Explain why the graph shown may be misleading.

Answer:

18.65 cm

Step-by-step explanation:

the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".

so, two equally sized circle areas and the side area.

this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.

that is also why we need the cylinder height to get its surface area (and also volume by the way).

circle area : pi × r²

rectangle area : length × width

cylinder surface area = 2 circle areas + side rectangle area

=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h

=> 1800 = 200×pi + 20×pi×h

=> (1800 - 200×pi) = 20×pi×h

=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm

Answer:

[tex] \displaystyle x \approx 47.44[/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out x i.e hypotenuse

in order to do so we can consider trigonometry i.e sin

remember that,

[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]

given that,theta=21° and opp=17 and hypo=x

Thus substitute:

[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]

cross multiplication:

[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]

divide both sides by sin21°:

[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]

By using calculator we acquire:

[tex] \displaystyle x \approx 47.44[/tex]

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

Answer: 10 mph

Step-by-step explanation:

Answer:

sorry, but I think u got yr question incomplete.

u can re post it with figure

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

Answer:

2 2/3

Step-by-step explanation:

4 × 2/3

4/1 × 2/3

8/3

2 2/3

The answer is 2 2/3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup,

she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread

now, we get,

4 × 2/3

=4/1 × 2/3

=8/3

=2 2/3

hence, The answer is 2 2/3.

To learn more on multiplication click:

brainly.com/question/5992872

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Answer:

0.21

Step-by-step explanation:

Move the decimal two places to the left.

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Answer:

C.

Step-by-step explanation:

Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

Answer: 8

Step-by-step explanation:

2 cups = 16

Half of the 16 is 8

40÷95= 0.42

so I would say about 42.1%

><

Answer:

I would say the first one

Step-by-step explanation:

The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.

Answer:

number 4

Step-by-step explanation:

count onn me

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Answer:

The ratio of student to teacher is 12.3 to 1

Answer:

It has no solution.

Step-by-step explanation:

6x + 3 + 4x = 9 + 10x

10x + 3 = 9 + 10x

10x + 3 - 3 = 9 - 3 + 10x

10x = 6 + 10x

10x - 10x = 6 + 10x - 10x

0 ≠ 6

It has no solution.

Answer:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

Answer:

y=x+12-10

Step-by-step explanation:

0=x+12-10

-x=2

x=-2

The possible rational roots are (a) ±3, (b) ±1, (e) ±5

The polynomial function is given as:

f(x) = 5x^2 - 3x + 3

Take the factors of the first term and the last term

5 = 1, 5

3 = 1, 3

The rational root is then calculated using:

Roots =±(Factors of 3)/(Factors of 5)

This gives

Roots =±(1, 3)/(1, 5)

Solve the expression

Roots = ±1, ±3/5, ±1/5, ±3

Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5

Read more about rational roots at:

https://brainly.com/question/17754398

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Answer:

No

Step-by-step explanation:

Meters per second is how many meters in one second

meters/second is meters divided by one second

Hope this helps you understand better!

It is the same but the teacher may be trying to get you to put it that way for future math problems.

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Answer:

X+2=2x

x+8=8x

(2x).(8x)=16x

Answer: 0

Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.

9514 1404 393

Answer:

  C.  26

Step-by-step explanation:

The two marked angles are "vertical angles." They are congruent.

  x +20 = 3x +8 . . . . . congruent angles have the same measure

  12 = 2x . . . . . . . . . subtract x+8 from both sides

  6 = x . . . . . . . . . divide by 2

  ∠PTQ = (x+20)° = (6+20)° = 26°

Answer:

Solutions given:

we have

<RTS=PTQ[vertically opposite angle are equal]

so

3x+8=x+20°

3x-x=20-8

2x=12

x=12/2=6

x=6

m<PTQ=6+20=26°

option c.26.