a cylinder has a radius of 3 feet and a height of 2.1 feet. what is the approximate volume of the cylinder? use 3.14 for pi. 12.6 ftł 59.3 ftł 237.5 ftł 8550.2 ftł

Answer:

use cosine law

x^2 = 543^2 + 543^2 - 2(543)(543cos 128°

solve for x

Step-by-step explanation:

a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)

Where:

If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:

[tex]\Delta x = (2)\cdot (3)[/tex]

[tex]\Delta x = 6\,mi[/tex]

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)

If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:

[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]

[tex]\Delta x \approx 22.283\,mi[/tex]

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.

[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)

If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:

[tex]\bar v = \frac{22.283}{9}[/tex]

[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]

The average velocity of the girl is approximately 2.476 miles per hour.

To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060

Answer:

[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

Answer:

[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]

Step by step explanation:

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

Answer:

i am pretty sure its C

Step-by-step explanation:

Answer:

5/3 ft

Step-by-step explanation:

you multiply 5/12 by 2 which is 5/6 then you divide that by 1/2 which gives you 5/3. 5/3 times 1/2 is 5/6. 5/6 divided by 2 is 5/12.

hope the made sense.

Answer:

16 units

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!

Answer:

5 chairs

Step-by-step explanation:

then you'd get 5 so the answer is 5.

Just divide 5/6 / 1/6,

Answer:

5

Step-by-step explanation:

This is a question of division, the total quantity of paint used will be the amount of paint needed per chair × the number of chairs;

This is an equation, which can be rearranged to give:

Number of chairs painted = total paint used/paint needed per chair

Total paint used = ⅚

Paint needed per chair = ⅙

Therefore:

Number of chairs painted = (⅚)/(⅙)

Number of chairs painted = ⅚ × 6

Number of chairs painted = 5

Answer:

[tex]y=-\frac{12}{5}[/tex]

I think this is the correct answer

Answer:

(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x

Step-by-step explanation:

Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

Answer:

Step-by-step explanation:

Given:

Find the total amount in 1 year:

[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

[tex] \color{magenta} \huge{answer}{} [/tex]

on comparing with ax+by+c=0

We can find out that

[tex] \green{ \huge{a= -2}{} }[/tex]

[tex] \pink{ \huge{b = 3}{} }[/tex]

[tex] \color{magenta} \huge{c = 6}{} [/tex]

The expression -22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

The given equation is:

-2x + 3y = 6

Comparing the equation above with ax + by + c = 0

Rewrite -2x + 3y = 6 in the form ax + by + c = 0

-2x + 3y - 6 = 0

If -2x + 3y - 6 = 0 is compared with ax + by + c = 0

a = -2, b = 3, c = -6

Therefore, the expression-22x + 3y = 6 in the form ax + by + c = 0 is -2x + 3y - 6 = 0

Learn more on linear equations here: https://brainly.com/question/14323743

Answer:

x = 22

Step-by-step explanation:

4x + 28 = 116 (corresponding angles are equal when two lines are parallel)

4x = 88

x = 22

Corresponding angles must be equal

[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]

[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]

[tex]\\ \tt\hookrightarrow 4x=88[/tex]

[tex]\\ \tt\hookrightarrow x=22[/tex]

Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

Answer:

1

Step-by-step explanation:

Answer:

Slope: -1

y intercept: -3

equation: y=-1x-3

Step-by-step explanation:

The y intercept is when x is zero.

Answer:

True

Step-by-step explanation:

6^3, or 6x6x6, is equal to 216.

---

hope it helps

Answer:

true

Step-by-step explanation:

how do we hel you , ca we get a description

x

=

2

and

y

=

−

1

Explanation:

y

=

3

x

−

7

   and    

2

x

−

5

y

=

9

Substitute for

y

2

x

−

5

(

3

x

−

7

)

=

9

Simplify

2

x

−

15

x

+

35

=

9

Keep going and get

−

13

x

=

−

26

So

x

=

2

Now find

y

y

=

3

x

−

7

→

3

(

2

)

−

7

y

=

−

1

Answer:

d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

I'm assuming the points are (-5,-5) and (-5,5)

The formula to do slope is: (y2-y1)/x2-x1)

2 points: (x1, y1) (x2, y2)

So then:

(5-(-5))/(-5-(-5))=10/0

This shows that the line is vertical, which means that slope is undefined.

Answer:5/65/6

The slope of the line passing through the point (5,5) is 5/6.

Step-by-step explanation:

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]x+2y=-6[/tex]

[tex]y=-1[/tex]

_________

[tex]x+2\left(-1\right)=-6[/tex]

[tex]x-2\times \:1=-6[/tex]

Multiply: 2*1= 2

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

Add 2 to both sides:

[tex]x-2+2=-6+2[/tex]

[tex]x=-4[/tex]

________________

* Hope it helps

* Have a good day!

________________

Answer:

x = -4, y = -1

Step-by-step explanation:

Simple, just plug the Y in

(Pemdas)

x+2(-1) = -6

x-2 = -6

x = -4

-4+2y = -6

2y = -2

y = -1

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48