What is the volume of the cylinder shown below?Use 3.14 as an approximation for π.





A. 314 in³
B. 1,256 in³
C. 5,024 in³
D. 5,625 in³

Answer:

a cylindrical carton of oatmeal with radius 3.5 in. is 9 in. tall. all cardboard, how much cardboard is used to make the oatmeal carton?

Step-by-step explanation:

Answer:

Common denominators of 9 and 2 are 18,36

Step-by-step explanation:

Answer:

[tex]2-3x=6x-7\\x=1[/tex]

(There are a lot more combinations tho. Read more!)

Step-by-step explanation:

The first thing to notice is that the answer has to be a whole number and that there are only 5 spaces.

Another thing to notice is that one of the x's is negative.

So the easiest thing is to set [tex]x=1[/tex].

The we can work backwards. There are multiple solutions that we can use. But any combination that adds to the same number will work.

Such as:

[tex]2-3x=6x-7\\x=1[/tex]

or

[tex]2-5x=3x-6\\x=1[/tex]

And so on.

Answer:

B) 3/5

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[tex]because~of~the~angles\\BC = 3k\\AB = 4k[/tex]

⇒ (AB)² + (BC)² = (AC)²

in which because of AB and BC's values, goes into...

⇒ (4k)² + (3k)² = (AC)²

because of that ↑ you get the values of what is below.

⇒ (AC)² = 16 k² + 9 k²

add 16k and 9k for the result below.

⇒ (AC)² = 25 k²

⇒ AC = ±5k

the sin is the side opposite to the angle, so find the hypotenuse and opposite angle.

[tex]Side~opposite~to~angletheta\\= BC(3k)\\\\Hypotenuse\\= AC(5k)[/tex]

That said →  [tex]sintheta = \frac{BC}{AC} = \frac{3k}{5k} = \frac{3}{5}[/tex]

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Ask in comments.

Answer:

A. They are tossed up and down in clouds

Step-by-step explanation:

The solution is, D. They grow heavy and fall to the ground.,  is part of the process in the formation of hail pellets.

Graupel is also called snow pellets or soft hail, as the graupel particles are particularly fragile and generally disintegrate when handled. Sleet are small ice particles that form from the freezing of liquid water drops, such as raindrops.

here we have,

Hail is a form of precipitation when droplets of water freeze together in the cold upper reaches of the thunderstorms.  

Thee chunks of that range from 5 to 15 cm can be round and jagged. Hail fall on the ground in a solid form they are often associated with tornadoes and certain parts of the world receive more hail than other parts do.

These frozen droplets of water when fall from the clouds get uplifted by wind and that adds another layer to them. The freezing occurs below the zero degrees at an altitude of 11,000 feet.

Mostly found in North America Nebraska, colorado and Wyoming states. and African regions in winter and South America in summer.

Varies in diameter from peas shape to size of a softball.

To learn more on hail pellets click:

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Answer:

Each son received from their mother $287.50

Step-by-step explanation:

3(x - 275) = x - 250

2x = 825 - 250

x = 287.50

$287.50 - $275 = $12.50

Check the answer:

After spending the older son has $12.50  

$287.50 - $250 = $37.50

After spending the younger son has $37.50

$37.50 ÷ $12.50 = 3 times

Answer:

  (a)  85 - (35 x 2) - 6

Step-by-step explanation:

The miles Mr. Richardson has left to drive will be the difference between the distance to his goal and the miles he has alread driven. The relation between distance, speed, and time can be used to find the miles he drove before lunch.

__

  distance = speed × time

  miles before lunch = (35 mi/h) × (2 h) = (35 × 2) mi

The total miles driven before stopping for gas will be ...

  miles before stopping for gas = (miles before lunch) + (6 more miles)

  = 35 ×2 +6 . . . miles

Then the remaining miles are ...

  remaining = trip miles - miles driven

  = 85 -(35 ×2 +6)

  = 85 - (35 ×2) -6 . . . . . miles left to drive

Answer:

Step-by-step explanation:

You must solve the slope-intercept form with the graph of the linear function g passing through the points.

Use the slope-intercept form.

[tex]\underline{\text{SLOPE-INTERCEPT FORM:}}[/tex]

[tex]\Longrightarrow: \sf{y=mx+b}[/tex]

Use the slope formula.

[tex]\underline{\text{SLOPE:}}[/tex]

[tex]\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

(-7,-4) and (7,6)

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}}[/tex]

Solve.

[tex]\sf{\dfrac{6-\left(-4\right)}{7-\left(-7\right)}=\sf{\dfrac{10}{14}=\dfrac{10\div2}{14\div2}=\dfrac{5}{7} }}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

Step-by-step explanation:
I need more explanation to answer

Answer:

is it (3,3)

Step-by-step explanation:

(x,y)=(-2+5,1+2)

(x,y)=(3,3)

Answer:

20

Step-by-step explanation:

To calculate percent from a fraction, you can multiply the value of the fraction by 100. 20/100*100 is 20, so there is a 20% chance.

The required blank space could be filled with 20% as, If the chance of getting a disease is 20 out of 100, this would be the same as having a 20% chance.

Given that,
If the chance of getting a disease is 20 out of 100, this would be the same as having a ______ % chance, to determine what value can be put.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
According to the question,
percentage of get affected by disease = 20 / 100 = 0.20 or 20%

Thus, the required blank space could be filled with 20% as, If the chance of getting a disease is 20 out of 100, this would be the same as having a 20% chance.

Learn more about percentages here:

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Answer:

The mean would be 4

Step-by-step explanation:

Steps to find the mean.

1. Least to greatest.

2,3,4,4,5,6

2. Add all the numbers.

2+3+4+5+5,6

=24

3. Divided by how many numbers you have.

24÷6

=4

Hope this helps! Mark me brainlest if you want, have a great day!! :))

Answer: It would be 4

Step-by-step explanation: Hope that helps!

Answer:

5. 2612.5 ≈ $2613

6. 848.4 ≈ $849

Answer: I write more than one choice . The book is on the table , desk , bed , chair or shelf.

Step-by-step explanation: hope it helps

Answer:

C  and D

Step-by-step explanation:

Use Pythagorean theorem to test

a^2 + b^2 = c^2    ?      a   and b  are the shorter two sides   c = longest side

Doing this for each data set shows   C   and D   ARE rt triangles

Answer:

SA = 54π cm^2

A

Step-by-step explanation:

[tex]{\pi}rs + {\pi} {r}^{2} [/tex]

radius = 3cm

slant height = 15 cm

follow the formula

Answer: C

Step-by-step explanation:

The area of the larger square is a^2 and the area of the smaller square is b^2, so the area is a^2 + b^2, not (a+b)^2.

[tex]\sqrt{196} + \sqrt{441}\\\\=\sqrt{14^2} + \sqrt{21^2}\\\\=14+21\\\\=35[/tex]

Answer:

Below.

Step-by-step explanation:

Mean = (61+59+60+50+54+56+61+63)/8

= 464/8

= 58 degrees

Deviations:

61 - 58 = 3

59-58 = 1

60-58 = 2

50-58 = -8 = 8   (absolute value)

54-58= -4 = 4

56-58 = -2 = 2

61-58 = 3

63-58 = 6

MAD = (3+1+2+8+4+2+3+6) / 8

= 3.625

= 3.6 to the nearest tenth.

5,870,000,000,000 miles.

The distance light travels in 100 years.

The distance of the light travels in 100 years is:

5,870,000,000,000 × 100 miles.

= 587,000,000,000,000 miles

= 587 × 10^12 miles.

answer= option d

[tex]1 \: year = 5870000000000 \: miles[/tex]

The distance which light can travel in 100 years.

to find the distance which light can travel in 100 years, multiply the distance which light can travel in 1 year (5,870,000,000,000 miles) by 100.

[tex] = 5870000000000 \times 100[/tex]

[tex] = 587000000000000 \: miles[/tex]

[tex] = 587 \times {10}^{12} [/tex]

Hence, the correct answer is option D

Answer:

Step-by-step explanation:

Isolate the term of r, from one side of the equation.

First, multiply by 2 from both sides.

2*3/2r=2(-1)

Solve.

3r=-2

Then, you divide by 3 from both sides.

3r/3=-2/3

Solve.

Divide the numbers from left to right.

r=-2/3

-2/3=-0.66

[tex]\Longrightarrow: \boxed{\sf{r=-\dfrac{2}{3}}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

[tex]{ \qquad{ {{ \tt{ - \frac{2}{3} }}}}} \\ \\[/tex]

Given equation,

[tex] \\ { \longrightarrow \qquad{ {{ \tt{ \frac{3}{2} \: r = -1 }}}}} \\ \\[/tex]

Multiplying both sides by [tex] \sf \dfrac{1}{3}[/tex] we get :

[tex] \\ { \longrightarrow \qquad{ {{ \tt{ \frac{1}{3} \times \frac{3}{2}r = \frac{1}{3} \times -1 }}}}} \\ \\[/tex]

[tex] { \longrightarrow \qquad{ {{ \tt{ \frac{1}{ \cancel3} \times \frac{ \cancel3}{2}r = - \frac{ 1}{ 3} }}}}} \\ \\[/tex]

[tex] { \longrightarrow \qquad{ {{ \tt{ \frac{1}{2}r = - \frac{1}{3} }}}}} \\ \\[/tex]

Now, Multiplying both sides by 2 we get :

[tex] \\ { \longrightarrow \qquad{ {{ \tt{ 2 \times \frac{1}{2}r = 2 \times - \frac{1}{3} }}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ \cancel2 \times \frac{1}{ \cancel2}r = - \frac{2}{3} }}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \tt{ {1}r = - \frac{2}{3} }}}}} \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \frak {{ \pmb{ r = - \frac{2}{3} }}}}} \\ \\[/tex]

Answer:

yes it is a polynomial. it is a monomial

In this case, the equation is in vertex form. To graph the parabola, we need to determine the y-intercept, x-intercept(s), and the vertex.

Vertex form: y = a(x + h)² - k

Assume "y" as 0.

[tex]\implies 0 = 3(x + 2)^{2} - 1[/tex]

[tex]\implies 1 = 3(x + 2)^{2}[/tex]

Take square root both sides and simplify:

[tex]\implies\sqrt{1} = \sqrt{3(x + 2)^{2}}[/tex]

[tex]\implies1 = \sqrt{3 \times (x + 2) \times (x + 2)}[/tex]

[tex]\implies1 = (x + 2) \times \sqrt{3[/tex]

Divide √3 both sides:

[tex]\implies \±\huge\text{(}\dfrac{1 }{\sqrt{3}} \huge\text{)} = (x + 2)[/tex]    

[tex]\implies \±\huge\text{(}\dfrac{\sqrt{1} }{\sqrt{3}} \huge\text{)} = (x + 2)[/tex]    

Multiply √3 to the numerator and the denominator:

[tex]\implies \±\huge\text{(}\dfrac{\sqrt{1} \times \sqrt{3} }{\sqrt{3\times \sqrt{3}}} \huge\text{)} = (x + 2)[/tex]

[tex]\implies \±\huge\text{(}\dfrac{\sqrt{3} }{3}} \huge\text{)} = (x + 2)[/tex]

[tex]\implies \±\huge\text{(}\dfrac{\sqrt{3} }{3}} \huge\text{)} - 2 =x[/tex]

[tex]\implies x = \underline{-2.6...} \ \text{and} \ \underline{-1.4...} \ \ \ \ (\text{Nearest tenth})[/tex]

Assume "x" as 0.

y-intercept = 11 ⇒ (0, 11)

Since the first cooeficient is positive (+3), the direction of the parabola will be upwards.

Axis of symmetry line: x-coordinate of vertex

Axis of symmetry line: x = -2

Plot the following on the graph:

Refer to graph attached.

Answer:

Vertex form of a quadratic equation:

[tex]y=a(x-h)^2+k\quad \textsf{where }(h,k)\:\textsf{is the vertex}[/tex]

Given equation:  [tex]y=3(x+2)^2-1[/tex]

Therefore, the vertex is (-2, -1)

The x-intercepts are when [tex]y=0[/tex]:

[tex]\implies 3(x+2)^2-1=0[/tex]

[tex]\implies 3(x+2)^2=1[/tex]

[tex]\implies (x+2)^2=\dfrac13[/tex]

[tex]\implies x+2=\pm\sqrt{\dfrac13}[/tex]

[tex]\implies x+2=\pm\dfrac{\sqrt{3}}{3}[/tex]

[tex]\implies x=-2\pm\dfrac{\sqrt{3}}{3}[/tex]

[tex]\implies x=\dfrac{-6\pm\sqrt{3}}{3}[/tex]

Therefore, the x-intercepts are at -2.6 and -1.4 (nearest tenth)

The y-intercept is when [tex]x=0[/tex]:

[tex]\implies 3(0+2)^2-1=11[/tex]

So the y-intercept is at (0, 11)

The axis of symmetry is the x-value of the vertex.  Therefore, the parabola is symmetrical about x = -2

**You don't need to plot the axis of symmetry - I have added it so that it is easier to draw the curve**

Answer:

The formula for semicircle area is [tex]\frac{1}{2} \pi r^2[/tex]

Very similar to the formula for finding area of a circle, but since a semicircle is half of a circle, the formula will be revolving around halves.

Answer:

92 Degrees.

Step-by-step explanation:

As this is a Quadliateral inscribed in a circle, you can use a trick that is always true for these types of problems. Opposite angles will always be the same, since 92Degrees is A and is opposite to C, this means C is also 92Degrees, these type of shapes are also known as cyclic quadrilaterals

Answer:

C) 24

Step-by-step explanation:

Alternate interior angles are equal

so angle 1 equals angle 6

3x+10=x+58

subtract 10 from both sides

3x=x+48

then subtract x from both sides

2x=48

dived each side by two

x=24

Answer:

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Answer:

142.5

Step-by-step explanation:

Area of a triangle = 1/2*a*h

1/2*9*3 = 13.5

Area of a parallelogram = a*h

12*13 = 156

156-13.5 = 142.5

Answer:

11-1 equals 10

Step-by-step explanation: