How does the shape of a cross-section of a 3D figure parallel to the base relate to the volume of the 3D figure?

Answer:

B

Step-by-step explanation:

240+240=480

yes

Answer:

B. 480

Step-by-step explanation:

You can find the answer to this by finding the unit rate of Ross's travel. 240:4=60:1, meaning that he drives at 60 miles per hour. Multiplying this by 8 hours, you get 480 miles. Hope this helps!

Answer:

no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.

Answer:

1 unit

Step-by-step explanation:

We have the following formula to find  the length of an arc that subtends an angle of radians is:

S = rΘ where:

Given the information in this question, we have:

=> the length of an arc in this question is:

1*1 = 1 unit

Hope it will find you well

Final answer:

The length of an arc in a circle with radius 1 that subtends an angle of a radians is a units.

Explanation:

The student's question asks for the length of an arc in a circle with a radius of 1 that subtends an angle of a radians. The formula to calculate the arc length (s) is derived from the fact that the circumference of a circle (S) with radius r is S = 2πr. A full revolution around a circle results in an angular rotation of θ = 2π radians.

The arc length for an angle a radians in a circle with radius r is therefore s = r × a. Since the radius of the circle in this question is 1, the arc length is simply equal to the angle a in radians. Thus, the length of the arc is a units.

Answer: C

Step-by-step explanation:

4 * 2=  8

4 *2 = 8

6 * 1 = 6/2 = 3

6 *1 = 6/2 =3

6* 2 = 12

12 + 3 +3 +8 +8 = 34

Answer:

2441.95 years

Step-by-step explanation:

We can model this exponencial function as:

P = Po * (1+r)^(t/n)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.

In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:

0.745 = (1 - 0.5)^(t/5750)

Step 1: log in both sides:

log(0.745) = (t/5750) * log(0.5)

Step 2: isolate t

t = 5750*log(0.745)/log(0.5) = 2441.95 years

The area of a regular decagon whose apothem is 14 mm is 560 square milli meter

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain

We have to find the area of a regular decagon whose apothem is 14 mm and side length of 8m

Area of decagon = 1/2×Apothem×perimeter

Perimeter =Number of sides ×side length

=10×8

=80

Area of decagon = 1/2×14×80

=7×80

= 560 square mm

Hence, the area of a regular decagon whose apothem is 14 mm is 560 square milli meter

To learn more on Polygon click:

https://brainly.com/question/24464711

#SPJ2

The area of a regular decagon is approximately 605.5 mm².

Area of a regular decagon :

Area = (1/2) × Perimeter × Apothem

If we denote the side length by 's,' we can find it using the relationship between the number of sides, the side length, and the apothem:

The number of sides (n) is 10 because it is a decagon.

The formula for the side length of a regular polygon given its apothem (a) is:

[tex]s = 2a \times tan(\pi/n).[/tex]

Substitute n = 10 and a = 14 mm into the formula:

s = [tex]2 * 4 mm \times tan(\pi/10)[/tex]

   ≈ 8.65 mm.

Then, the perimeter (P) of the decagon is:

[tex]P = n \times s[/tex]

 = 10 *8.65 mm

≈ 86.5 mm.

Now, use the area formula:

Area = (1/2) × P × a

           = (1/2) × 86.5 mm × 14 mm

            ≈ 605.5 mm².

So, the area of the regular decagon is approximately 605.5 mm².

Answer:

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Step-by-step explanation:

x = length, making the width (x-4)

The stage closet will be (x-4)(8)(1/2)

The rectangle is 7(3)

That makes the painted area x(x-4) - 4(x-4)

So...

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.

The width of the floor is 4 feet less than the length.

It will have a stage and a closet, and the remaining area of the floor will be painted.

Let, the length be x

Then the width will be (x - 4)

Then the stage closest will be

[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]

The rectangle is 7(3)

The painted area will be given as

[tex]\rm x(x-4) - 4 (x-4)[/tex]

Then we have

[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

The volume of the prototype is 200 cubic inches.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the pentagonal prism:

Volume (V)= base area x height of the rectangular face

Replacing with the values given and solving for V (volume)

V = 20 in2 x 10 in = 200 cubic inches

The volume of the prototype is 200 cubic inches.

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

The volume of the prototype is 200 cubic inches.

Since The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in

So, here the volume is

= 20(10)

= 200 cubic inches

Therefore, The volume of the prototype is 200 cubic inches.

Learn more about volume here: https://brainly.com/question/11826100

Answer:

92

Step-by-step explanation:

The two angles add to make a straight line, so their sum is 180

88+x = 180

Subtract 88 from each side

88+x-88 = 180-88

x =92

Answer:

92

Step-by-step explanation:

Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.

The first parenthesis, let's solve. 7*10=70-5=65

The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50

65*50=3250

I hope this helps, and let me know if you need further assistance.

Answer:

2037.75m/s

Step-by-step explanation:

To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!

The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.

The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.

Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:

v = 627 hz × 3.25 m

Now, let's perform the multiplication to solve for v:

v = 2037.75 m/s

Therefore, the speed of the sound wave is 2037.75 meters per second.

Answer: 75 degrees

Step-by-step explanation: supplementary means 180 so you do 180-105 which is 75

Final answer:

To calculate the number of square units of cardboard used to construct Stacey's cookie box, we need the box's dimensions to find the surface area. If the box were similar to a 9x9x4 inch doughnut box mentioned in the examples, the calculation would result in 306 square inches. Without the exact dimensions, we use the formula for surface area and round to the nearest tenth if necessary.

Explanation:

To determine how many square units of cardboard were used to construct Stacey's cookie box, we need to calculate the surface area of the box. However, the question does not provide the exact dimensions of the solid, so let's assume that we have the length, width, and height of the box. Then, the surface area of the box can be calculated as twice the sum of the length times width, length times height, and width times height (2(lw + lh + wh)).

As an example, if the box had dimensions of length (l), width (w), and height (h), and let's say that l=9 inches, w=9 inches, and h=4 inches, similar to the doughnut box mentioned in the provided information, the surface area would be:

Surface area = 2(lw + lh + wh) = 2(9*9 + 9*4 + 9*4) = 2(81 + 36 + 36) = 2*153 = 306 square inches

Now, if Stacey's cookie box has different dimensions, you would plug those values into the surface area formula instead. If the calculated surface area is not a whole number, the question advises to round to the nearest tenth.

Answer:

A = 4 in^2

Step-by-step explanation:

The area is given by

A = l*w

A = 1in * 4 in

A = 4 in^2

Answer:

6

There are three people, so 3x2x1 is 6

Erik could stand in all three spots, Mina could stand in two of the available spots, and then there's only one left for Roger

Even if you flip the characters around, it's still 6

If it helps to draw it so you can visually see it, that would be a great idea

:)

Answer:

The correct one is the one that you have clicked on already.

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

1/2+1+1+1+1/2=4

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1+1+1/2=7

1+1+1+1+1+1+1+1=8

8+7+5+5+4=29

15+10+4=29

25+4=29

29=29

Answer:

In the next two levels the tree we have 8 branches

Step-by-step explanation:

In mathematics, the Fibonacci numbers, commonly denoted Fₙ, form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones.

The Fibonacci numbers are given as 1,2, 3,5,8,13........n

The Second level according to the Fibonacci sequence indicates that the tree will have 8 branches

Answer:

21,34

Step-by-step explanation:

Answer:

i would like to say the answer is 17

Step-by-step explanation:

Answer:

The product of

36√cis(π/8) and 25√cis(7π/6)

is

(225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]

Step-by-step explanation:

First note that

cis(π/8) = cos(π/8) + isin(π/8)

cis(7π/6) = cos(7π/6) + isin(7π/6)

cos(π/8) = (1/2)√(2 + √2)

sin(π/8) = (1/2)√(2 - √2)

36√cis(π/8) = (36/√2)√[√(2 + √2) + i√(2 - √2)]

cos(7π/6) = -(1/2)√3

sin(7π/6) = (1/2)√3

25√cis(7π/6) = (25/2)√3(-1 + i)

The product,

36√cis(π/8) × 25√cis(7π/6)

= (36/√2)√[√(2 + √2) + i√(2 - √2)] × (25/2)√3(-1 + i)

= (225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]

Answer:

32.86 cis ( 4.06 )

Step-by-step explanation:

TTT

Answer:

You're correct, it's 7.5!

Step-by-step explanation:

15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.

Answer:

5

Step-by-step explanation:

That's all I could come up with

The solutions to the quadratic equation [tex]$x^2 = 25$[/tex] are x = 5 and x = -5. Thus, the correct options are 5 and -5.

To solve the quadratic equation [tex]\(x^2 = 25\)[/tex] by finding square roots, we take the square root of both sides.

Taking the square root of 25, we get [tex]\(x = \pm 5\)[/tex].

So, the solutions are [tex]\(x = \pm 5\)[/tex].

Therefore, the correct options are:

5

-5

Answer:

300 cm

Step-by-step explanation:

1 meter is 100 centimetres, so 3 meters would result in 3 x 100, which equals 300.

Answer:

(0,0)

Step-by-step explanation:

Answer:

2^2*4*5^2*9=900

Step-by-step explanation:

900= 100*9

100=20*5

20=5*4

4=2*2

2*2*4*5*5*9=900=

2^2*4*5^2*9=900

Hope this helps!

Answer:

2×2×3×3×5×5

2²×3²×5²

Step-by-step explanation:

Hope this helped (:

Answer:

y = 4

y = 0

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 5y • (y - 4)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    5y = 0  

Divide both sides of the equation by 5:

                    y = 0

Solving a Single Variable Equation :

2.3      Solve  :    y-4 = 0  

Add  4  to both sides of the equation :  

                     y = 4

Hope this helps

Answer:

Your question that I have solved:

y= 0,4

Step-by-step explanation:

Answer:

I would think 28

I may be wrong but y'know

Why 28?

well it's going to touch a box every 8 boxes and 28 is the only one with 28

I hope this is right sorry if it's not.

Answer:

0        1/2   7/8   1      2    -2.75    -3  

Explanation:

(1. Absolute value is the distance a number is from zero. It can only be positive. For example, the absolute value of -8 is 8 because it is 8 units away from zero. More examples: The absolute value of 5 is 5 because it is 5 units away from zero. The absolute value of -6.75 is 6.75 because it is 6.75 units away from zero.

(2. Because we know this, we can put the order as 0, 1/2, 7/8, 1, 2, -2.75, and -3. -3 is 3 units away from zero which is more than the absolute value of -2.75 which is 2.75 units away from zero.

(3. The absolute value of a number is basically just making the number positive. If the number is already positive then the absolute value of that number is that number.

Hope you understand!