What is the volume, in cubic feet, of a cylinder with a height of 20 feet and a base radius of 4 feet, to the nearest tenths place?

Answers

Answer 1

Answer:

about 1,005.3 cubic feet

Step-by-step explanation:

V = π(4^2)(20) = π(16)(20) = 320π = 1,005.3 cubic feet


Related Questions

What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.
Icm
1 cm
Answer here

Answers

Step-by-step explanation:

we can easily count this, as the diagonal lines are squares truly in half. so, 2 such cut squares are in total 1 full square.

there is one central rectangle of 4×6 squares = 24.

then in the upper left corner there is a small 2×2 square = 4.

and then we have in the bottom left 2 and the bottom right also 2 small triangles (4 in total) with each having 1 full square and 2 half-squares (2 squares in total) as area.

so, 4×2 = 8 squares.

so, the whole area is

24 + 4 + 8 = 36

What is the solution to the inequality |3x – 12| ≥ 6?

A.) –6 < x < 18
B.) 2 < x < 6
C.) x < –6 or x > 18
D.) x ≤ 2 or x ≥ 6

Answers

Answer:

D

Step-by-step explanation:

|3x – 12| ≥ 6  put it into 2 cases

3x - 12 ≥ 6         or         3x - 12 ≤ -6

3x ≥ 18              or         3x ≤ 6

x ≥ 6                  or         x ≤ 2

can you help me please I pay you £50

Answers

Answer:

(-3,4), (-3,1), and (-5,1)

Pls help me! Will give brainest to whoever is correct

Answers

Answer:

When x= 3,

2x => 6

5x+ 1 => 16

According to the pythagorus theorem,

hypotenus²= base² + height²

hypotenus²=  6² + 16²

hypotenus = √ 292 = 17.1

answer option no. 3

Answer:

2. 17.1 units

Step-by-step explanation:

x=3

2 x 3=6

5 x 3 + 1=16

6² + 16²=c²

36 + 256=c²

292=c²

[tex]\sqrt{292}[/tex]=17.0880075

c=17.1

Which term describes the distribution of this graph?

uniform

skewed left

normal

skewed right
Dot plot. Number line from 4 to 11. 4 dots above 5, 4 dots above 6, 4 dots above 7, 4 dots above 8, 4 dots above 9, and 4 dots above 10. PLEASE HELPPPPP 61 POINTSS

Answers

Answer:

Its skewed right

Step-by-step explanation:

I did the quiz and that was the answer

The distribution of this graph is Uniform.

The correct option is A.

Based on the provided dot plot, where there are 4 dots above each value from 5 to 10, the distribution can be described as uniform.

Uniform distribution refers to a distribution where the data points are evenly spread out across the range without any noticeable skewness or clustering. In this case, since there are an equal number of dots above each value within the given range, the distribution is uniform.

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There are 26 tiles in a bag. Of these, 15 are purple, and the rest are yellow. What are the odds in favor of drawing a yellow tile?

Answers

Answer:

A

Step-by-step explanation:

because 26-15=11. Then 11:26! Hope I helped:)

The odds in favor of drawing a yellow tile is 11/26

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

Total tiles 26 in a bag

purple tiles = 15

yellow tiles= 26-15

                  = 11 tiles

So,  the odds in favor of drawing a yellow tile is 11/26.

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3.) Sanaa played a trivia game. Each correct answer is worth 24 points, and
each incorrect answer is worth- 1points. She got 15 answers correct and
got 15 incorrect answers. What was Saniyah's score?

Answers

Answer:

one correct answer =24pts

therefore, 15 correct answers = 24 × 15 = 360pts

one incorrect answer = 1pts

so, 15 incorrect answers = 1 × 15 = 15pts

Saniyah's score = 360 - 15 = 345pts

Expand and Simplify Fully
5(2k+2)+3(K-5)

Answers

Answer:

[tex]13k - 5[/tex]

Step-by-step explanation:

[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]

Find the equivalent expression using distributive property.

Answers

Answer:

C

Step-by-step explanation:

[tex]3(7x-8)\\\\=3(7x)-3(8)\\\\=21x-24[/tex]

Bryan interviewed 24 students to see whether they collected sports cards and whether they participated in sports. The table shows his data. How many of the students interviewed do not collect sports cards?

Answers

Since the sports card collecting and sports participation is directly proportional.
So,
∴6/3 = x/7
⇒2 = x/7
⇒x=14
∴14 students interviewed do not collect sports cards. Option (C) is correct

The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

Answer:

y=2x

Step-by-step explanation:

An airplane takes off from an airport. When the
airplane reaches a height of 16,500 feet (ft), the
airplane has travelled a horizontal distance of 6,000 ft,
as shown in the diagram below.

Answers

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

Calculation of the distance travelled

To calculate the angle of elevation of the airplane

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

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Two pirates were playing with golden coins. During game, the first pirate lost half of his coins to the second pirate, then the second pirate lost half of his coins to the first pirate, then again the first lost half of his coins to the second. At the end of the game, the first pirate had 21 coins, and the second had 45 coins. How many coins did the first pirate have initially?

Answers

Answer: 33
1st Pirate 2nd Pirate
Lost 1/2 Gained 1/2
Gained 1/2 Lost 1/2
Lost 1/2 Gained 1/2
End#: 21 End#: 45

Add 21 and 45
Which equals 66
Then divide 66 by two
Which equals 33
So both pirates started off with 33 coins each

So now we apply the losses and gains to those coins

1st Pirate: 33 2nd Pirate: 33
-1/2= 16.5 +1/2= 49.5
+1/2=41.5 -1/2= 24.75
-1/2= 20.75 +1/2= 45.5

Round 20.75 to the Round 45.5 half down:
nearest integer: = 45
= 21


Write an equation for the function graphed above.

Answers

Answer:

y = 4 * sec x - 1

Step-by-step explanation:

From looking at the graph we can safely determine it's either CSC x or SEC x.

It SEC x because at the origin of it is exactly the same. Now we determine whether it has a vertical/horizontal stretch/shrink and translation shift.

Seeing it is a vertical stretch by 4 and translation 1 down.

I am not sure how to explain it in the more correct way. I have graphed it just to confirm if it is similar to your graph.

volume of the house?​

Answers

Answer:

Step-by-step explanation:

1.5 x 4.5 x 4.5 = 30.375

30.375  ÷ 3 = 10.125

10.125= volume of the triangle

3 x 4.5 x 4.5 = 60.75

60.75 = volume of rectangle

60.75 + 10.125 = 70.875

70.875 = total volume

When you pay with a debit or ATM card, you are not borrowing money. You are
spending your own money. When you pay with a credit card, you are always
borrowing money.
True.
False.

Answers

This is true. Debit card payment is out of your own pocket, while Credit card debt is borrowed money that must be paid back later.

Find the compound amount and interest if Php. 400,000 is invested at 8 %, compounded quarterly for 5 years and 6 months?

Answers

Answer:

618 391 .87

Step-by-step explanation:

5 years 6 months = 22 quarters

8% = .08      .08/4 = .02 interest per period

400 000 ( 1 + .02)^22 = 618 391.87

Please solve with explanation (high points)

Answers

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

How to find angles by trigonometric relationships

As planes ABCD and BCLK are perpendicular to each other, the triangles AKL and AKC are right angled. The required angles can be found by using the following trigonometric relationships:

[tex]\angle AKL = 90^{\circ}[/tex] (As line segments AK and KL are perpendicular to each other)

[tex]\angle AKC = \tan^{-1} \left(\frac{AC}{KC} \right) = \tan^{-1} \left(\frac{\sqrt{2}\cdot a}{\sqrt{5} \cdot a} \right) = \tan^{-1} \sqrt{\frac{2}{5} }[/tex] (as line segments AC and KC are perpendicular to each other)

[tex]\angle AKC \approx 32.312^{\circ}[/tex]

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

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What is the value of x

Answers

Applying the leg rule, the value of x in the right triangle is: 8.9 units.

What is the Leg Rule?

The leg rule is given as:

hypotenuse/leg = leg/part

Given the following:

Hypotenuse = 11 + 5 = 16 unitsLeg = xPart = 5

Plug in the values

16/x = x/5

x² = 16×5

x² = 80

x = √80

x = 8.9 units.

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Does anyone know the answer? Please and Thank you!

Answers

Answer:

By multiplying both side with the inverse of the coefficient of x

Step-by-step explanation:

coefficient of x = -6/4

inverse of coeefficient =-4/6.

multiply both sides.

x = 12(-4/6) = -8

A vegetable garden has 3 tomato plants for every 5 lettuce plants. How many tomato plants are there if there are 45 lettuce plants?


Please help ( no PDF)

Answers

Answer:

the answer is 27

Step-by-step explanation:

because 45 divided by 5 equals 9

and 9 times 3 equals 27

Points B, D, and F are midpoints of the sides of triangle ACE. EC = 39 and DF = 23. Find AC. The diagram is not to scale.

Answers

Answer:

  46

Step-by-step explanation:

The midsegment DF has half the length of the side AC it is parallel to.

__

AC = 2×DF = 2×23

AC = 46

What is the radius and diameter of the following circle?
16 cm
Radius =
cm
Diameter =
cm

Answers

Answer:

Alright so there are two ways

Step-by-step explanation:

If your radius is 16cm, then the diameter equals 32cm

If your diameter is 16cm, then your radius equals 8cm

Solve using the quadratic formula

x^2 - 8x - 84 = 0

Show all work

Answers

Answer:

x²-8x-84

Using quadratic Formular -b±√b²-4ac/2a

--8±/8²-4×1×-84 /2×1

8±/64+336/2

8±/400/2

8±20/2

8+20/2, 8-20/2

28/2, -12/2

14,-6

Every week a company provides fruit for its office employees. They can
choose from among five kinds of fruit. Which probabilities correctly complete
this probability distribution for the 50 pieces of fruit, in the order listed?
Fruit
Apples Bananas Lemons Oranges Pears
Number of pieces
10
15
6
14
5
Probability
A. Probability 0.16 0.2 0.1 0.3 0.24
OB. Probability 0.2 0.3 0.12 0.28 0.1

Answers

Answer:

B

Step-by-step explanation:

Probability of apple :

No. of apple / No. of fruits10/500.2

Probability of banana :

No. of banana / No. of fruits15/500.3

Probability of lemon :

No. of lemon / No. of fruits6/500.12

Probability of orange :

No. of orange / No. of fruits14/500.28

Probability of pear :

No. of pear / No. of fruits5/500.1

The correct probability distribution for the 50 pieces of fruit, in the order listed is shown in option B. 0.2  0.3  0.12  0.28  0.1

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Total pieces of fruits = 50 pieces

Number of apple pieces = 10

Probability of apple pieces from the whole pieces = 10/50 = 0.2

Number of banana pieces = 15

Probability of banana pieces from the whole pieces = 15/50 = 0.3

Number of lemon pieces = 6

Probability of lemon pieces from the whole pieces = 6/50 = 0.12

Number of orange pieces = 14

Probability of orange pieces from the whole pieces = 14/50 = 0.28

Number of pear pieces = 5

Probability of pear pieces from the whole pieces = 5/50 = 0.1

Hence the correct probability are B. Probability 0.2 0.3 0.12 0.28 0.1.

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what is the value of c so that 9x^2 + 15x + c = 0 has one rational solution

Answers

Answer:

c=-9x^2-15x

Step-by-step explanation:

Answer:

c = 6.25

Step-by-step explanation:

For this to occur, the discriminant of the quadratic formula must = 0

b^2 - 4ac = 0

15^2 - 4(9)(c) = 0

36c = 225

c = 6.25

Does this graph show a function? Explain how you know.
5
O A. No; the graph fails the vertical line test.
B. Yes, there are no y-values that have more than one x-value.
C. Yes; the graph passes the vertical line test.
D. No; there are y-values that have more than one x-value.

Answers

Answer: A. No; the graph fails the vertical line test.

The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.

For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.

Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.

The average temperature at the North Pole is – 26˚ F. The average temperature on the Equator is 92˚ F. How much warmer is the average temperature on the Equator than at the North Pole?

Answers

118 Degrees warmer if you subtract them

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of X in the rhombus

X=____

Answers

Answer:

x = 2

Answer is explained in image itself.

I’m stuck on this question. Help please

Answers

Answer:

Salt: 1, 2, 4

Pepper: 1/2, 1, 2

Garlic Powder: 1/4, 1/2, 1

Onion Powder: 1/4, 1/2, 1

Step-by-step explanation:

The batches are doubling each time.

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