What is the approximate volume of the cylinder? Use
for 22/ 7. Round to the nearest whole number.

Answer:

1st option

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{210}{360}[/tex]

      = 2π × 13 × [tex]\frac{21}{36}[/tex]

      = 26π × [tex]\frac{7}{12}[/tex]

      = [tex]\frac{26\pi (7)}{12}[/tex]

      = [tex]\frac{182\pi }{12}[/tex]

      = [tex]\frac{91\pi }{6}[/tex]

=================================================

Explanation:

We won't involve the g(x) function at all.

We're composing the f(x) function with itself, which means we're replacing every x with f(x) and then simplifying.

See the attached image below for the steps.

Answer:

51.575

Step-by-step explanation:

[tex]s = \frac{9 + 12 + 17}{2} = 19[/tex]

[tex]area = \sqrt{19(19 - 17)(19 - 9)(19 - 12)} \\ = 51.575[/tex]

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Diameter of the circle = 8 cm

Circumference of the circle.

[tex]\boxed{25.12\:cm}[/tex] ✅

We know that,

[tex]\sf\purple{Circumference\:of \:a\: circle \:=\:πd}[/tex]

[tex] = 3.14 \times 8 \: cm \\ = 25.12 \: cm[/tex]

[tex]\sf\red{Therefore,\:the\:circumference \:of\:the\:circle\:is\:25.12\:cm.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

using Pythagoras theorem

9² = 7² + a²

81 - 49 = a²

[tex] \sqrt{32} = a[/tex]

5.65 = a

on rounding off it becomes 6 cm

Answer:

2/12

Step-by-step explanation:

fraction 1 = 1/3

fraction 2 = 1/12

Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24

Answer:

Half of 3 is 1.5(new radius)

1.5^2 = 2.25

2.25 x 3.14 = 7.065

7.065 x 2 = 14.13(area of two circles)

2 x 3.14 x 1.5 = 9.42

9.42(circumference)  x 4(height) = 37.68(area of lateral)

Add the given areas:

37.68 + 14.13 = 51.81 cm2 is your answer.

Answer:

44/3

Step-by-step explanation:

Reduce 22/2 to 11, 3/9 to 1/3:

11(1/3)(4)

Working from left to right:

11(4)

------ = 44/3

  3

Answer:

Step-by-step explanation:

simplify 22/2 then multiply it by 3/9

then multiply that answer by 4 and your total will be 14.6

Answer:

y = -1/2x - 4

Step-by-step explanation:

Answer:

508.69

Step-by-step explanation:

...

Answer:

6) x = 11;  y = 11[tex]\sqrt{2}[/tex]

7) x = 9;  y = 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Just count the many units to get to each point.

Answer: 360

Step-by-step explanation:

Answer:

120 cubic feet

Answer:

q= 1/2 or 0.5 depending

Step-by-step explanation:

Answer:

84 in.

Step-by-step explanation:

6*6=36/2=18

6*11=66

18+66=84

Answer:

x = 7

Step-by-step explanation:

Lets do the brackets first,

6 × 2x = 12

6 × -11 = -66

------

Calculate the x constant:

12x - 3x = 9x

-------

Then the ones with no x:

-66 + 15 = -51

51 + 12 = 63

-------

Lastly, divide

63 ÷ 9 = 7

-------

Have a good day :)

Answer:

vsbhsgshahhwgwgwgaggsgsgsgsggdhehdhhdhdhshjxjxjxjxjjxjx

Step-by-step explanation:

Use distributive property to rewrite 6m(3n+1) in its equivalent form

Answer:

Sate why the measure of angle d is 120 degrees

Answer:

x = 9

Step-by-step explanation:

Of course I'll do very simple explanation!

every time you see a straight line (nondiagonal) it measures 180°.

so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.

Then use the statement to solve for x

[tex]10x+50=140[/tex]

[tex]10x-50[/tex] = - 50    Subtract 50 from both sides

[tex]10x[/tex]         [tex]=[/tex]  90     Divide 10 from both sides

x             =   9      

Answer:

H0: p= 0.39   vs    Ha: p ≠ 0.39

Step-by-step explanation:

She wants to test whether this holds true for teachers in her state.

The test is the formulated into the hypotheses.

The null hypothesis would be

H0: p= 0.39   against the claim    Ha: p ≠ 0.39

The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.

against the claim

That the the proportion of teachers in her state that are members of a union is  not equal to the proportion of teachers in the US that are members of the labor union.

Answer:

from what I'm seeing the answer is C

Answer:

6x

Step-by-step explanation:

each day she cuts 6 trees so the equation would be y=6x

r=6cm and h=7cm

Volume of right circular cone =31πr2h

                                                 =31×722×(6)2×7

                                                 =31×22×36

                                                 =264cm3

dunno whether the formula is correct or not!

First year :

9450 + 9450 × ( 6 / 100 ) =

9450 + ( 9450 × 6 / 100 ) =

9450 + ( 56700 / 100 ) =

9450 + 567 =

Rs 10,017

_____________________________

Second year :

10,017 + 10,017 × ( 6 / 100 ) =

10,017 + ( 10,017 × 6 / 100 ) =

10,017 + ( 60,102 / 100 ) =

10,017 + 601.02 =

Rs 10,618.02

______________________________

Third year :

10,618.02 + 10,618.02 × ( 6 / 100 ) =

10,618.02 + ( 10,618.02 × 6 / 100 ) =

10,618.02 + ( 63,708.12 / 100 ) =

10,618.02 + 637.0812 =

Rs 11,255.1012

_______________________________

4th year :

11,255.1012 + 11,255.1012 × ( 6 / 100 ) =

11,255.1012 + ( 11,255.1012 × 6 / 100 ) =

11,255.1012 + ( 67,530.6072 / 100 ) =

11,255.1012 + 675.306072 =

Rs 11,930.407272

_______________________________

5th year :

11,930.407272 + 11,930.407272 × ( 6 / 100 )

=11,930.407272 +( 11,930.407272 × 6 / 100)

= 11,930.407272 + ( 71,582.443632 / 100 )

= 11,930.407272 + 715.82443632

= Rs 12,646.23170832

_______________________________

Thus Mike have to pay approximately Rs 12,646 after 5 years.

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation: