Please show the working. (Standard form)

Answer:

1) The volume of a hemisphere of radius R is equal to half the volume of a sphere of radius R.

Where the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

In this case, the radius is R = 10ft

And pi = 3.14

2) Now we can just solve that equation to get:

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

Where the (1/2) comes because the volume of the hemisphere is half the volume of a complete sphere, as we already said above.

4) We know that the volume of a cylinder is:

V = pi*(r^2)*h

where:

pi = 3.14

r represents the radius. The radius of the cylinder will be the same as the radius of the hemisphere, then r = 10ft

h is the height of the cylinder, in this case, h = 30ft

Then the volume is:

V = 3.14*(10ft)^2*(30ft) = 9,420 ft^3

The total volume is equal to the sum between the volumes of the cylinder and the volume of the hemisphere.

Then the total volume is:

Volume =  9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

1. How can you find the volume of a hemisphere?

The volume of a hemisphere is half the volume of a sphere. The volume of a sphere is equal to V = (4/3)*pi*R^3

2. What is the volume of the hemisphere? Show your work.

V = (4/3)*pi*R^3

We can substitute pi for 3.14 and R for 10, and since we are finding the volume of a hemisphere, we divide by 2.

V = (1/2)*(4/3)*3.14*(10ft)^3

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

3. What is the volume of the cylinder? Show your work.

The volume of the cylinder is 9,420ft^3

3.14*(10^2)*30=9,420

4. What is the total volume of the grain silo? Explain how you found your answer.

The total volume is 11,513.33 ft^3.

9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

13/30

Step-by-step explanation:

Add: -1/

3

+ 2/

5

= -1 · 5/

3 · 5

+ 2 · 3/

5 · 3

= -5/

15

+ 6/

15

= -5 + 6/

15

= 1/

15

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - minus one third plus two fifths = one fifteenth.

Subtract: 1/

2

- the result of step No. 1 = 1/

2

- 1/

15

= 1 · 15/

2 · 15

- 1 · 2/

15 · 2

= 15/

30

- 2/

30

= 15 - 2/

30

= 13/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus one fifteenth = thirteen thirtieths.

Answer:

Hope it helps u

Step-by-step explanation:

y∝ x

y=k*x

k=y/x

now putt the first point x=8 and y=2

we get   k=2/8 =1/4

and also putt 2nd point ,

x=16,y=4 we get   k=1/4 and similarly for 3rd and 4th point we also get k=1/4

hence the direct variation , equation become for all is same, that is

y=(1/4)x

Answer y-2x+5 or it will be y=-2x+11

Step-by-step explanation:

Answer:

I have

Step-by-step explanation:

No idea i just need points sorry wyatt

Answer:

$20

subtract 9 from 89 beacuse we need to find how much is 1 meal and the 9 represents 1 appetizer

89-9=80

since there are 4 meals divide 80 by 4

80÷4= 20

and u get $20 per meal

Step-by-step explanation:

The cost of an appetizer = 9

The cost of a meal = m

The cost of an appetizer and 4 meals = 9 + 4(m) = 89

4m +9 = 89         Your equation, solve for m

4m - 9 + 9 = 89 - 9    Bring the constants to one side

4m = 80               Simplification

4m/4 = 80/4         isolating the variable

m= 20                  Your answer!!!

A meal costs 20 dollars

I hope this helps!!!

If you wanted to check the answer...

Do the same thing but substitute for m

4 (20) + 9 = 89

80 + 9 = 89

89 = 89

The answer should be correct

Have a nice day!!!

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10.5x - 1.9 = 19.1

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 19.1 does indeed equal 19.1.

∴ x = 2 is a solution to the equation.

Answer:

Donald earnings = 3(s + k)

Step-by-step explanation:

Susan earnings = s

Kurt earnings = k

Combined salary = s + k

Donald earns earns three times as much as the combined salary of his two vice presidents,

Donald earnings = 3(s + k)

= 3s + 3k

Answer:

Step-by-step explanation:

(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾

                         = 12a⁹b⁷

Answer:

A. Bananas

Step-by-step explanation:

Bananas = 8

Oranges = 3

Apples = 5

Kiwis = 6

For every 3 kiwis, there are 4 ______

Kiwi : bananas = 6 : 8

6 : 8 = 6/8

= 3 / 4

= 3 : 4

Kiwi : oranges = 6 : 3

= 6 / 3

= 2 / 1

= 2 : 1

Kiwi : apples = 6 : 5

For every 3 kiwis, there are 4 bananas

A. Bananas

Answer:

x ≤ -3

Step-by-step explanation:

For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤

Answer: V = 56.5486678 m3

there's the full answer.

you'd round it to 57

Answer:

scale = 14.5 cm perimeter

actual = 29 inch perimeter

Step-by-step explanation:

To find the perimeter of the scale drawing, we can just add up the scale sides.

This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter

For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.

2.5/.5 = 5 inch length

4.75 / .5 = 9.5 inch width

5 + 5 + 9.5 + 9.5 = 29 inch perimeter

Answer:

The surface area of the decorative block is 253.68 cm²

Step-by-step explanation:

The decorative block is a composite figure comprising of the following parts;

1) A solid cube with side length, S = 6 cm

2) A hemisphere with diameter, D =  4 cm

The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere

The surface area of the components of the decorative block are as follows;

The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²

The surface area of the hemisphere = π·D²/4 + π·D²/2

∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²

∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².

Answer:

its 8 units long

Step-by-step explanation:

since x is the same we dont have to do much since its a straight line up and down

find the difference in the ys

-11 - -3 = -8

8 units long

hope this helps <3

Answer: 9 + 1.50m

Step-by-step explanation:

From the question, we are informed that the minimum cost for an Uber ride is $9 and that a fee of $1.50 will be added for each additional mile.

A piece wise function to model the situation will be:

= 9 + 1.50m

where m = every additional mile

For example, if a person takes 4 additional miles, this will be calculated as:

= 9 + 1.50m

= 9 + 1.50(4)

= 9 + 6

= $15

Answer:

The probability of juniors whose score is at or below =0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 0.1587 = 15 percentage

Step-by-step explanation:

Explanation:-

Given mean of the Population (μ) = 73

Given standard deviation of the Population(σ) = 7

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]

                = 1 - P( Z>Z₁ )

                = 1-( 0.5 +A( Z₁)

               = 0.5 - A(-1)

             = 0.5 - A(1)    (∵ A(-1) = A(1))

            = 0.5 - 0.3413

           = 0.1587

The probability of juniors whose score is at or below 66

[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]  = 0.1587

The percentage of juniors whose score is at or below 66

P(X≤ 66) = 15 %

Answer:

4b - 8

Step-by-step explanation:

2/3(6b - 12)

2/3 x 6 = 12/3 = 4

2/3 x 12 = 24/3 = 8

4b - 8

Answer:

$288

Step-by-step explanation:

16+8=24

$24 per book

24 x 12 = 288

Answer:

the answer to this sequence is that: u count the difference between 19 and 11 , which is 8.

again try to see if the difference is same between 11 and 3, which is again 8.

so the commin difference in this sequence is = 8

Answer:

for 24 and 72 its 24 for 16 and 18 it is 2

Step-by-step explanation:

Answer:

He travels 165 miles

Step-by-step explanation:

Answer i dont know the amount of the items

Step-by-step explanation:

give us the amount of them please

The mystery number is 16 because 16 - 6 = 10.

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Answer:

v - 1 ≥ 13.

Step-by-step explanation:

'is at least' is written as ≥ ( greater or equal to).

v - 1 ≥ 13.

Answer:

402

Step-by-step explanation:

Answer:  5.6 N/cm^2

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

Work Shown:

Pressure = (Force)/(Area)

P = F/A

P = (84 N)/(15 cm^2)

P = (84/15) (N/cm^2)

P = 5.6 N/cm^2

For every square cm, 5.6 newtons of force is applied.

-------------

Extra info:

If you wanted to convert this to pascals, then you would need to convert 15 cm^2 to 0.0015 square meters. Then apply the formula above to get 56,000 pascals. 1 pascal is equivalent to 1 N/m^2.

Answer:

A and E

Step-by-step explanation:

9^3 / 9^3

Same number on top and bottom so 1 is an answer

look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1

Answer:

A. 1 and E. 9^0

Step-by-step explanation:

9/9 = 1

You can check this by actually solving the problem:

9^3 = 9*9*9 = 729

So...

729/729 = 1

Also, any number to the power of zero is one, so 9^0 is also a correct answer