60 students study a language at a school.
Each student either studies French or German.
36 of the students are boys.
2/3 of the boys study French
40 students study French
Use this information to complete the frequency tree

After the reflection and the translation of XYZ, the length of segment Y'Z'  is 6 units

The transformation is given as:

Both transformations are rigid transformations.

This means that the lengths YZ and Y'Z' would remain the same

The coordinates are given as:

Y = (8,3)

Z = (2,3)

Both points are on the same y coordinate.

So, the length YZ is

YZ = 8 - 2

Evaluate

YZ = 6

Hence, the length of segment Y'Z'  is 6 units

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Answer:

The answer is 54.

Answer:

1/2 split into 1/3 = 1/6

Answ.er:

x=146°

Step-by-step explanation:

the Exterior angle theorem states the exterior angle is equal to the sum of angle 1 and angle 2.

So add 107 and 39 to get 146.

Answer:

Step-by-step explanation:

Area of shaded region= area of rectangle- area of triangle

Area of rectangle= l×b

                            =9×3

                            = 27m²

Area of triangle= [tex]\frac{1}{2}[/tex] b×h

                        =[tex]\frac{1}{2}[/tex] ×3×3

                        =[tex]\frac{9}{2}[/tex] ⇒4.5

Area of shaded region= area of rectangle- area of triangle

                                     =27-4.5

                                     =22.5m²

Answer:

Answer is in the picture

( It would be absolutely kind of you to give me a "brainliest answer")

Goodluck

Answer:

42 ft²

Step-by-step explanation:

You need the total surface area of the box which is shaped like a rectangular prism.

surface area = area of bases + lateral area

Let length = 3 ft, width = 2 ft, height = 3 ft.

The base is a rectangle 3 ft by 2 ft.

The perimeter of the base is 2(3 ft + 2 ft) = 10 ft

The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²

The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²

The total surface area is 30 ft² + 12 ft² = 42 ft²

Answer:

191

Step-by-step explanation:

the rule is +4 so 11+45*4=191 (45 is the number not including the first one)

191 is the answer

Answer:

191

Step-by-step explanation:

First, determine if the sequence is arithmetic or geometric.

If it is arithmetic, the difference between consecutive terms is constant.

If it is geometric, the ratio between consecutive terms is constant.

[tex]\sf 11 \underset{+4}{\longrightarrow} 15 \underset{+4}{\longrightarrow} 19[/tex]

As we add 4 to each term to get the next term, this is an arithmetic sequence with common difference of 4.

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

Given:

Substituting the given values into the formula to find an equation for the nth term:

[tex]\implies a_n=11+(n-1)4[/tex]

[tex]\implies a_n=4n+7[/tex]

Therefore, to find the 46th term, substitute n = 46 into the equation:

[tex]\implies a_{46}=4(46)+7=191[/tex]

Answer:

22.25

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

a---leg                          a=17

b---leg                          b=?

c----hypotenuse          c=28

[tex]17^2+b^2=28^2\\289+b^2=784\\b^2=495\\\sqrt{b^2}=\sqrt{495}\\b = 22.25[/tex]

Answer:

well the odds would be 2:3 because 1 3 5 and 7 are prime numbers so the pin might just land on one of them

Step-by-step explanation:

Answer:

8x-9

Step-by-step explanation:

You have to combine like terms in order to simplify this problem.

The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.

Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.

Answer:

8×-9

Step-by-step explanation:

You have to combine like terms in order to simplify this problem.

The like terms you have are 5x, and 3x. If you add 5x+3x, you get 8x.

Now, you do nothing with the 9 because there is nothing to combine it with. For example, if your problem was 5x+3x-9+10, you combine 5x and 3x to get 8x, but now with the 9, you keep the subtraction symbol so it is 10-9, (think of it as -9), and when you finish that, you get 1. Now there are no more symbols so you add, 8x+1.

HOPE IT HELPS.

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That which is equivalent to tanθ is A sinθ/cosθ

To answer the question, we need to know what tanθ is

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

And also, the cosine of the angle θ is cosθ = y/1 = y

Since we have that

Substituting the values of the variables y and x into tanθ, we have

tanθ = y/x

tanθ = sinθ/cosθ

So, that which is equivalent to tanθ is A sinθ/cosθ

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Answer:

12 seconds

Step-by-step explanation:

we need to find the Lcm which is 12
they both flash after 12 seconds

Answer:

Every 12 seconds

Step-by-step explanation:

You must find the LCM (Least common denominator)

4 x 3 = 12

Because 3 goes into 6 and 4 is four so the LCM is 12

Answer: (0, -6)

Step-by-step explanation:

The center is the midpoint of the diameter, meaning that the coordinates of Y must be (0, -6).

Answer:

37.68 ft

Step-by-step explanation:

Formula

Diameter = 2r  (where r is the radius)

Circumference of a circle = πd  (where d is the diameter)

Given:

⇒ Diameter = 2 × 6 = 12 ft

Substituting the given values into the formula:

⇒ C = πd

⇒ C = 3.14 × 12

⇒ C = 37.68 ft

Answer: 60° because 23 and 25 are alternate interior angles

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The fast way: Testing the options!

Teacher loving way:

An= d×n + A0

d= A4-A3=A5-A4=A6-A5...= 6

A3= 0 = 6×3 + A0

A0= -18

Then the equation is: An= 6n - 18

Answer:

2x + 4 = 20 + x

Step-by-step explanation:

X = 16

X+4 = 20

2x + 4 = 20 + x

Answer:

56.52 cm

Step-by-step explanation:

Concepts

The circumference of a circle is the distance around it, or the perimeter of the circle. The formula to find the circumference is 2πr, where r = radius.

Application

We're given the radius as 9 cm, and we have to find the circumference of the circle using π as 3.14. Let's use the formula 2πr to solve for this.

Solution

Using the z-distribution, it is found that 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have no estimate for the true proportion, hence we use [tex]\pi = 0.5[/tex], and solve for n when M = 0.03. Then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{(0.5)(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.03}\right)^2[/tex]

n = 1067.11.

Rounding up, 1068 students have to be polled to be 95% confident of the outcome within +/- 3% of the vote.

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1x1=1

1x2=2

2x3=6

6x4=24

24x5=120

120x6=720

720x7=5040

the answer is 720 and 5040

Answer:

See the attachment.