The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.

Answer: 196

hope it helped

Answer:

-3

Step-by-step explanation:

:)

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Calculate the circumference and area of given triangle.

Circumference of circle = 2πr

Area of circle = πr²

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

Answer: 17 seconds

Step-by-step explanation:

Here's the complete question:

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

First, we find the constant of proportionality which will be:

y = kx

where y = Distance; x = time

264 = 11k

k = 264/11

k = 24

The time in seconds the toy robot moves when the total distance is 408 centimeters will be:

y = kx

408 = 24x

x = 408/24

x = 17

Answer:

17 secs

Step-by-step explanation:

Answer:

600/100 X 108.25= 649.5

600/100 X 113 = 678

678 - 649.50 = 28.50

$28.50

Answer: 27.7 millimeters

Step-by-step explanation:

Let the missing leg be represented by x.

We will use Pythagoras formula to solve this. The measure of the missing leg will be:

x² = 37² - 24.5²

x² = 1369 - 600.25

x² = 768.75

x = ✓768.75

x = 27.7

The missing leg is 27.7 millimeter

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

Answer:

*give credit to Desmos

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

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,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3

Step-by-step explanation:

25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.

26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.

27) Substitute those two points into the formula equation y=mx+b and solve for b

28) Solve for the slope and then solve for b by substituting

29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates

30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates

Hopefully I was able to help

Answer:

Explanation thing

Step-by-step explanation:

The larger the angle, the farther the opposite side is .  (For example, the angle representing Dallas shows the rank of distance from Abilene and Austin)

Answer:

4th option

Step-by-step explanation:

Answer:

Therefore, x = 4 and y = -2.

Step-by-step explanation:

The steps are ;

[tex]8x + 14y = 4[/tex]

[tex]2(4x + 7y) = 4[/tex]

[tex]4x + 7y = 2 - - - (1)[/tex]

[tex]6x + 7y = 10 - - - (2)[/tex]

[tex](2) - (1)[/tex]

[tex]6x - 4x = 10 - 2[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

[tex]sub \: x = 4 \: into \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]4(4) + 7y = 2[/tex]

[tex]16 + 7y = 2[/tex]

[tex]7y = - 14[/tex]

[tex]y = - 2[/tex]

Answer:

[tex]y+ 6 = 2 (x-7)[/tex]

Step-by-step explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form ([tex]y-y_1 = m (x - x_1)[/tex]) to write an equation. [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for [tex]x_1[/tex], and -6 for [tex]y_1[/tex].

[tex]y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)[/tex]

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

Answer:

$332.00

Step-by-step explanation:

Answer:

(10,-1)

Step-by-step explanation:

If it shifts right, that means that the x is increasing

5+5 = 10

if it shifts down, that means the y is decreasing

1-2=-1

x= 10 y=-1

(10,-1)

Answer:

i think d or a

Step-by-step explanation:

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer: gtne

Step-by-step explanation:

Answer:

Linear function

Step-by-step explanation:

None of the X values repeat so its Linear

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7

Answer:

2,100

Step-by-step explanation:

Calculation to Estimate the number of fish in the pond.

Estimated Number of fish=420 fish*140 fish/28

Estimated Number of fish=58,800/28

Estimated Number of fish=2,100

Therefore the Estimated number of fish in the pond will be 2,100

The total number of fish in the pond is 2100

Let y represent the total fish in the pond.

The estimated fish in pond can be obtained as follow:

Tagged in pond / Total in pond = captured tagged fish / Captured fish

140 / y = 28 / 420

Cross multiply

y × 28 = 140 × 420

y × 28 = 58800

Divide both side by 28

y = 58800 / 28

y = 2100

Thus, the estimated fish in the pond is 2100

Learn more about estimation:

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Answer:

A

Step-by-step explanation:

A speck of dust is only milimeters large so its A

Answer:

[tex]26\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:

[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].