chord properties of a circles
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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: 60° because 23 and 25 are alternate interior angles

Step-by-step explanation:

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

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:

(-2.5, -2) (-2, -1.5) (1.5, 2) (2, 2.5)

Step-by-step explanation:

In these intervals, the y value is decreasing.

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:

( [tex]\frac{1}{4}[/tex], 8 )

Step-by-step explanation:

y = 8x + 6 → (1)

y = 32x → (2)

substitute y = 32x into (1)

32x = 8x + 6 ( subtract 8x from both sides )

24x = 6 ( divide both sides by 24 )

x = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]

substitute this value into either of the 2 equations and solve for y

substituting into (2)

y = 32 × [tex]\frac{1}{4}[/tex] = 8

solution is ( [tex]\frac{1}{4}[/tex], 8 )

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:

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:

Step-by-step explanation:

Answer:

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

Answer:

[tex]r = 7\ km[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A = \pi r^2[/tex]

Since we know that a semicircle is half of a circle, we can say the area is:

[tex]A = \frac{1}{2}\pi r^2[/tex]

From here solve for r:

[tex]76.97 = \frac{1}{2}\pi r^2\\153.94 = \pi r^2\\\frac{153.94}{\pi} = r^2\\r = \sqrt{\frac{153.94}{\pi}}\\r = 7[/tex]

Answer:

81

Step-by-step explanation:

that is the solution above

The exact dimension of the prism is as follows;

volume of rectangular prism = Bh

where

Therefore,

volume  = 100 cm³

Hence, the base of the prism is a square. The whole side of the base is equal.

Therefore,

length = width = x

x² = h

Therefore,

x² × x × x = 100cm³

x⁴ = 100

volume = x = [tex]\sqrt[4]{100}[/tex]

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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:

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:

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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The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

Given that:

[tex]f(x)=cx\ \ at\ 0 < x < 2[/tex]

Here we can see that the value of x is varies as 0,1,2

So at 0,1,2 the value of the function is

[tex]f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\[/tex]

So the probability density function is given as:

[tex]\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1[/tex]

[tex]3c=1\\\\c=\dfrac{1}{3}[/tex]

Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

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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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Step-by-step explanation:

Formula:

(c + d i)(e + f i) = (c e - d f) + (c f + d e) i

……………………………………………………………

if c, d, e, and f are positive real numbers

then

c f + d e  is a positive number.

then

The product of the two complex numbers

lies in Quadrant 1 or Quadrant 2.

Since , c, d, e, and f are positive real numbers

Then

The two complex numbers c + d i  and  e + f i  lie in Quadrant 1

We want to find an example of two complex numbers

That lie in Quadrant 1 ,such that ,their product lies in the other possible

Quadrant, which is Quadrant 2.

EXAMPLE:

Let c + d i = 1 + i

      e + f i = 2 + 3i

By applying the formula:

(c + d i)(e + f i) = (c e - d f) + (c f + d e) i

We get :

(1 + i)(2 + 3i) = -1 + 5i

Answer:

there are 83 percent of books

Answer:

18 feet³

Step-by-step explanation:

3 · 3 · 2 =

9 · 2 =

18 feet³