = 0.0333

P-value = 0.0333

At 5% level of significance;

0.0333 < 0.05

Therefore, we reject null hypothesis H₀ at 5% level of significance,

We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.

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complete question:

A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.

Answer:

Hi, there the answer is Graph A because the y-intercept and I did rise over run

Step-by-step explanation:

Hope this helps :)

I guess so 35 ft or more than it

Answer:

Not really no

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

There is a little over 1 gallon

Step-by-step explanation:

Answer:

∠ G ≈ 8.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then

∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )

Answer:

84 cm²

Step-by-step explanation:

3 x 4 x 0.5 = 6

3 x 4 x 0.5 = 6

3x 6 = 18

5 x 6 = 30

4 x 6 = 24

add up = 84

Answer:

[tex] \frac{108}{2 } = 54[/tex]

The value of y for the given circle will be 54°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

In our daily life, we always see circle objects for example our bike wheel.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

In the given question by the circle theorem that if a curve makes a 2x angle then the extreme point will make the angle on circle as x.

So angle y = half of angle 108°

∠Y = 108°/2 = 54°

Angle w will also same as 54° because it also satisfies the theorem of the circle.

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Answer:

[tex]y=\frac{4}{3}x -8[/tex]

Step-by-step explanation:

So first find the slope of the given line

-2 - 4 = -6

4 + 4 = 8

-6 ÷ 8 = [tex]-\frac{3}{4}[/tex]

The slope of a line perpendicular to another line is the opposite reciprocal of the given slope.

The opposite reciprocal of [tex]-\frac{3}{4}[/tex] is [tex]\frac{4}{3}[/tex]

So now all we need to finish the slope intercept form y = mx + b is b, which is the y intercept.

[tex]y=\frac{4}{3}x+b[/tex]

Now that they give us the X intercept, you can plug in the values (6, 0).

[tex]0=8+b[/tex]

b = -8

Answer:

Siswe

Step-by-step explanation:

[tex]\frac{1}{3} = \frac{4}{12}\\\\\frac{1}{4} = \frac{3}{12}\\\\\frac{5}{12} =\frac{5}{12}[/tex]

Answer:

siswe gets more juice

Step-by-step explanation:

i hope this helps

The total mass of 5 x 10³ microorganisms is  1.2 x [tex]10^{-2}[/tex].

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Mass of an organism = 2.4 x [tex]10^{-6}[/tex] grams

The total mass of 5 x 10³ microorganism.

= 5 x 10³ x 2.4 x [tex]10^{-6}[/tex]

= 12.0 x [tex]10^{3 - 6}[/tex]

= 12 x [tex]10^{-3}[/tex]

= 1.2 x [tex]10^{-2}[/tex]

Thus,

The total mass is 1.2 x [tex]10^{-2}[/tex]

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Answer:

158 inches squared

Step-by-step explanation:

I am calling them Inches instead of centimeters because the image only shows inches as the unit.

To find the surface area, you need to add up all the rectangles' areas ([tex]lw[/tex]) shown to get the sum surface area.

Sides A & D: [tex]5 * 8 =40[/tex]

Sides B & F: [tex]3 * 8 =24[/tex]

Sides C & E: [tex]3 * 5 = 15[/tex]  (You get 5 inches from the edges, if you fold it into a rectangular prism, the side would have dimensions of 3x5.)

Then, you add all of the sides together.

[tex]A(40)+D(40)+B(24)+F(24)+C(15)+E(15)\\= 158[/tex]

Your total surface area would be 158 in.