Mathematics High School

## Answers

**Answer 1**

H = A - 2LW / 2 (L+W)

## Related Questions

Ryan wrote the prime factorization shown below. If he continues this pattern, what prime factorization will he show for the number one million? What prime factorization will he show for one billion? 10= 5•2

100= 5 to the 2nd power • 2 to the second power

1000= 5 to the 3rd power • 2 to the third power

### Answers

Ryan's answer is 23, your welcome

Answer:

23

Step-by-step explanation:

1 milllion is a thousand

That's 10^6

10=2*5

1 million= 2⁶ times 5⁶ or 2*2*2*2*2*2*5*5*5*5*5*5

billion is 1000 times that so

That's 10⁹ so prime factors are 2⁹ times 5⁹ or

2*2*2*2*2*2*2*2*2*5*5*5*5*5*5*5*5*5

Function fis an exponential function. X I Y

-4 I 3/16

-2 I 3/4

0 I 3

2 I 12

4 I 48

By what factor does the output value increase as each input value increases by 1?

Enter your answer in the box.

### Answers

We are asked for the multiplicative rate of change which can be solved by

MROC = (y2/y1) / (x2 - x1)

Since the given data belong to an exponential function, any consecutive data pairs can be chosen

MROC = (3/4 / 3/16) / (-2 - (-4))

MRCO = 2

The multiplicative rate of change is 2.

A farmer needs to build a goat pen. The pen will be 7 meters wide and 10 meters long. The fencing material costs $1.00 per meter. How much will it cost to buy enough fencing material to build the goat pen?

### Answers

Simple, $70.00!

Just multiply the amount of meters wide by long (7 x 10) and slap a dollar sign on that thing!

It will cost him $70 to build it

Nine cooks take 4 hours to prepare a school lunch. How long would 6 cooks take to prepare the lunch?

### Answers

Then 6 cooks takes 6 hours to prepare a lunch

Which is the correct input-output table for the function f(x) = 7 – 4.5x?

### Answers

Input (x): 1 3 4 6 10

Output f(x): 2.5 -6.5 -11 -20 -38

*Answer B on PLATO

Step 1: Divide both sides by x.fxx=−4.5x+7xf=−4.5x+7xAnswer:f=−4.5x+7x

Each side of a square office is 4 meters long. It will cost $69.44 per square meter to replace the carpet in the office. What would be the total cost to replace the carpet?

### Answers

Area of office = 16m^2

cost = 16 x 69.44 = $1111.04

500 people were surveyed and asked whether had donated food or money to local charities in the past year. 80had donated food, 150had donated money, and 45had donated both. What is the probability that a person chosen and random has donated food or money? Express your answer asa decimal rounded to the nearest hundredth.

### Answers

80 + 150 - 45 = 185 (take away 45 as that was duplicated in the groups)

185/500 = 0.37

14.8 people donated to the poor

Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

### Answers

A sequence is a set of numbers constant, it is all regular -

The outputs have a pattern,

Hope that helps, I can't do much without seeing the set of numbers

Solve the equation 10x + 9y = 5z - 8w for x. What is the coefficient for w?

### Answers

Step 1: Flip the equation.−8w+5z=10x+9yStep 2: Add -5z to both sides.−8w+5z+−5z=10x+9y+−5z−8w=10x+9y−5zStep 3: Divide both sides by -8.−8w−8=10x+9y−5z−8w=−54x+−98y+58zAnswer:w=−54x+−98y+58z

U and v are position vectors with terminal points at (-5, 11) and (7, 8), respectively. Find the terminal point of u + 3v. (-16, 35)(-6, 22)(6, 35)(16, 35)

### Answers

The terminal points are

u (-5,11) and

v (7,8)

Therefore, the terminal point of u + 3v is

For the x coordinate

-5 + 3(7) = 16

For the y coordinate

11 + 3(8) = 35

The answer is the fourth option

(16, 35)

A pilot flies a plane due west from 150 miles, then turns 42 degrees north of west for 70 miles. Find the planes resultant distance and direction from the starting point.

### Answers

This can be solve using cosine lawbut first let as solve the included angle in the triangle form

angle = 180 - 42angle = 138

c^2 = a^2 + b^2 - 2ab(cos angle)c^2 = 150^2 + 70^2 - 2(150)(70)cos(138)C^2 = 43006.04c = sqrt(43006.04)c = 207.37 mile

directionsin (x) / 70 = sin (138)/ 207.37sin x = 0.2259x = arcsin(0.2259)x = 13.05 degree north of west

A stadium has 47,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,187,200 from each sold-out event. How many seats does each section hold?

### Answers

Ok so add all the money totals for the seats and then divide that by the total money collected then divide all the seats by 3

If AD = 6 cm, DB = 4.2 cm, AB = 8.7 cm, and ED = 3.9 cm, what is the measure of DC?

### Answers

You cannot work this out without the angles

Identify the number as rational or irrational. Explain. 291.87

### Answers

I believe it would be irrational cause it is written as a decimal and is not repeating.

Given: T is the midpoint of JK¯¯¯¯¯JK¯, JK = 5x – 3, and JT = 2x + 1. Determine the length of JK¯¯¯¯¯JK¯

### Answers

JK where T is the midpoint. J >>>>> T >>>>> K.

JK = 5x - 3

JT = 2x + 1

Because T is the midpoint, it means that JT = TK

So,JT + TK = JK

(2x + 1) + (2x + 1) = 5x - 3

4x + 2 = 5x - 3

4x - 5x = -3 - 2

-x = -5

x = 5

JK = 5x - 3

JK= 5(5) - 3

JK = 25 -3

JK = 22

The length of JK is 22.

K where T is the midpoint. J >>>>> T >>>>> K.

JK = 5x - 3

JT = 2x + 1

Because T is the midpoint, it means that JT = TK

So, JT + TK = JK

(2x + 1) + (2x + 1) = 5x - 3

4x + 2 = 5x - 3

4x - 5x = -3 - 2

-x = -5

x = 5

JK = 5x - 3

JK = 5(5) - 3

JK = 25 -3

JK = 22

The length of JK is 22.

A stadium has 47,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,187,600 from each sold-out event. How many seats does each section hold?

### Answers

A:23,500 seats

B and C: both have 11,750 seats

Basically only on the facts in the diagram, which triangle criterion can you use to prove that triangle ABC and ABD are congruent

### Answers

Were is the diagram?

By searching the answer to that exact math page on the official website that makes that math book or math page

10x-2y=1 in slope-intercept form

### Answers

10x - 2y = 1

-2y = -10x + 1

divide by -2

y = 5x - 1/2

Suppose △FLX≅△ZAQ .

Which other congruency statements are correct?

Select each correct answer.

A.) △LFX≅△AZQ

B.) △FXL≅△ZQA

C.) △XFL≅△QZA

D.) △LXF≅△AZQ

### Answers

B.) △FXL≅△ZQA C.) △XFL≅△QZA

What is the 21st term of an arithmetic sequence with terms a6=50 and a11=85? 1. 125

2. 155

3. 185

4. 205

### Answers

1. take the #it is being added by or wat ever and muliply it by the number you want in the sequence then subtract 1

**Other Questions**

Which nation spend the greatest percent on its navy? A small ball of mass 2.00 kilograms is moving at a velocity 1.50 meters/second. It hits a larger, stationary ball of mass 5.00 kilograms. What is the kinetic energy of the system after the collision if the collision is elastic? Spanish idiom that you would use in each of the following situations: 1. Your new neighbor looks mean but after talking to him for a short time, you realize he is actually very nice. 2. After a long illness, your boss is happy to be back at work. 3. You come running into a work meeting fifteen minutes late. 4. Your boyfriend (or girlfriend) moves to a new town three hours away. You're sure that things will still work out. 5. You're visiting Mexico and you decide to greet a new friend with a kiss on the cheek, which is a local custom. Wolrd-class skiers use, rather than fight, the force of gravity to carve the most efficient path down a slope TRUE OR FALSE Martin flips the coin 64 times. How many times can Martin expect the coin to land on heads? Ryan wrote the prime factorization shown below. If he continues this pattern, what prime factorization will he show for the number one million? What prime factorization will he show for one billion? 10= 5•2 100= 5 to the 2nd power • 2 to the second power 1000= 5 to the 3rd power • 2 to the third power Are square roots or perfect squares rational or irrational ? why ? Function fis an exponential function. X I Y -4 I 3/16 -2 I 3/4 0 I 3 2 I 12 4 I 48 By what factor does the output value increase as each input value increases by 1? Enter your answer in the box. I watched a movie called Nemo, the movie was 1h:20m long. The first commercial started at 20 minutes ideational commercials were every 10 minutes. What is the greatest number of commercials shown during the movie? A sled is at rest at the top of a 2 m high slope. The sled has a mass of 45 kg. The sled's potential energy isJ. (Formula: PE = mgh) hurry please A farmer needs to build a goat pen. The pen will be 7 meters wide and 10 meters long. The fencing material costs $1.00 per meter. How much will it cost to buy enough fencing material to build the goat pen? Nine cooks take 4 hours to prepare a school lunch. How long would 6 cooks take to prepare the lunch? Arnold had three pieces of different color string all the same length. Arnold cut the blue string into 5 equal lengths. He cut the red string into 7 equal-size lengths, and the green string into 35 equal-size lengths. He needs to cut the string so each color has the same number of equal-size lengths. What is the least number of equal-sized lengths each color string could have? What does Persecution mean ? What is an indication that a source is credible? If a 150m/S wave has a frequency of 15 hz, how do you find its wavelength What ratios are equivalent to 12:4? Answer please. The sides of a cube are measured in whole centimeters. Which of the following could not be the cube's volume? A. 100 cm3 B. 125 cm3 C. 64 cm3 D. 8 cm3 Before the 1848 revolution in France, France and the rest of Europe experienced _____ Kinesiology is the study of human movement

## FAQs

### What formula is 2lw 2lh 2wh? ›

A formula for the surface area (A) of the rectangular solid shown below is **A = 2lw + 2lh + 2wh** where l represents length; w, width; and h, height.

**What does 2l 2w mean? ›**

**The perimeter of a square field** is given by the equation P = 2l + 2w, where P represents the perimeter, l represents the length of the field, and w represents the width of the field.

**What is the equation for P in terms of L and W? ›**

The perimeter formula for a rectangle states that **P = (L + W) × 2**, where P represents perimeter, L represents length, and W represents width.

**What is area formula L * W? ›**

To find the area of a rectangle, multiply the length by the width. The formula is: **A = L * W** where A is the area, L is the length, W is the width, and * means multiply.

**How to find surface area? ›**

The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we **find the area of each face and add them together**. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).

**What is the perimeter of 2l 2W? ›**

Perimeter of rectangle = 2L + 2W. Example 1: Rectangle has the length 13 cm and width 8 cm. solve for perimeter of rectangle. Thus, the perimeter of the rectangle is **42 cm**.

**What does 2l mean in letter league? ›**

The Lexulous board has the following special colored squares which can get you bonus points: 2L – **Any tile placed on it scores double points**. 2W – If any part of a word is placed on it, the entire word scores double points. 3L – Any tile placed on it scores triple points.

**How to find the perimeter? ›**

The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

**How do you find L and W? ›**

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, '**w = A/l**'. Then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I).

**How an equation is a formula? ›**

A formula is **an equation with two or more variables that represents a relationship between the variables**. A linear example is a line of the form y = m x + b where m is the slope and b is the y-intercept.

### What is P in energy formula? ›

The formula is P = E/t, where **P means power**, E means energy, and t means time in seconds. This formula states that power is the consumption of energy per unit of time.

**What is the formula for area example? ›**

For example, if the length of a rectangle is 35 m and width is 25 m, then the area is **35 × 25** = 875 square meters.

**What is the formula of area only? ›**

Figures | Formula | Variables |
---|---|---|

Rectangle | Area = l × w | l = length w = width |

Square | Area = a 2 | a = sides of square |

Triangle | Area = 1 2 bh | b = base h = height |

Circle | Area = π r 2 | r = radius of circle |

**Why is the formula of surface area? ›**

Surface area is **total area on the surface of a three-dimensional shape**. To find the surface area of a cuboid which has 6 rectangular faces, add the areas of all 6 faces. Or, you can label the length (l), width (w), and height (h) of the cuboid and use the formula: surface area (SA)=2lw+2lh+2hw.

**Why do you calculate surface area? ›**

The surface area of a three-dimensional object is the total area of all its faces. In real-life we use the concept of surface areas of different objects **when we want to wrap something, paint something, and eventually while building things to get the best possible design**.

**What are the 2 formulas for perimeter? ›**

Geometric Shape | Perimeter Formula | Metrics |
---|---|---|

Triangle | a + b + c | a, b and c being the side lengths |

Rectangle | 2(Length + Width) | |

Square | 4a | a =Length of a side |

Trapezoid | a + b + c + d | a, b, c, d being the sides of the trapezoid |

**What is perimeter in math Grade 2? ›**

The perimeter of a shape is **the distance around the shape**. It is the total length of the shape's sides.

**How do you play the letter League game on discord? ›**

Q: How do I play? A: To start a game, first join one of the voice channels. Once there, you should see the Activity Launcher (it looks like a rocket ship) in the voice channel controls. Click the Activity Launcher to open the Activity Shelf, " and then select "Letter League".

**What does it mean to 9x someone in league? ›**

9x Yasuo. **Used when a player is calling to report a Yasuo by all nine other players**.

**What does 2 represent in letters? ›**

For example, the number 11 can represent the letters H, M, N or U and the number 2 can represent the letters **R or Z**.

### What is perimeter area and volume 5th grade? ›

**Perimeter is the distance around an object.** **It is a measure of length.** **Area is the number of square units needed to cover a surface.** **Volume is a measure of capacity and is measured in cubic units.**

**What does L and W mean in math? ›**

**Length, width, height, depth**.

**What is L and W and H? ›**

VOLUME OF A BOX, CUBE, OR CYLINDER V l w = h where **l = the length w = the width, and h = the height** of the figure 13 6 8 V = 6.

**What is the L formula for volume? ›**

**length × width × height** . The volume, V , of any rectangular solid is the product of the length, width, and height. We could also write the formula for volume of a rectangular solid in terms of the area of the base. The area of the base, B , is equal to length×width.

**What is a formula answers? ›**

Answer. A Formula is **a user defined instruction to perform calculations**. It is an expression that can include cell addresses, numbers, arithmetic operators and parenthesis. It begins with equal to (=) symbol, followed by cell references and operators.

**What is the answer to an equation? ›**

A solution to an equation is **a value of a variable that makes a true statement when substituted into the equation**. The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true.

**What are the 3 formulas for power? ›**

**What is Power?**

- P = E t.
- P = W t.
- P = V 2 R.

**What is W equal to? ›**

In the International System of Units (SI), the unit of power is the watt (W), which is equal to **one joule per second**.

**What is the power answer? ›**

We can define power as **the rate of doing work**, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s).

**What is mosteller formula and current formula? ›**

Mosteller's formula : **A=√hw60**. Current's formula : A=4+w30. The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in Centimeters.

### Which formula represents the volume of rectangular prism with length l width w and height h? ›

Therefore, the formula for the volume of a rectangular prism is, volume of a rectangular prism **(V) = l × w × h**, where. To find the volume of the rectangular prism, we multiply the length, width, and height, that is the area of the base is multiplied by the height.

**Is lateral surface area squared? ›**

**The lateral surface area is expressed in square units**.

**What is the current formula? ›**

The current is the ratio of the potential difference and the resistance. It is represented as (I). The current formula is given as **I = V/R**.

**What is BSA formula easy? ›**

The body surface area (BSA) of any adult, when derived from the arithmetic mean of the different values calculated from four independent accepted formulae, can be expressed accurately in Systeme International d'Unites (SI) units by the simple equation **BSA = 1/6(WH)0.5**, where W is body weight in kg, H is body height in ...

**What is the formula for individual current? ›**

(c) The individual currents are easily calculated from Ohm's law (**Ii=ViRi**), since each resistor gets the full voltage.

**How do you find the volume of a rectangular prism multiply the length width and height? ›**

Volume Formula for a Rectangular Prism in Terms of Length, Width, and Height: The volume of a rectangular prism is found by multiplying the lengths of its three separate dimensions (length, width, and height) together. Thus, one volume formula for rectangular prisms is: **V = lwh**.

**How do you solve for lateral area? ›**

The general equation for the lateral surface area is **Area = perimeter of the base X height**. This formula does not work for shapes whose sides are not perpendicular to the base, like cones and pyramids. For those, the formula is Area = 1/2*perimeter of the base*slant height.

**What is volume and surface area? ›**

**The surface area of any given object is the area or region occupied by the surface of the object.** **Whereas volume is the amount of space available in an object**. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Each shape has its surface area as well as volume.

**What are the formulas for surface area and area of a rectangular prism? ›**

The formula looks like this: **S A = 2 l w + 2 l h + 2 h w** , where SA = surface area, l = length, w = width, and h = height. In the rectangular prism net above, l = 8 inches, w = 5 inches, and h = 3 inches. Simply put these numbers into the formula and solve for surface area.

**What is the surface area of a triangular pyramid calculator? ›**

The surface area of a triangular pyramid is calculated by using the formula: Surface Area of a Triangular Pyramid = **1/2 (a × b) + 3/2(b × h)**, where 'a' is apothem length of the base triangle, 'b' is the base side of the triangle pyramid, and 'h' is the slant height of the triangular prism.

### How do you find the surface area with length width and height? ›

Or, you can label the length (l), width (w), and height (h) of the cuboid and use the formula: **surface area (SA)=2lw+2lh+2hw**.