A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​

Answers

Answer 1

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = [tex]21m^3[/tex]

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

[tex]V = \pi r^2h[/tex]

Substitute 21 for V; this gives

[tex]21 = \pi r^2h[/tex]

Divide both sides by h

[tex]\frac{21}{h} = \frac{\pi r^2h}{h}[/tex]

[tex]\frac{21}{h} = \pi r^2[/tex]

The next step is to solve for the volume of the sphere using the following formula;

[tex]V = \frac{4}{3}\pi r^3[/tex]

Divide both sides by r

[tex]\frac{V}{r} = \frac{4}{3r}\pi r^3[/tex]

Expand Expression

[tex]\frac{V}{r} = \frac{4}{3}\pi r^2[/tex]

Substitute [tex]\frac{21}{h} = \pi r^2[/tex]

[tex]\frac{V}{r} = \frac{4}{3} * \frac{21}{h}[/tex]

[tex]\frac{V}{r} = \frac{84}{3h}[/tex]

[tex]\frac{V}{r} = \frac{28}{h}[/tex]

Multiply both sided by r

[tex]r * \frac{V}{r} = \frac{28}{h} * r[/tex]

[tex]V = \frac{28r}{h}[/tex] ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

[tex]h = D[/tex] , where D represents diameter of the sphere

Recall that [tex]D = 2r[/tex]

So, [tex]h = D = 2r[/tex]

[tex]h = 2r[/tex]

Substitute 2r for h in equation 1

[tex]V = \frac{28r}{2r}[/tex]

[tex]V = \frac{28}{2}[/tex]

[tex]V = 14[/tex]

Hence, the volume of the sphere is 14m³

Answer 2

Answer:

14 m³

Step-by-step explanation:

We have:

[tex]Cylinder:\\\R-\text{radius}\\H=2R-\text{height}\\V_C-\text{volume};\ V_C=21m^3\\\\\text{the formula of a volume of a cylinder:}\ V=\pi R^2H\\\\V_C=\pi R^2(2R)=2\pi R^3[/tex]

[tex]Sphere:\\\R-\text{radius}\\V_S-\text{volume}\\\\\text{the formula of a volume of a sphere:}\ V=\dfrac{4}{3}\pi R^3[/tex]

[tex]Let's\ transform\ V_C:\\\\2\pi R^3=21\qquad\text{divide both sides by 2}\\\\\pi R^3=\dfrac{21}{2}\qquad\text{multiply both sides by}\ \dfrac{4}{3}\\\\\dfrac{4}{3}\pi R^3=\dfrac{21}{2}\cdot\dfrac{4}{3}\to V_S=\dfrac{(21:3)\cdot(4:2)}{(2:2)\cdot(3:3)}=\dfrac{7\cdot2}{1\cdot1}=\dfrac{14}{1}=14\ (m^3)[/tex]


Related Questions

5/7x =55 what is x ??

Answers

Divide 55 by 5/7, and you’ll get x.

55/(5/7) = 55*(7/5) = 11*7 = 77 = x

The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18. Weights of Dogs in Shelter B Which is true of the data in the box plots? Select three choices. The median weight for shelter A is greater than that for shelter B. The median weight for shelter B is greater than that for shelter A. The data for shelter A are a symmetric data set. The data for shelter B are a symmetric data set. The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answers

Answer:

A: The median weight for shelter A is greater than that for shelter B.

D: The data for shelter B are a symmetric data set.

E: The interquartile range of shelter A is greater than the interquartile range of shelter B.

Step-by-step explanation:

edg2020

Final answer:

From the box plots, we can conclude three things: (1) the median weight for Shelter A is greater than that for Shelter B, (2) neither Shelter A's nor Shelter B's data is symmetric, and (3) Shelter A has a greater interquartile range than Shelter B.

Explanation:

The box plots given provide valuable information about the weights of the dogs in two shelters. The line dividing the box represents the median weight of the dogs. For Shelter A, the median weight is 21 and for Shelter B, the median weight is 18. Therefore, the statement that the median weight for Shelter A is greater than that for Shelter B is correct.

Next, it's crucial to understand the concept of symmetry in the data set. If a data set is symmetric, the whiskers (that represent the variation or spread of the data) of the box plots would be roughly of equal lengths, indicating uniform spread around the median. Given the information, neither Shelter A nor Shelter B display symmetric whisker lengths, so the data for neither shelter A nor B is a symmetric data set.

Finally, the Interquartile Range (IQR) represents the range within which the central half of the weights lies — it is the difference between the third quartile (the right end of the box) and the first quartile (the left end of the box). For Shelter A, the IQR is 28 - 17 = 11, and for Shelter B, the IQR is 20 - 16 = 4. Therefore, the interquartile range of shelter A is indeed greater than the interquartile range of shelter B.

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Select two ratios that are equivalent to 2:92:92, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 9:29:29, colon, 2 (Choice B) B 18:8118:8118, colon, 81 (Choice C) C 12:5412:5412, colon, 54 (Choice D) D 18:418:418, colon, 4 (Choice E) E 20:4520:45

Answers

Answer:

The only options equivalent to 2:9 are B and C.

Step-by-step explanation:

A ratio is a comparison between two or more numbers.

When two ratios are equivalent, they describe the same relationship between numbers.

An equivalent ratio is to a number is usually the same ratio in which the numerator and denominator (first and second number) have been multiplied by a common multiple.

To find if two ratios are equivalent, we have to put them in their simplest forms and compare.

The ratio we are comparing other ratios with is 2:9

So, we will put all other ratios in their simplest form and see if it gives us 2:9

A. 9:2 - This is already in its simplest form and it is not equal to 2:9.

B. 18:81 - To put this in simplest form, we divide both numbers by 9:

18:81 = 2:9

Hence, this is an equivalent ratio to 2:9.

C. 12:54 - To put this in simplest form, we divide both numbers by 6:

12:54 = 2:9

Hence, this is an equivalent ratio to 2:9.

D. 18:4 - To put this in simplest form, we divide both numbers by 2:

18:4 = 9:2

This is not the same as 2:9.

E. 20:45 - To put this in simplest form, we divide both numbers by 5:

20:45 = 4:9

This is not the same as 2:9.

The only options equivalent to 2:9 are B and C.

Answer:

The answer is way to easy for me: B and C

What is the value of x? Help!!

Answers

Answer:

x= 120

Step-by-step explanation:

Since this is an equilateral triangle all of its angles inside of it equal to 60 degrees. Therefore 180 - 60 = 120.

I don’t know this one

Answers

Answer:

3077.2

Step-by-step explanation:

A circle's mass is found by

Pie times R^2

7^2 is 49, times 3.14 is 153.86

then you Multiply 153.86 by 20 which gives you 3077.2

Volume of a cylinder = pi r^2 * h
Pi 7^2 * 20
Volume = 49 pi

Density = mass/ volume
2.5= mass/ 49 pi
Mass= density * volume
= 2.5*49 pi
= 245/2 pi
= 384.845...
=384.8 g to 1 dp


Answer= Volume

A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay?

Answers

Answer:

$ 32.63

Step-by-step explanation:

$3200 -$ 2156 = $ 1044

Therefore $ 1044 divided by 32 equal $ 32.625.Round it to the nearest hundreth and you get $ 32.63.

Each student have to pay $32.625.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park.

The trip will cost $3,200 and they have raised $2,156.

Now,

Since, The trip will cost $3,200 and they have raised $2,156.

Hence, The remaining cost to pay by students = $3,200 - $2,156

                                                                        = $1,044

So, The cost pay by each students = $1,044/32

                                                      = $32.625

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Amy has $26 to spend on school supplies. After buying a notebook for $3.50 and 8 pens of equal cost, she had $16.18 left. Write an equation representing the money Amy spent.

Answers

Answer:

26-3.50-8x=16.18

Step-by-step explanation:

To create an equation representing what she spent, we need to start with the money she had and end with the money she has left.

We know that she originally had $26, but when she was done shopping, she had $16.18. To get from $26 to $16.18, you have to subtract the cost. That gives you 26 - [ cost ] = 16.18

We know that she spent $3.50 on a notebook and  8 pens of an unknown cost. The unknown cost can be represented by x. To find the total cost, you must add the costs of what she bought together. That gives you 3.50 - 8x.

Plug the expression of the cost into the equation, and boom it's done.

26 - 3.50 - 8x = 16.18

Final answer:

To find the equation representing the money Amy spent on school supplies, we can use the given information and set up an equation. By solving the equation, we can find the cost of one pen and calculate the total amount of money Amy spent.

Explanation:

To represent the money Amy spent, we need to find the cost of 8 pens. Let the cost of one pen be x. The notebook cost $3.50, so the total money spent on the notebook and pens can be represented as:

$3.50 + 8x

According to the problem, Amy had $16.18 left after buying the notebook and pens. So we can set up the equation:

$26 - ($3.50 + 8x) = $16.18

Simplifying the equation, we have:

$26 - $3.50 - 8x = $16.18

$22.50 - 8x = $16.18

Subtracting $22.50 from both sides, we obtain:

-8x = -$6.32

Multiplying both sides by -1, we get:

8x = $6.32

Dividing by 8 on both sides, we have:

x = $0.79

Therefore, the cost of one pen is $0.79.

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6−by=19 what does y equal

Answers

assuming you put the B there on accident the answer would be -13

The solution of given equation 6−by=19 is [tex]y = \frac{-13}{b}[/tex].

To find the value of y in the equation 6−by=19, subtract 6 from both sides, then divide by -b to isolate y as -13/b.

The variable y in the equation 6−by=19 can be solved for as follows:

6 -by =  19

Subtract 6 from both sides:

-by = 19 - 6

-by = 13

Divide by -b to isolate y is

[tex]y = \frac{13}{-b} = -\frac{13}{b}[/tex]

Therefore, y equals -13 divided by b.

Find the surface area of the square pyramid. *

Find the surface area of the rectangular prism. *

Find the total surface area of the composite figure. *

Answers

Answer:

45

Step-by-step explanation:

The surface area of the square pyramid, square prism, and total surface area will be 103 square mm, 429 square mm, and 532 square mm, respectively.

What is the area?

The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The surface area of the square pyramid is calculated as,

SA of pyramid = 4 x 1/2 x 5 x 10.3

SA of pyramid = 103 square mm

The surface area of the rectangular prism is calculated as,

SA of prism = 4(13 x 5) + 13 x 13

SA of prism = 429 square mm

The total surface area of the composite figure is calculated as,

TSA = 103 + 429

TSA = 532 square mm

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How to find the surface area of the regular pyramid .Write your answer as a decimal. The problem is 9 cm, 7 cm. But the area of the base is 84.3 cm2. Give me the rest of answer.

Answers

Final answer:

To calculate the surface area of a regular pyramid, add the area of the base to the combined area of the triangular faces. The base area is known, but without the base perimeter or side lengths, the total surface area cannot be determined.

Explanation:

To find the surface area of a regular pyramid, we need to first know the surface area of the base, which is given as 84.3 cm². Then, we must calculate the surface area of the triangular faces. The student has provided the slant height (9 cm) and the base of the pyramid, but the length of the base side is not clear from the question. Typically, the formula for the surface area (SA) of a regular pyramid is SA = base area + 1/2 × perimeter of base × slant height. Since the area of the base is known, we only need the perimeter of the base to continue. If that perimeter or the number of sides and the length of each side were provided, we could use it to find the area of each triangle using the formula for the area of a triangle, which is 1/2 × base × height, and then multiply it by the number of triangles (sides) the pyramid has to get the total area of the triangular faces. This sum, along with the base area, would give us the total surface area of the pyramid. Without the individual side lengths or the perimeter, an exact surface area cannot be calculated.

The value of a computer is $1200. It loses 20% of its value every year. Write a function the represents the value y (in dollars) of the computer after t years. The find the value of the computer after 5 years.

Answers

y = 1200(.80)^t  Plug in 5 for t (time).

y = 1200(.80)^5

.80^5= 0.33

0.33 x 1200 = 395

Therefore, the value of the computer after 5 years has deteriorated to $396.

The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a (1 - r)ˣ

The value of a computer is $1200. It loses 20% of its value every year. Then the equation is given as,

y = $1200 × (1 - 0.20)ˣ

y = $1200 × (0.80)ˣ

Where 'x' is the number of years and 'y' is the amount. Then the value of the computer after 5 years will be given as,

y = $1200 × (0.80)⁵

y = $1200 × 0.32768

y = $393.22

The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.

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North Carolina has 12 less electoral votes than Florida. Write & solve a subtraction equation to find the number of electoral votes for Florida. North corolina 15

Answers

Answer: There are 27 votes for Florida.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of votes of North Carolina (15) must be equal to the number of votes of Florida (x) minus 12.

Mathematically speaking:

15 = x -12

Solving for x:

15+12 = x

27 = x

There are 27 votes for Florida.

Feel free to ask for more if needed or if you did not understand something.  

Help me answer this question

Answers

Answer:

  see below

Step-by-step explanation:

A parallelogram has ...

opposite sides parallelopposite sides congruentopposite angles congruentadjacent angles supplementary

__

If the opposite angles are supplementary (add up to 180°), then they must both be 90°, and the parallelogram is a rectangle.

It is NOT always true that opposite angles add up to 180°.

Suppose the skater loses the function of one of their body systems. Can the skater continue to skate with a body system that is not functioning properly

Answers

Answer:

No, the skater cannot

Step-by-step explanation:

Base on the scenario been described in the question, we can see that the skater loses what part of his body which he use for the sporting activities of skating, unfortunately he loses it, so he cannot be able to continue skating. Because his body system will not function properly

The answer to this question

Answers

Answer: b

Explanation:

Draw a Tree Diagram to determine the number of outcomes for a lunch plate given that you have the choice of one item from each group.

Sandwich -- chicken salad, turkey, or grilled cheese
Side -- chips, french fries, or fruit cup
Drink -- soda or water
A) 8
B) 9
C) 12
D) 18

Answers

Answer:

A

Step-by-step explanation:

Answer:

D) 18

Step-by-step explanation:

Use the image shown and a scale factor of 1/2 to find
the pre-image. Which is the pre-image of A'?
• (-1, -1)
• (-2,-2)
•(-4,-2)
•(-4,-4)

THE ANSWER IS D

Answers

The pre-image of A' is (-4,-4), and the correct option is D.

What is the scale factor?

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

The image is shown and a scale factor of 1/2 to find the pre-image.

[tex]\rm Scale\ factor = \dfrac{Dimension\ of\ New \ Shape}{Dimension\ of \ Original \ Shape}\\\\Dimension\ of\ New \ Shape= Scale\ factor \times Dimension\ of \ Original \ Shape\\\\A' =\dfrac{1}{2}(-8, \ -8)\\\\A' =(-4,-4)[/tex]

Hence, the pre-image of A' is (-4,-4), and the correct option is D.

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Edwin Chargaff determined that the amount of adenine (A) is equal to the amount of thymine (T ) in a DNA sample. He also determined that the amount of cytosine (C) is equal to the amount of guanine (G). Thus, A always pairs with T and and C always pairs with G in the complementary DNA strand. Knowing this information, what would be the complementary strand of DNA for ATCGGC?

Answers

Answer:

This should be a biology question. But the answer is: Complemetary strand will be  TAGCCG

Step-by-step explanation:

what would be the complementary strand of DNA for ATCGGC?

A always pairs with T and and C always pairs with G in the complementary DNA strand.

DNA sequence is                     ATCGGC

Complemetary strand will be  TAGCCG

Fine the measure of a.
A.37
B.39
C.60
D.62

Answers

Step-by-step explanation:

Step 1:  Find the angle a

All triangles add up to 180 degrees

81 + 62 + a = 180

143 + a = 180

a = 180 - 143

a = 37

Answer:  Option A, 37

the sum of angles of triangle is 180 so;
a = 180 - ( 62 + 81 ) = 37°

Given:
- KLMN is a trapezoid
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.

Answers

Answer:

45 degrees

Step-by-step explanation:

If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8

LN =  sqrt(HN^2 + LH^2) -->

LN = sqrt89 sqrt(8^2 + LH^2) -->

89 = 64 + LH ^2 -->

25 = LH^2 -->

LH = 5

Because HN  = 8, HK = 13 - 8 = 5

That makes both legs equal, which makes m∠LKN = 45 degrees

The angle  m∠LKN is equal to 45 degrees.

To understand more, check below explanation.

Trapezoid :

It is given that,

KL = MN, LM =3 , KN = 13 and LN [tex]=\sqrt{89}[/tex]

So that, HN = 13 - (13-3)/2 = 13 - 5 = 8

    [tex]LN = \sqrt{(HN)^{2}+(LH)^{2} }\\\\\sqrt{89} = \sqrt{(8)^{2}+(LH)^{2} }\\\\89=64+(LH)^{2} \\\\LH=\sqrt{25}=5[/tex]

Since,  HN  = 8. So that,  HK = 13 - 8 = 5

In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.

In triangle LKH,   LH = HK = 5 and [tex]\angle H=90[/tex]

So that,     m∠LKN = 90/2 = 45 degree.

Hence, the angle  m∠LKN is equal to 45 degrees.

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im basically begging for help rn!!

Answers

Step-by-step explanation:

[tex]a_n = \frac{2n}{n + 6} \\ \\ a_1 = \frac{2 \times 1}{1 + 6} = \frac{2}{7} \\ \\ a_2 = \frac{2 \times 2}{2 + 6} = \frac{4}{8} = \frac{1}{2} \\ \\ a_3 = \frac{2 \times 3}{3 + 6} = \frac{6}{9} = \frac{2}{3} \\ \\ a_4 = \frac{2 \times 4}{4 + 6} = \frac{8}{10} = \frac{4}{5} \\ [/tex]

Using 3.14 for pi, what is the volume, to the nearest tenth, of a cone that has a height of 16 feet and a base with radius

Answers

Answer:

what is the radius given?

Step-by-step explanation:

With a height of 16 feet and a base radius of 5 feet, the volume of the cone is approximately 418.67 cubic feet, rounded to the nearest tenth.

To find the volume  V  of a cone, we use the formula:

[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]

Where:

[tex]- \( \pi \)[/tex] is approximately 3.14

-  r is the radius of the base of the cone

-  h is the height of the cone

Given that the height h is 16 feet and the radius r is 5 feet, we substitute these values into the formula:

[tex]\[ V = \frac{1}{3} \times 3.14 \times (5)^2 \times 16 \]\[ V = \frac{1}{3} \times 3.14 \times 25 \times 16 \]\[ V = \frac{1}{3} \times 3.14 \times 400 \]\[ V = \frac{1256}{3} \]\[ V \approx 418.67 \][/tex]

So, the volume of the cone is approximately 418.67 cubic feet.

Complete question : Using 3.14 for pi, what is the volume, to the nearest tenth, of a cone that has a height of 16 feet and a base with radius of 5 feet.

Sheri and Tim are both selling raffle tickets at a volleyball tournament.


The table below shows the total number of raffle tickets Sheri sold at different times of the day.


Tim uses the equation below to show the number of tickets, t, he has sold after h hours.


t = 14h


Which of the following best describes the relationship of these two rates?

A. The rate that Tim sells raffle tickets is half the rate that Sheri sells raffle tickets.


B. The rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.


C. The rate that Sheri sells raffle tickets is 7 times the rate that Tim sells raffle tickets.


D. The rate that Sheri sells raffle tickets is the same as the rate that Tim sells raffle tickets.

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Let’s write the equation for Tim according to the question, that is t = 14h

Now for sheri, looking at the table, we can see that in two hours, he sells 14 tickets . This means that he sells at an average rate of 7 tickets per hour

Modeling his selling rate, with t being the number of tickets and h being the number of hours, we have;

t = 7h

Tim’s rate is t/h = 14

While sheri’s rate is t/h = 7

We can see that Tim’s rate is double Sheri’s rate

The rate of a linear function is simply the slope of the function.

The true statement is (b) the rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.

Tim's equation is given as:

[tex]t = 14h[/tex]

A proportional linear equation is represented as:

[tex]t = mh[/tex]

Where m represents the slope/rate.

This means that:

[tex]m = 14[/tex] --- Tim's rate

The slope of Sheri's table is calculated using:

[tex]m = \frac{y_2-y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{28 -14}{12 -10}[/tex]

[tex]m = \frac{14}{2}[/tex]

[tex]m = 7[/tex] ---- Sheri's rate

By comparison:

[tex]14 = 7 \times 2[/tex]

This means that: Tim's rate doubles Sheri's rate.

Hence, the true statement is (b)

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The height requirement for the Star Speed roller coaster is 54 inches. Even after growing 3 inches since last summer, Dakota is too short to ride. Let x represent how tall Dakota was last summer. X+3<54: Solve the inequality. Then, complete the sentence to describe the solution.Dakota was less than ____ inches tall last summer.

Answers

Answer: Dakota was less than 51 inches last summer.

Step-by-step explanation: First of all let us represent Dakota's height last summer by letter x.

The height requirement for the roller coaster is given as 54 inches. This means Dakota must be 54 inches or higher in order to be allowed on the ride. However, Dakota is too short to ride. This can be represented mathematically as x < 54.

If However, last summer Dakota grew 3 inches taller, then we can also represent this mathematically as x + 3 < 54.

To solve for this;

x + 3 < 54

Subtract 3 from both sides of the inequality

x < 51. (That is x is less than 51)

Since Dakota's height has been represented by x, we can now interpret this inequality as;

Dakota was less than 51 inches tall last summer.

A box falls off a warehouse shelf from a height of 16 feet. The function h=−16x2+16 gives the height h (in feet) of the box after x seconds. When does it hit the floor?

Answers

The box hits the floor after 1 second.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The function h = -16x²+ 16 gives the height h (in feet) of the box after x seconds. To find when the box hits the floor, we need to find the value of x when h = 0 (since the height of the box will be zero when it hits the floor).

So we can set the function equal to zero and solve for x:

-16x² + 16 = 0

Dividing both sides by -16, we get:

x² - 1 = 0

Factoring the left side, we get:

(x - 1)(x + 1) = 0

So the solutions are x = 1 and x = -1. However, we are only interested in the positive value of x since time cannot be negative.

Therefore, the box hits the floor after 1 second.

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Final answer:

The function h=[tex]-16x^2+16[/tex] represents the height of a falling box. To find when it hits the floor, substitute h=0 into the function and solve for x.

The box hits the floor after 1 second.

Explanation:

The box falls from a height of 16 feet, and the function h=[tex]-16x^2+16[/tex]represents the height of the box after x seconds.

Substitute h=0 into the function to find when the box hits the floor:

0 =[tex]-16x^2 + 16[/tex]

Solve for x to find the time it hits the floor.

[tex]x^{2} =\frac{16}{16}[/tex]

[tex]x=1[/tex]

The box hits the floor after 1 second.

Find the area of the shape shown below.
3
3
7
And it’s not 63

Answers

Answer:

Area = 31.5 (I think)

Step-by-step explanation:

Split into 3 parts:

Rectangle: 7 · 3 = 21

Triangle 1: 3 · 3.5= 10.5

10.5 ÷ 2 = 5.25

Triangles(they are the same): 5.25 · 2 = 10.5

Area: 10.5 + 21 = 31.5

Area = 31.5

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24
meters.

What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
5 meters
8 meters
10 meters
12 meters

Answers

Answer: The answer is 5 meters

Step-by-step explanation: Plss trust me i actualy thought about it.. XD

At $15.75 per hour, how much did she make per day?
118.00
118.13
119.15
125.00

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

It is given that she work for 7.5 hours at a rate of $15.75 per hours. In order to calculate how much she earned, you have to multiply it :

$15.75 = 1 hour

$ x = 7.5 hours

x = 7.5×$15.75

x = $118.13 (2d.p)

A bag of marble comes with three blue A bag of marble comes with three blue marbles, two red marbles, and five yellow marbles what is the ratio of red to yellow

Answers

2:5 is the ratio of red to yellow

If you help me get this right i will give you brainly, and 5 stars! tysm

Answers

Answer:

1.a

2.b

Step-by-step explanation:

The first column is the domain, while the second column is the range. Therefore, 1 is a, and 2 is b. Hope this helps!

Answer
1. A
2.B

The domain is the left side and the Range is the right
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