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Answer/Step-by-step explanation:

Problem 1:

Radius = 4.8 cm

Height = 6 cm

Volume of cylinder (V) = πr²h

Plug in the values

V = π*4.8²*6 = 434.29 cm³

Problem 2:

Length of pipe = 26 cm

Internal diameter = 6.5 cm

Thickness = 0.5 cm

Pipe volume (V) = π(R² - r²)h

where,

R = Outer radius = ½(6.5) + 0.5 = 3.75 cm

r = inner radius = ½(6.5) = 3.25 cm

h = height = 26 cm

Plug in the values

V = π(3.75² - 3.25²)*26 = 285.88 cm³

Problem 3:

Volume the cylindrical paint can hold = 2.5 litres = 2.5*1000 = 2,500 cm³

Height (h) = 16 cm

Radius (r) = ??

Volume of cylindrical can (V) = πr²h

Plug in the values

2,500 = π × r² × 16

2,500 = 16π × r²

Divide both sides by 16π

2500/16π = r²

49.7 = r²

Take the square root of both sides

√49.7 = r

r = 7.05 cm (nearest hundredth)

Problem 4:

The section of the guttering is ½ of a cylinder

Diameter = 14 cm = 0.14 m

Radius = ½(0.14) = 0.07 m

Volume = 20 litres = 0.02 m³

Length (h) = ??

Volume of the guttering = ½(volume of cylinder) = ½(πr²h)

Plug in the values

0.02 = ½(π*0.07²*h)

0.02*2 = 0.0049π*h

0.04 = 0.0049π*h

Divide both sides by 0.0049π

0.04/0.0049π = h

2.6 = h (nearest tenth)

Length = 2.6 m

Problem 5:

Height of the smaller cylinder (h) = 13 cm

Radius of the smaller cylinder (r) = ½(7) = 3.5 cm

Volume of smaller cylinder = πr²h = π × 3.5² × 13 = 500.3 cm³

Volume of larger cylinder filled to a height of 5 cm = Volume of smaller cylinder

Thus:

Volume of cylinder filled to height of 5cm = 500.3 cm³

height (h) = 5

radius (r) = ???

Therefore,

500.3 = π × r² × 5

500.3 = 5π × r²

500.3/5π = r²

31.9 = r²

√31.9 = r

r = 5.6 cm (nearest tenth)

Answer:

x-(4+x)

Step-by-step explanation:

x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)

Answer:

You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.

Step-by-step explanation:

Explanantion is in answer.

I know it's sloppy but here's mine!

Answer:

1 and 1/3

Step-by-step explanation:

The absolute value means that you have a positive sign no matter what the value is. It is the distance in units from 0 on the number line to the point in question.

The number line is laid out in 1/6. Each tick is 1/6. Since the point is at 1 and 2/6, we have to reduce the fraction.  In 2/6 you can divide the bottom and top by 2 to reduce the fraction.

2 divided by 2 = 1

6 divided by 2 = 3

Therefore the 2/6 reduces to 1/3

You already know you had a 1, so you add 1/3 and it is 1 1/3.

Step-by-step explanation:

I think its 85in as the area.

Answer:

382

Step-by-step explanation:

Answer:

? = 45º

Step-by-step explanation:

top right angle = 180-45 = 135º

high middle left angle = 135º

high middle right angle = 45º

low middle left angle = 45º

low middle right angle = 135º

bottom left angle = 135º

bottom right angle = 45º

Answer:

5 or [tex]\frac{5}{1}[/tex]

Step-by-step explanation:

In the formula y = mx + b, m stands for slope and b stands for y- intercept!

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

Answer: The answer is -4. Hope this helps!

Answer:

(3x+2)/(x-2)=7/5

5(3x+2)=7(x-2)

15x+10=7x-14

15x-7x=-14-10

8x=-24

X=-24/8

X=-3

Answer:

Step-by-step explanation:

The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.

1/52 is the probability for the first card.

1/51 is the probability for the second card.

They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.

Step-by-step explanation:

The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.

The likelihood of getting the first card is 1/52.

The odds of getting the second card are 1/51.

They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.

Answer:

a. Only the x-value is given.

Step-by-step explanation:

Taking a look at the graph of both equations, both equations are graphed correctly, because the slope (m) and y-intercept (b) values corresponds of each equation corresponds with what we have on the graph representing each equation.

The solution of two linear equations ought to be in a coordinate pair, (x, y). This means the x-value and it's correaponding y-value of the solution needs to be stated, not just the x-value.

Thus, the correct solution. Of the two linear equations are x = 4, when y = 3.

Solution in coordinate pair form is (4, 3).

Therefore, the statement that describes the error is:

a. Only the x-value is given.

Answer:

equation: 9x+6=60

solution: 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6×9=54

54+6+=60

Answer:

0

Step-by-step explanation:

Slop of the line=y1-y2/x1-x2

Where x1,y1 point (-3,-4)

And X2,y2 point (2,-4)

So slop= (-4+4)/(-3-2)

=0/-5

So slop is 0

The question is incomplete. The complete question is :

The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state.

Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 25 if 25% of the population in this age bracket has this health problem?

Solution :

Chronic heart disease is a condition where a person's heart have trouble to pump blood to the body. It develops over a period of time.

In the context, we can see from the figures from National Center for Health Statistics that the expected number of persons of age 65 - 74 years having a chronic heart disease is about

25 % of 25 = 6.25

Now by Poisson's ratio, the probability of choosing the sample where only one person having heart disease is 1.4%

Answer:

The answer is 10080

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1

=5+10029+12+34

=10080 answer

Answer:

n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex]   OR   n =0.09953...

Explanation:

I don’t know if my answers are an option for you, but the following pictures show the explanation of it.

Hope this helps and answers you question :)

Answer:

x = -4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

Answer:

The parenthesis go around the 12 and 6, just like this. (12 - 6)

Answer- 2 + 36 ÷ (12-6)

Answer:

[tex]x=9.91098[/tex]

General Formulas and Concepts:

Pre-Alg

PreCalc

Step-by-step explanation:

Step 1: Define

A = 15°

a = 7.5 mi

B = 20°

b = x

Step 2: Solve for x

Answer is this:

1.04                      

14

Divide 98 by 7, you get 14.

This is how many starburst are in each packet.

Answer:

not me because its not my color

Answer:

x-2(6x^2-4.4x-6.5-3) I believe.

Answer:

5/6

Step-by-step explanation:

to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6

(13−0)

           = 10/13

(10−0)

​13,10

Slope of the given line is [tex]\frac{10}{13}[/tex] and the equation of the line is [tex]10x - 13y = 0[/tex].

The slope of a line(m) that passes through points (x, y) and (x, y) is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}}[/tex]

The given line passes through points (0, 1.3) and (0, 1).

Therefore, slope of the line is

[tex]m = \frac{y_{2} - x_{1}}{x_{2} - x_{1}} = \frac{1 - 0}{1.3 - 0} = \frac{10}{13}[/tex]

Now, the line passes through the point (2.6, 2).

Putting this equation in slope-intercept form, we get:

[tex]2 = \frac{10}{13}(2.6) + c\\c = 2 - 2\\c = 0[/tex]

The equation of the line will be:

[tex]y = \frac{10}{13}x\\10x - 13y = 0[/tex]

Learn more about slope of a line here: https://brainly.com/question/21504186

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