Explain what πr² and h represent in terms of the cylinder. Then explain how this information is used to find the formula for the volume of a half sphere, 2/3 • πr²• r. Then explain how you use this formula to get the formula 4/3 πr³ for the volume of a sphere.

Answer:if a triangle is a right triangle, then the sum of the squares of the lenghts of the legs is equal to the square of the length of the hypotenuse.

- a property of all triangles with a right-angle (an angle of 90°)

Step-by-step explanation:

Zach is trying to find out the hypotenuse value of the right-angle triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The Pythagorean theorem states that "in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides".

Zach is most likely trying to find the length of the hypotenuse of a right triangle, which is the side opposite the right angle, given the lengths of the other two sides.

In this case, given 32 inches, 20 inches, and 20 inches values, he's trying to find out the hypotenuse value of the right-angle triangle.

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1 hour

To solve this problem, we will need to use the unitary method.

Determining the equation:

⇒ 55 deliveries in 11 hours

⇒ 55 deliveries = 11 hours

Finding how much hours in 5 deliveries:

Divide both sides by x:

⇒ 55 deliveries = 11 hours

⇒ 55/x deliveries = 11/x hours

Simplify the numerators:

⇒ 55/x deliveries = 11/x hours

⇒ 5/x deliveries = 1/x hours

Use cross multiplication:

⇒ 5x deliveries = x hours

Divide both sides by x:

⇒ 5x/x deliveries = x/x hours

⇒ 5 deliveries = 1 hour

Answer:

1 hour

Step-by-step explanation:

let x = unknown number of hours

Set up ratios of deliveries to hours

[tex]\sf \implies 55 : 11 = 5 : x[/tex]

[tex]\sf \implies \dfrac{55}{11}=\dfrac{5}{x}[/tex]

Cross multiply:

[tex]\sf \implies 55x=5 \cdot 11[/tex]

[tex]\sf \implies 55x=55[/tex]

Divide both sides by 55:

[tex]\sf \implies x=1[/tex]

Therefore, 55 deliveries in 11 hours = 5 deliveries in 1 hour

Answer:

x = 30'

2x = 60'

3x = 90'

Step-by-step explanation:

2x + 3x + x = 180

6x = 180

6x ÷6 = 180 ÷ 6

x = 30'

therefore

2x = 60"

3x = 90'

hope this will helpful....

a) one unit up = Ix + 2I + 1

b) one unit down = Ix + 2I - 1

c) one unit to the left = Ix + 1I

d) one unit to the right = Ix + 3I

Let the function f(x) and g(x) are two real functions.

And g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

The graph of y = |x+2| is a V-shaped graph centered at x = -2.

To translate this graph, we need to modify the equation to shift it up/down or left/right.

Here are the equations for each translation:

a) To shift the graph one unit up, we need to add 1 to the equation:

y = |x+2| + 1

b) To shift the graph one unit down, we need to subtract 1 from the equation:

y = |x+2| - 1

c) To shift the graph one unit to the left, we need to replace x with (x+1) in the equation (since moving left means decreasing x by 1):

y = |(x+1)+2|

Simplifying this gives:

y = |x+3|

d) To shift the graph one unit to the right, we need to replace x with (x-1) in the equation (since moving right means increasing x by 1):

y = |(x-1)+2|

Simplifying this gives:

y = |x+1|

Therefore, all the required values are given above.

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Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

Answer:

12.56 in²

Step-by-step explanation:

Area = πr²

Substitute for pi.

A = 3.14 × r²

The diameter is 4. We divide the diameter by 2 to get the radius.

4 ÷ 2 = 2

Substitute for the radius.

A = 3.14 × 2²

Solve

A = 3.14 × 4 = 12.56 in²

I hope this helps and please mark me as brainliest!

Answer:

954.56 in²

Step-by-step explanation:

Formula: A = 2πrh + 2πr²

Hope this helps!!

**Brainliest would be appreciated**

Answer:

4

Step-by-step explanation:

By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)

Answer:

56

Step-by-step explanation:

Answer:

56 containers

Step-by-step explanation:

There are 8 pints in 1 gallon

8 x 7 = 56

Answer: High

Step-by-step explanation: Same endpoints and similar values

The high overlap is the overlap that we are having here.

High dataset overlap typically refers to a situation in which two or more datasets contain many of the same or very similar entries or data points.

This can happen, for instance, in the field of machine learning, when training and testing datasets have high overlap, which could lead to overfitting. Overfitting is a modeling error that occurs when a function is too closely fit to a limited set of data points and may therefore perform poorly on new, unseen data.

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Answer:

6n is less than or equal to 42

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

6n ≤ 42

6÷6    42÷6

n ≤ 7

Answer:

51.25

Step-by-step explanation:

The four longest pieces are the four X’s on the farthest right.

These X’s have values of 12.75, 12.75, 12.75, and 13.

12.75 + 12.75 + 12.75 + 13

25.5 + 12.75 + 13

38.25 + 13

51.25

Therefore, my answer is correct.

Answer:

51 1/4 centimeters

Step-by-step explanation:

According to the line plot, the 4 longest pieces of ribbon are :

Total length = Sum of the 4 pieces

Answer:

the cable is  2\sqrt{41} meters long

Step-by-step explanation:

after drawing out the lengths given, you can see that you need to find the hypotenuse of a triangle with legs 10 and 8 meters long.

10^2+8^2=164

sqrt of 164 is [tex]2\sqrt{41}[/tex]

Answer:

[tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Step-by-step explanation:

This can be modeled as a right triangle, with:

The length of the cable is the hypotenuse.

Using Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

[tex]\implies 8^2+10^2=c^2[/tex]

[tex]\implies 164=c^2[/tex]

[tex]\implies c=\sqrt{164}[/tex]

[tex]\implies c=\sqrt{4 \cdot 41}[/tex]

[tex]\implies c=\sqrt{4} \sqrt{41}[/tex]

[tex]\implies c=2\sqrt{41}\: \sf m[/tex]

Therefore, the length of the cable is [tex]2\sqrt{41}\: \sf m[/tex] = 12.81 m (nearest hundredth)

Answer:

1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.

Step-by-step explanation:

I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!

Answer:

B

Step-by-step explanation:

1/7 + 2/7 x 1/4

Bodmas

1/7 + 2/7 x 1/4

1/7 + 1/7 x 1/2

1/7 + 1/14

LCM = 14

2 + 1 3

--------- = -------

14 14

Step-by-step explanation:

l = 12 metres

b = 15 metres

diameter of semicircle = length = 12 m

radius = 12/2 = 6 cm

area of the figure = area of rectangle + area of semi circle

= l × b + πr²

= 12 × 15 + 3.14 × 6²

= 180 + 113.04

= 293.04 m²

The perimeter of the figure is 60.84 meters.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the width and height of the rectangle are 15 meters and 12 meters respectively.

Note that the diamter o he semicircel is 12 meters.

The radius of the semicircle is:

12/2

= 6 meters

The perimeter of the figure is given by:
15 + 12 + 15 + π(6)

= 42 + 3.14×6

= 60.84

Hence, the perimeter of the figure is 60.84 meters.

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Answer:

B.10

Step-by-step explanation:

42÷7=1. 1 child for every 6 customer. 60÷6= 10

Answer:

B

Step-by-step explanation:

If the first restaurant had 7 children within 42 customers, then we can divide 42 by 7 to get 6, which means 1 in 6 customers are children. If we apply this to the next restaurant, we will divide 60 by 6 to get 10.

This means there are 10 children in the second restaurant, so the answer is B.

Answer:

ahh,  ok so i believe  its  A  AND  E

Step-by-step explanation:

i have taken this quiz i think and i think this was it if im wrong im SOOO sorry

Answer:

Im pretty sure its #2

Step-by-step explanation:

hope thats my explanation.

Answer:

49 and 26

Step-by-step explanation:

every triangles angles equal 180 degrees 76 + 55 equals 131. 180 - 131 = 49. the 2nd question has a small square at the bottom part of the triangles and those always mean 90 degrees. 64 + 90 = 154. 180 - 154 = 26.

Answer:

x=1

Step-by-step explanation:

Answer:

153

Step-by-step explanation:

Answer:

228.75 inches cubed

Step-by-step explanation:

This is because the formula to find the volume of a rectangular prism is base x height x width. so if you plug in the numbers, 7 5/8 x 12 x 2 1/2, and we get our answer of 228.75 inches cubed or 228.75 in.^3

School bag _ y

book _ x

system:

y+3x=180

y+5x=270

y=180-3x (and we put that instead of 'y' in the second equation)

(180-3x)+5x=270

180+2x=270

2x=90

x=45

so one book costs $45

and school bag:

y+3×45=180

y+135=180

y=180-135

y=45

Answer:

Each book costed 45$.

Step-by-step explanation:

Let x represent the price of a school bag and y represent the price of a book.

we get the following system of equations:

x+3y=180  (equation 1)

x+5y=270 (equation 2)

using equation 1: x=180-3y

then we substitute x in equation 2 in order to find y:

180-3y+5y=270

180+2y=270

2y=270-180=90

y=90/2=45

and we know that y represents the price of a book, so each book costs 45$.

Answer:

216 cm squared

Step-by-step explanation:

Bottom: a single 6*6=36

4 sides: 6*5=30 each

Triangles 6 by 5. the formula for a triangle means that 2 of the triangles equals a square  

6*5*2=60

36+120+60=216 cm squared

Answer: Ok let's say the area is 100 sq cm because it is 10x10 square. Now if 1 cm is 2 ft then 10 cm is 20 ft. So 20 x 20 is 400 sq ft which is the actual area.

1 sq cm = 4 sq ft

Good luck!