A one side open cylinderical drum has inner radius 28 cm. and height 2.1 m. How much water you can store in the drum. Express in litres. (1 litre = 1000 cc.)​

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

Answer:

34

Step-by-step explanation:

Diameter is twice length of radius

Answer:

Diameter=34 cm

D.

Step-by-step explanation:

Diameter=radius*2

17*2=34 cm

Given:

The equation of a line is

[tex]y=-\dfrac{2}{3}x+2[/tex]          ...(i)

The perpendicular line passes through the point (-1,4).

To find:

The equation of the perpendicular line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

[tex]m=-\dfrac{2}{3}[/tex]

Product of slopes of two perpendicular lines is -1.

Let the slope of perpendicular line is [tex]m_1[/tex].

[tex]m\times m_1=-1[/tex]

[tex]-\dfrac{2}{3}\times m_1=-1[/tex]

[tex]m_1=\dfrac{3}{2}[/tex]

The slope of the perpendicular line is [tex]m_1=\dfrac{3}{2}[/tex] and it passes through the point (-1,4). So, the equation of the line is:

[tex]y-y_1=m_1(x-x_1)[/tex]

[tex]y-4=\dfrac{3}{2}(x-(-1))[/tex]

[tex]y-4=\dfrac{3}{2}(x+1)[/tex]

[tex]y-4=\dfrac{3}{2}x+\dfrac{3}{2}[/tex]

Add 4 on both sides.

[tex]y-4+4=\dfrac{3}{2}x+\dfrac{3}{2}+4[/tex]

[tex]y=\dfrac{3}{2}x+\dfrac{3+8}{2}[/tex]

[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]

Therefore, the equation of required line is [tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex].

Answer:

The probability is 0.1312

Step-by-step explanation:

Here, let us set up a binomial system

From the question, 54% ride a bike

Let p = people that rides a bike

54% = 54/100 = 0.54

p = 0.54

q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)

Now, for the binomial system, we have

P(X = 15) = 30 C 15 • p^15•q^15

We have;

30 C 15 * 0.54^15 * 0.46^15

= 0.131200268998

The probability is 0.1312

Answer: y = 10x + 30 is the correct answer

Answer:

a rose bush cost $15.5 , a flat of petunias cost $9.75

Step-by-step explanation:

Let $x be the cost of rose bush and $y be the cost of a flat of petunias cost

3x + 7y = 114.75

2x + 6y = 89.5

x = 31/2 , y = 39/4

Step-by-step explanation:maybe try diciding

Answer:

Step-by-step explanation:

(6). y = [tex]\frac{1}{3}[/tex] x + 2 [ linear function ]

(7). y = 4 [ horizontal line, linear function ]

(8). x = 2 [ vertical line, not a function ]

Answer:

$60

Step-by-step explanation:

36 / 3 = $12 for a single CD

12 * 5 = $60 for 5 CDs

Answer: A) 26_ 26 10_10_10_10_10 = 67,600,000

B) 26_25 10_9_8_7_6 = 19,656,000

Step-by-step explanation: A) There's exactly 26 letters in the Alphabet and it wants us to repeat it, so write 26_26. Since it's also asking for a 5 digits, write 10 five times because there's only 10 digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Multiply the Numbers all-together which is equals 67,600,000.

B). Again, since the License plate has 2 letters, write the Number twice. However it cannot be repeated, so write 26_25. As for the 5 digits write the Number 5 times, but it also can't be repeated, so write 10_9_8_7_6 (Use commas if you want). Then Multiply the Numbers all-together which equals 19,656,000.

Answer:

[tex](d)[/tex] [tex]H_o: p = 0.35[/tex] [tex]H_a: p > 0.35[/tex]

Step-by-step explanation:

Given

[tex]\mu = 35\%[/tex]

Required

The hypothesis statements

First claim: 35% will support a strike.

This represents the null hypothesis

[tex]H_o: p = 0.35[/tex]

Second claim: A greater percentage will support the strike.

This represents the alternate hypothesis

[tex]H_a: p > 0.35[/tex]

Answer: 5 Rosebushes

Step-by-step explanation: if they required $95 at least, then you take $150 - $95 and you get $55

- Each rosebushes is $11 so you take 55/11= 5

Step-by-step explanation:

yall lazy figure this out yourself

Answer:

8/25

Step-by-step explanation:

So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)

Answer:

9

Step-by-step explanation:

Question:

Which expression represents the product of a variable and coefficient?

Choose 3 answers

(A) 11c

(B) 1/2 t

(C) 5•10

(D) j•4

Answer:

(A) 11c

(B) 1/2 t  

(D) j•4

Step-by-step explanation:

Required

Expression for variable and coefficient product

In algebra:

A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet

Having said that:

Analyze each of the options

(A) 11c

Here, we have:

[tex]Variable = c[/tex]

[tex]Coefficient = 11[/tex]

(B) 1/2 t

Here, we have:

[tex]Variable = t[/tex]

[tex]Coefficient = 1/2[/tex]

(C) 5•10

Here, 5 and 10 are not variables

(D) j•4

Here, we have:

[tex]Variable = j[/tex]

[tex]Coefficient = 4[/tex]

So, the correct options are: (A), (B) and (D)

Answer:

A

B

D

Step-by-step explanation:

Pretty sure

Answer:

Speed is equals to distance divided by time

ie

45 ÷ 3

you get 15 miles per hour

Answer:

15 miles per hour

Step-by-step explanation:

Speed = distance travelled / time taken

= 45 / 3

=15

Answer:

A. 8%

B. 39.6%

C. 58.4%

D. 41.6%

Step-by-step explanation:

Computation to determine the probability of eligible voter selected at random

First step is to Draw up a contingincy table which will include Rows = Degree/No degree

and Columns= Vote/Not vote

..............Vote..No vote

Degree 80...20...100

(80%*100=80)

(100-80=20)

No Degree 504..396..900

(1000-100=900)

(56%*900=504)

(504-900=396

Totals 584..416...1000

(80+504=584)

(20+396=416)

(900+100=1,000)

Summary

..............Vote..No vote

Degree 80...20...100

No Degree 504..396..900

Total Totals 584..416...1000

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

D. Calculation to determine the probability if The voter did not vote in the last presidential election.

P = 416/1000

P=0.416*100

P=41.6%

Therefore the probability if The voter did not vote in the last presidential election will be 41.6%

Answer: -6 ≤ x < 4

Step-by-step explanation:

Open circles on a graph mean that that point is not included

Filled in circles on a graph mean that that point is included

As a result, the end point (-6, -6) is included while (4, 8) is not

The domain is all possible x-values so the graph can be anywhere from:

-6 ≤ x < 4

Note that there are no possible values for the x-value of 4

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

To learn more about fractions visit:

https://brainly.com/question/78672

#SPJ2

Answer:

1/10

Step-by-step explanation:

We are to determine the difference between the miles walked Tasha already and the total number of miles to school

[tex]\frac{7}{10} - \frac{3}{5}[/tex]

[tex]\frac{7-6}{10}[/tex] = [tex]\frac{1}{10}[/tex]