The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Use 3.14 for ​.

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

[tex]5^2 + 12^2 = 169[/tex]

[tex]\sqrt{169} = 13[/tex] units

The total area of the given figure will be 66 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

To know more about the area follow

https://brainly.com/question/24375372

#SPJ1

Answer:

4

Step-by-step explanation:

each sandwich can be made on either white or whole grain. since there are only 4 options for sandwiches there are only 8 choices in total. ham w white or ham w grain, turkey w white turkey w grain, etc. so there is  a probabilty of 4. let me know if im right!

Answer: 4

Step-by-step explanation:

      First, we will find the length of sides TU and T'U' to compare. Then, we will find the scale factor. Since the shape gets bigger and not smaller, we will have a whole number - not a fraction.

TU = 3 units

T'U' = 12 units

12 / 3 = 4

       A scale factor of four.

The  inequalities that can be used to determine the possible number of bass in the pond over time are: P≥250e^0.048t; P≤275e^0.048t.

Given:

r=4.8/100=0.048

Initial amount:

Lower end=250

Upper end=275

Using this equation to determine the inequalities

A=p×e^rt

Where:

A=Amount

P=Population

r=Growth rate

t=Time

Let plug in the formula

Inequalities:

P≥250e^0.048t

P≤275e^0.048t

Therefore the inequalities are : P≥250e^0.048t; P≤275e^0.048t.

Learn more about inequalities  here:https://brainly.com/question/24372553

#SPJ1

The result for the expression (cos 3x)(cos x) − (sin 3x)(sin x) is cos 4x.

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

In terms of functions of A and B, angle addition formulae express trigonometric functions of sums of angles A[tex]\frac{+}{_}[/tex]B.

cos (A+B) = cosA.cosB + sinA.sinB

The give equation is as follows,

(cos 3x)(cos x) − (sin 3x)(sin x)

Applying the sum formula,

= (cos 3x)(cos x) − (sin 3x)(sin x)

= cos(3x + x)

= cos 4x

Therefore, the result of the given equation is cos 4x.

To know more about trigonometric ratios and their examples, here

https://brainly.com/question/24349828

#SPJ2

We have been given the two lengths as x and y So, the value of x would be equal to root 80.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

we have been given the two lengths as x and y.

From the figure, we know that

11: y = y: 5

Express in fraction

11/y = y / 5

y^2 = 5(11)

y ^2 = 55

So, y = √55

From Pythagoras theorem;

[tex]x^{2} =5^{2} +y^{2} \\\\x^{2} =5^{2} +55 \\\\x^{2} =25 + 55\\\\x^{2} =80\\\\x = \sqrt{80}[/tex]

Learn more about ratios here:

brainly.com/question/186659

#SPJ1

There are 55 values in the range 0 to 55

The minimum is given as:

Minimum = 0

The maximum is given as:

Maximum = 55

The range is calculated using:

Range = Maximum - Minimum

So, we have:

Range = 55 - 0

Evaluate

Range = 55

Hence, there are 55 values in the range 0 to 55

Read more about range at:

https://brainly.com/question/14532771

#SPJ1

Answer:

It's the last choice.

Step-by-step explanation:

It has a V shape because of the absolute value lines |    |

But it is  an inverted V because of the leading negative.

The vertex is at y = 1 because of the + 1.

The + 4 moves the whole graph 4 units to the left of the origin.

So the vertex is at (-4, 1)

Answer:

The correct option is graph D. because the equation has all negative x values, meaning this graph will be to the left.

Why is the graph not facing upwards?

This is because some of the y values are equal to 1 or negative 1, causing the graph to face downwards.

Answer:

2n + 2

Step-by-step explanation:

If the directions for this problem say to "Simplify" then what you will do is to combine like terms. This is an expression because there is no equal sign. If it had an equal sign (and more information) it could be solved.

Since it only an expression we simplify:

-n + (-3) + 3n + 5

= -n + 3n + (-3) + 5

= 2n + 2

Answer:

I believe that it is, 2n + 2.

Step-by-step explanation:

You add all the common factors ( sorry if its a wrong vocab word ) -

( {-3} + 5 ) and ( 3n + { -n } )

-3 + 5 would also be 5 - 3 = 2

3n + -n would be 3n - n = 2n so it would be,

2n + 2 or 2 + 2n.

Answer: 200x9

Step-by-step explanation: division addion and multiplecatin

Answer:

[tex]2 \frac{n}{ {m}^{2} } [/tex]

Step-by-step explanation:

[tex] \frac{f}{a} = \frac{72}{6.1 \times 6.1} = \\ \frac{72}{37.21} = 1.93 \\ 2[/tex]

Answer:

AI=3.25 IH= 4.2

Step-by-step explanation

The distance between C and D is 1.3 inches, the distance between E and F is 0.75 inches and the distance between G and H is 1.2 inches. This is true because the model says so. If you look closely together, this is equal to the distance between AI which is the length of AI. The answer would be 1.2+1.3+0.75=3.25. To find the length of side IH you do the same strategy, the distance between sides D and E is 4.8 inches, at the bottom is 9 inches of distance between side I and side F. 9-4.8 inches is equal to 4.2 inches. Therefore, the length of side AI is 3.25 inches and the length of side IH is 4.2 inches. If I am wrong please tell me for feedback, I also hoped that this has helped you in your learning :)

Answer:

Step-by-step explanation:

AI is 3.25

IH is 4.2

Area is 23.025

Answer:

15 centimeters each = the two other sides of the triangle is 30 cm.

Step-by-step explanation:

Using the vertex of the quadratic equation, it is found that:

The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is given by:

h(t) = -4.9t² + 64t + 136.

The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:

[tex]t_v = -\frac{64}{2(-4.9)} = 6.53[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 .........

Step-by-step explanation:

Hope it helps you :))))

have a good day.

Answer:

-8 > -9

Step-by-step explanation:

Every other question says greaten then, on the other side or other way around.
The higher the number in negatives, the less it actually is.

-8>-9

Step-by-step explanation:

when its a negative number, the number closer to zero is the answer

Answer: 164 square inches

Step-by-step explanation:

[tex]2(10 \cdot 3+10 \cdot 4+3\cdot 4)=164[/tex]

Answer:

  4568 ft³

Step-by-step explanation:

You want the volume of the figure made from two rectangular prisms.

The volume of the whole is the sum of the volumes of its parts. The volume of a rectangular prism is the product of its dimensions.

The horizontal prism is 7 ft high, 8 ft wide, and 45 ft long.

The vertical prism has a square base 8 ft on a side, and is 32 ft long.

The total volume is ...

  V = horizontal volume + vertical volume

  V = (7 ft)(8 ft)(45 ft) + (8 ft)²(32 ft) = 4568 ft³

The volume of the figure is 4568 ft³.

<95141404393>

The total volume of the figure is 4,568 ft³

We can view this as two different rectangular prisms, remember that the volume of a rectangular prism is equal to the product between its dimensions.

For the one that is laid down, the volume is:

V = 7 ft*8 ft*45 ft

V = 2,520 ft³

For the other prism, the volume will be:

V' = 8ft*8ft*32ft = 2,048 ft³

Adding the two volumes we will get:

volume = 2,520 ft³ +  2,048 ft³ = 4,568 ft³

That is the total volume of the figure in cubic feet.

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:

I don't know what I'm doing

Step-by-step explanation:

9! = 362 880

6! = 720

362 880 / 720 = 504 = 384 + 5!

Answer:

9!/6! would be (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) / (6 x 5 x 4 x 3 x 2), which is 504.

Step-by-step explanation:

A factorial, by definition, is the product of a given whole number and each positive whole number less than itself. A factorial is denoted by an exclamation point (n!), with n being the number you want to find the factorial of.

Ex. 2! = 2 x 1 (you can get rid of the x1 because it does nothing)

     3! = 3 x 2

     4! = 4 x 3 x 2

     and so on...

Answer:

3

Step-by-step explanation:

Find the raised power (exponent) that is greatest in value in order to find the degree of a polynomial. In this example, the highest power is 3, so that is the degree of the polynomial.

hope this helps!

Answer:

886.3 feet

Step-by-step explanation:

cos(10°) = d/900

d = 900 cos(10°) = 886.3 feet

The mean of this test will be 57.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation= [tex]\sigma[/tex]

So, m-2[tex]\sigma[/tex]=49

and, m + [tex]\sigma[/tex]=61

Solving the above two equation we get

[tex]\sigma =4[/tex]

Now, m= 61-[tex]\sigma[/tex]

           = 61-4

           = 57

So , the mean of this test will be =57

Learn more about mean and standard deviation here:

https://brainly.com/question/16030790

#SPJ1

Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Answer:

Answer:

360

Step-by-step explanation:

uh if the box has a square base of 3 inches and a square has 4 sides then 3x4=12 and then multiply by 12x30= 360

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the value of x, bring the variable to the left side and bring all the remaining values to the right side

Answer:

[tex]\boxed{\bold{1}}[/tex]

Using Pedmas rule:

[tex]\dashrightarrow \sf \dfrac{17+6-6+6}{6+17}[/tex]

subtract: 6-6 = 0

[tex]\dashrightarrow \sf \dfrac{17+6}{23}[/tex]

simplify the following

[tex]\dashrightarrow \sf \dfrac{23}{23}[/tex]

the numerator and denominator cancels out

[tex]\dashrightarrow \sf 1[/tex]

Given statement:

The phrase "divided by" means division. Therefore,

⇒ (17 + 6 - 6 + 6) ÷ (6 + 17)

⇒ (17 + 6) ÷ (6 + 17)

Recall: A number divided by itself is 1

⇒ 1

Therefore, 1 is the solution to the expression.