find the volume of the cylinder​

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}b^{2} - 6[/tex]

[tex]\frac{1}{2}(4)^{2} - 6[/tex]

[tex]\frac{1}{2} * 16 - 6[/tex]

[tex]8 - 6[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Plug in the value:

1/2 b² – 6

1/2 (4)² – 6

Use order of operations (PEMDAS):

There are no parentheses:

Do exponent:

1/2 (16) – 6

Then multiplication and division in the order that they come in:

8 – 6

Then addition and subtraction in the order that they come in:

2

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Solution :

According to the question, let

A : winning first scholarship

B : winning second scholarship

So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.

Therefore,

[tex]$P(A)=\frac{2}{5}$[/tex]   and    [tex]$P(B)=\frac{1}{5}$[/tex]

1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]

                      [tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]

                      [tex]$=\frac{2}{25}$[/tex]                

2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]

                   [tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]

                   [tex]$=\frac{13}{25}$[/tex]

3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

Answer:

Step-by-step explanation:

what expressions?

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]

Total charge on day 2 = 771 $ =  [tex]20\times x+12\times y+17\times z[/tex]

Now we have 3 equations : x+ y+z =45

[tex]15\times x+8\times y+12\times z=558[/tex]

[tex]20\times x+12\times y+17\times z=771[/tex]

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

Answer:

36

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

Answer:

234 square inches

Step-by-step explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

Answer:

5,6

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

5² = 25

6² = 36

Answer:

9/10 divided by 3/4 is 6/5  

3/4 divided by 9 is 1/12

6/9 divided by 6/7 is 7/6

5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9

Answer:

D

Step-by-step explanation:

Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation:

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

Answer:

x = 2

Step-by-step explanation:

1. Add 9 to both sides.

6x=3+9

2. Simplify  3+9  to  12.

6x=12

3. Divide both sides by 6.

x=12/6

4.

Simplify 12/6 to 2

x = 2

Answer:

B. 20

Step-by-step explanation:

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

20 = x

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation:

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

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Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

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- Zack Slocum

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Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2