Steve built a square hamster pen that has a perimeter of 240 centimeters What is the length of one side of Steve’s hamster pen?

Recall the double angle identity:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

With [tex]\theta[/tex] measuring between 0º and 90º, we know [tex]\cos\theta>0[/tex]. So from the Pythagorean identity, we get

[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5[/tex]

Then

[tex]\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}[/tex]

Answer:

C

Step-by-step explanation:

Edge2021

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First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

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Answer: The answer is in the steps

Step-by-step explanation:

M                h

15               40

20              45

25               50

30                55

Hey there!

We have 10 pieces of paper. The probability of drawing a 10 is 1/10.  Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)

I hope that this helps! Have an awesome day!

Answer:

113.04ft^2

Step-by-step explanation:

Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]

Answer:

2. Growth of American Cities

3. Eliminated competition by forming monopolies

4. Explain the differences in income between the rich and poor

5. Put more money into circulation

6. The 14th and 15th amendments

Answer:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:

[tex]X \sim Binom(n=4, p=3/10)[/tex]

The probability is always the same since we replace the ball selected in each trial.

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!

Answer:

55 inches.

Step-by-step explanation:

So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;

(1). "Television sizes are labeled by the measure of the diagonal.''

(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;

Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].

Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.

Approximately:

The Size of the Television = 55 inches.

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

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Answer: 0.2994

Step-by-step explanation: I subtracted them and got the answer

Answer:

The discriminant of 3x^2-10x=-2 is 76

Step-by-step explanation:

3x^2-10x+2=0

Where a = 3, b = -10, and c = 2

The discriminant of 3x^2-10x=-2 is 76

Answer: 76

Hope this helps.

Answer:

to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)

Answer

Shown from explanation

Step-by-step explanation:

Imagine we have a set A and a set B such that set B is contained in set A .

Therefore;

A\B is a mathematical notation in set theory that means;

A\B = A-B it means complement of A

Look at the attachment for a better understanding of the concept.

Therefore:

(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC

Similarly;

(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.

Hence, (A\B) ×C =(A×C)\(B×C)

Answer:

  -10, -1

Step-by-step explanation:

To complete the square, we add the square of half the x-coefficient:

  x^2 +11x +5.5^2 = -10 +5.5^2

  (x +5.5)^2 = 20.25

Taking the square root, we get ...

  x +5.5 = ±4.5

  x = -5.5 ±4.5 = {-10, -1}

The solutions are x = -10 and x = -1.

Answer:

165 %

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 30, so we can write it down as 100%=30.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=30

2) x%=49.5

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=30/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 30

100%/x%=30/49.5

(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x

100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x

100/0.60606060606061=x

165=x

x=165

now we have:

49.5 is 165% of 30

Please can I get brainliest I worked hard for you

Hope I helped you

Explanation:

Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.

If 'your sister' completes the text with negative y-value, the point would be in Q3.

If 'your sister' completes the text with positive y-value, the point would be in Q2.

Answer:

Q2

Step-by-step explanation:

plzzz give me brainliest plzzz

Answer:

  6 mm

Step-by-step explanation:

In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:

  k = (1/7)(42 mm)

  k = 6 mm

Answer:

0/6

Step-by-step explanation:

because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)

Answer:

Step-by-step explanation:

Multiples of 5  =  5  and 10

Ways to roll a 5  =  (1,4) ( 4,1)  (2,3) (3,2)

Ways to roll  a 10   =  (5,5) (4,6) (6,4)

We have  7  possible outcomes for a multiple of 5...and there are   36  possible outcomes in total  

So  P (multiple of 5)    = 7 / 36

Answer:

x = 2

Step-by-step explanation:

(DG + EF) / 2 = AB

(5x - 4 + 8x + 2) / 2 = 12

13x - 2 = 24

13x = 26

x = 2

Answer:

3x^2 -20x-32

Step-by-step explanation:

(3x + 4)(x − 8)

Foil

First: 3x*x = 3x^2

outer: -8*3x = -24x

inner: 4x

last: -8*4 =-32

Add them together

3x^2 -24x+4x -32

Combine like terms

3x^2 -20x-32

Standard form is ax^2 +bx+c

Answer:

[tex]3 {x}^{2} + 20x - 32[/tex]

Step-by-step explanation:

[tex](3x + 4)(x - 8) \\ 3x(x - 8) + 4(x - 8) \\ 3 {x}^{2} - 24x + 4x - 32 \\ = 3 {x}^{2} + 20x - 32[/tex]

Answer:

U=-23

Step-by-step explanation:

-713=13u

-713/13=-23

Answer:

B

A

C

Step-by-step explanation:

Simply the inequalities

y - 13 > -85

y > -85 + 13

y > -72

Graph B is the solution

13 < -85 + y

y > 13 + 85

y > 98

Graph A is the solution

y + 13 < -85

y < -85 -13

y < -98

Graph C is the solution

Answer:

B A C

Step-by-step explanation:

Answer:

109.59m^3

Step-by-step explanation:

Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.

Volume is that of the suppose big pyramid - the suppose small pyramid.

The angle is 45degrees from my calculation.

Volume of big pyramid = (256√2 )/3

Volume of small pyramid= (32√2)/3

256√2 )/3-(32√2)/3= (224√2)/3

The volume of the given trapezoidal prism is 84 m³

A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.

Given is a trapezoidal prism, we need to find its volume,

So, the volume will be given by = area of the trapezoid x length

= (8+4)x3.5 / 2 x 4

= 84

Hence the volume of the given trapezoidal prism is 84 m³

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Answer:

x = 15

Step-by-step explanation:

2(x - 8) = 14

Use distributive property

2x - 16 = 14

2x = 30

x = 15

Answer:

you need 4 bricks

Step-by-step explanation:

Answer:748.66 cubic centimeters

Step-by-step explanation: don’t have it

Step-by-step explanation:

Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form

Let's assume d is the diameter of the circle

=> the perimeter of the circle is: dπ

=> the perimeter of the half arc of a circle

= 1/2 perimeter of the circle

= 1/2dπ

Hence, the perimeter of the stage shaped like a semi-circle:

=  the perimeter of the half arc of a circle + the diameter

=  1/2dπ + d

= 3/2dπ

Just substitute d into the above expression, you will find out the answer.

Hope it will find you well.

Answer: x=-14

Step-by-step explanation:

If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Double the second equation and subtract the first:

  2(7x +y) -(3x +2y) = 2(19) -(16)

  11x = 22

  x = 2

In the second equation, ...

  7(2) +y = 19

  y = 19 -14 = 5

The solution is (x, y) = (2, 5).

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

The required 5th term in the geometric sequence is 3.

For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
              = [tex]243*(1/3)^{5-1}[/tex]
              = [tex]243*(1/3)^4[/tex]
              = 243 * 1/81
              = 3

Thus, the required 5th term in the geometric sequence is 3.
           

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Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

[tex]30 \div 5 = 6[/tex]

[tex]6 \times 3 = 18[/tex]

Hope this helped:)

Answer:

18 napkins

Step-by-step explanation: