Imagine a cannonball being launched from a cannon on a very high cliff. What mathematical ideas/concepts are involved? What can be measured?

Answer:

169.56 m³

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» Application

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» Solution

Answer:

156.32 joules 

Step-by-step explanation:

In this case, we know the force of 64 N and the distance of 3 m. We also know that there is a 120°angle between the angle of the direction of applied force and the direction of motion. So plugging these values into our handy equation yields:

W = 64(3)cos(120)= 156.32 Joules

So the 64 N force at a 120° angle did 156.32 joules of work moving the book 3 meters.

Answer:

it a 26.64 units. hope it helps

Answer:

Question 7: 64

Step-by-step explanation:

Let me know if you need more help !!

Step-by-step explanation:

hopefully the picture uploads

Answer:

ah

Step-by-step explanation:

Answer:

35.5cm^2

Step-by-step explanation:

I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2

Answer:

128 cubes can fit in.

Step-by-step explanation:

We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit

We must find: The number of cubes that can fill the prism

Firstly, find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Next find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128

Therefore 128 cubes can fit in.

here is the answer of your question

Answer:

612500

Step-by-step explanation:

Let us first consider how many sides this figure has:

  ⇒ it has 6 sides

Now to find the supposed sum of all the angles added up together for a hexagon, must use:

  ⇒ [tex]Formula =(n-2)*180[/tex]

Let's plug in the number of sides:

  [tex]Sum_.of_.angles=(6-2)*180=720[/tex]

Therefore all the angles of a hexagon must equal 720 degrees:

   [tex]x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130[/tex]

The value of x is 130.

Answer: 130

Hope that helps!

Answer:

4.  A.  y = -3x - 2

5.  B.  ¹/₃

Step-by-step explanation:

General form of a linear equation:   y = mx + b

(where m is the slope and b is the y-intercept)

Question 4

From inspection of the graph, the y-intercept is at y = -2

The slope is the change in y divided by the change in x, so we can see that for every change of 1 x-value, the y-value decreases by 3 units.

Therefore, the slope is -3

So the equation of the line is y = -3x - 2

Question 5

Referring to the general form of the linear equation quoted above,

for equation y = ¹/₃x + 4

Answer:

B) 105 Friday night

Step-by-step explanation:

y= 7x°=(5x+30)°=7x=15°

y°=7x15°=105°

(according to title)

it is a 90° angle

a = 90 - 49

a = 41

hope it helps...!!!

Answer:

Step-by-step explanation:

we know 100 cm are in one meter,  so,  3 meters = 300 cm

then  20/300  =  20 cm  of 3 meters  , now just reduce the fraction

20/300

= 2 / 30

= 1/15

see??

Answer:

let the smaller number be x and the larger number is y

y =x+3

x+y²=377

x+(x+3)²=377

x+(x+3)(x+3)=377

x+x²+3x+3x+9=377

x²+7x+9-377=0

x²+7x-368=0

using factorization method

check the attachments for more details

Answer:

188

Step-by-step explanation:

Ive attached my work

Hope it helps, Let me know if you have any questions !

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

Answer:

5.189-2.94=2.249

Step-by-step explanation:

Use the calculator.

Answer:

B. False

Step-by-step explanation:

To determine if a graph represents a function, you can use the vertical line test. A graph is a function if no vertical line intersects the graph at more than one point. In this graph, a line can intersect the graph at more than one point, therefore, it is not a function.

hope this helps!

Answer:

[tex](x-5)(x+3)[/tex]

Step-by-step explanation:

Factor by grouping

[tex]x^2-2x-15\\x^2+3x-5x-15\\x(x+3)-5(x+3)\\(x-5)(x+3)[/tex]

An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

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

Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.

Since the total mixture should be 240 gallons, therefore,

x + y = 240

Solving for y,

y = 240 - x

Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,

60%x + 0%y = 15%(240)

0.60x = 0.15(240)

x = 60 gallons

Now substitute the value of x in the first equation,

y = 240 - 60 = 180 gallons

Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Work Shown:

(0.10)^3 = (0.10)*(0.10)*(0.10) = 0.001

Answer:

0.001

Step-by-step explanation:

This can be modeled as a binomial distribution as:

Let "success" be the balloon popping.

⇒ trials (n) = 3

⇒ probability of success (p) = 0.10

To find the probability that all 3 of the balloons pop, use the binomial distribution with x = 3:

[tex]\begin{aligned} \displaystyle P(X=x) & =\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\\\\\implies P(X=3) & =\binom{3}{3} \cdot 0.1^3 \cdot (1-0.1)^{3-3}\\ & = 1 \cdot 0.001 \cdot 1\\ & =0.001 \end{aligned}[/tex]

Equations to use:

x = biology

y = history

x + y = 445.

x - 45 = y

Step-by-step explanation:

hope you understand..........