Can I have some help

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Step-by-step explanation:

An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the width of the rectangular prism die be represented by x.

Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,

Width = x

Length = x + 5

Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,

Volume = Length × Width × Height

252 = (x + 5) × x × 3

252 = 3x(x+5)

252 = 3x² + 15x

3x² + 15x - 252 = 0

Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

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Answer:

10

Step-by-step explanation:

friend chicked for life

Answer: A. approximately 37.33° above the ground

Step-by-step explanation:

edge2020

The the direction of the resultant force is A. approximately 37.33° above the ground.

A resultant force simply means the single force that has same effect as two or more forces that are acting together.

In this case, a student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground.

The direction of the resultant force is 37.33° above the ground.

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Answer:

The Answer would be C

Step-by-step explanation:

Answer: It is C. 25

Step-by-step explanation:

on edge 2020

Answer: 9

Step-by-step explanation:

Population size=7

Lower quartile=71

Upper quartile=80

67 Is or es el 67

Jajaja

Answer:

34

Step-by-step explanation:

So -9x is 36,36-2=34

Answer:

34

Step-by-step explanation:

-9(-4)-2

36-2

34

Answer:

Correct answer: a) -8

Step-by-step explanation:

Complex Numbers

A complex number z in polar form is expressed as

[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]

The nth power of a complex number in polar form is:

[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]

If the complex number is given in rectangular form

[tex]z=x+\mathbf{i}y[/tex]

then the values of r and θ are given by:

[tex]r=\sqrt{x^2+y^2}[/tex]

[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]

The given complex number is:

[tex]z=1-\mathbf{i}\sqrt{3}[/tex]

The value of r is:

[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]

[tex]r=\sqrt{1+3}=2[/tex]

r=2

Calculating the angle:

[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]

[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]

Since the number is in the quadrant IV, the angle is:

[tex]\theta=-60^\circ[/tex]

Thus, z is expressed in polar form as:

[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]

Calculating:

[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]

Given cos 180°=-1 and sin(-180°)=0

[tex]z^3=8(-1+0)[/tex]

[tex]z^3=-8[/tex]

Correct answer: a) -8

Answer:

A

Step-by-step explanation:

just finished test

Answer:

Step-by-step explanation:

1290

Based on the amount invested, the rate, and the period of compounding, after 11 years, the account would be $1,290.

As the rate is compounded daily, the rate and the period need to be converted to daily figures:

Rate = 5.8% / 365 days = 5.8/365 %

Period = 11 x 365 = 4,015 days

The amount in 11 years is:

= Amount x ( 1 + rate) ^ period

= 680 x (1 + 5.8/365%) ⁴⁰¹⁵

= $1,286.965

= $1,290

In conclusion, the account would have $1,290.

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Answer:

Step-by-step explanation:

Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.

Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)

Triangle C - Equilateral triangle because all the sides are equal.

Triangle D - Scalene triangle because all the sides have different lengths.

Answer:

For Question 3, all you have to do is subtract 5 from both sides of the equation, then divide by -3, which will leave you with 5 as the answer.

-3x + 5 = -10

-3x = -15x

x = 5

Answer:

1/6

Step-by-step explanation:

Answer: (-4,5)

Step-by-step explanation:

Answer:

uhm chile anyways

Step-by-step explanation:

i just want points lol

Answer:

If the owner left only 3 cans of food for 5 days, that means that we have to divide those cans of food so we can just do simple math and divide 3 by 5

3/5 and you get 0.6

So the cat must eat 0.6 of each can everyday.

Answer:

The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs

Answer:

$1281.00

Step-by-step explanation:

8540*15%=1281

The sum of two complementary angles is 90 degrees.

Angle A  +  Angle B = 90

Let Angle B = X

5x + 2 + x = 90

Combine like terms:

6x +2 = 90

Subtract 2 from both sides:

6x = 88

Divide both sides by 6:

x = 88/6

x = 14.67

Angle B = 14.67 degrees ( rounded to the nearest hundredth)

Answer:

Smaller number = x

Bigger number = x +32

Why? -- the difference of the numbers is 32, this also means that one number is 32 greater than the other.

x + x+32 = 136

2x +32 = 136

2x = 104

x = 104/2

x = 52

----> The smaller number is 52  <-----

We can check by solving for the bigger number.

Bigger number = x+32

x = 52

52 + 32 = 84

Bigger number = 84

Bigger number + Smaller number = 136

84 + 52 = 136

The numbers are 84 and 52 if the two numbers have a sum of 136 and a difference of 32.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two numbers have a sum of 136 and a difference of 32

Let x be the first number and y be the second number:

x + y = 136

x - y = 32

After solving the above linear equation by elimination method:

2x = 168

x = 168/2

x = 84

2y  = 104

y = 52

Thus, the numbers are 84 and 52 if the two numbers have a sum of 136 and a difference of 32.

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Answer:

1. Add x on both sides.

2.  Divide both sides by 4.

3. Add 20 to both sides.

4. Divide both sides by 3.

Brainliest Appreciated! Hope I helped!

Answer:

Step-by-step explanation:

2m^2-m+4m^2+8m combine like terms

6m^2+7m

Answer:

15m

Step-by-step explanation:

2m²-m+4m+8m

2m•2m-m+4m+8m

4m-m+4m+8m

3m+12m

15m

Answer:

$2.50

Step-by-step explanation

7.50 divided by 3 is 2.50

Answer:

$2.50 per pound

Step-by-step explanation:

7.50/3

$2.50

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

Answer:

7.9 or 7 9/10

Step-by-step explanation:

Answer:

its o4:5

Step-by-step explanation:

Answer:  multiply

Step-by-step explanation:

jus 45 multiply by 67

Answer:

11.46 km per million years

Step-by-step explanation:

divided 1719 by 150

Answer:

The rental costs $2 per mile (third from top answer)

Reasoning:

The graph on the side follows the slops of y=2x (rise of 2, run of 1) , therefore at x=1, we know that the y value must be 2.

Meaning The third option (The rental costs $2 per mile) is the only

correct answer

I hope this helps you and good luck!

Answer:

a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Subtract x from each side so you get

2y = -x-6

Then divide them by 2 to get

y = -x-6/2