What type of transformation does the image below depict?
two triangles on a cartesian plane with an arrow in between
translation
dilation
rotation
reflection

The degrees of rotation that will carry the square onto itself are,

⇒ 90°, 180°, 270°, 360°

Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.

Given here:

A square is rotated clockwise about center point P.

Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.

So if you take 360/4 you get 90 degree rotations to each consecutive vertex.

or more specifically;

= 360/4

= 90

Hence, the square will coincide itself after every integral multiple of 90.

Thus, 90°, 180°, 270°, 360° are the required angles of rotation.

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Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

g(-3)= -3^3-7

= -27-7

= -34

Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

A

Step-by-step explanation:

Answer:

Nonlinear association

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

25+27+30+15+18+24+15 all divided by 7

Answer:

17.99

Step-by-step explanation:

Trig Ratios:

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)

Recall that sin = opposite over hypotenuse

That being said we want to create an equation to solve for w

[tex]sin(40)=\frac{w}{28}[/tex]

Now we solve for w

Step 1 multiply each side by 28

[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]

we're left with w = 17.99

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Answer:

the period is the to top points of the highest points on top of the crests

The period of function is,

P = 5

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 10/2

P = 5

Because there is two wave are shown.

Therefore, The period of function is,

P = 5

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Answer:

a) 12/52 = 3/14

b) 26/52 = 1/2

c) 4/52 = 1/13

d) 13/52 = 1/4

e) 8/52 = 2/13

Step-by-step explanation:

a) there are 12 face cards and 52 in the deck

b) half the cards are red, the other half black

c) one queen in each of four suits

d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.

e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Answer:

1. make both equal, so...

-14/24 + 9/24

=-5/24

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

No. of times coin landed head up / Total no. of flips

= 125 / 300

= 25*5 / 25*12

= 5 / 12

mean: 5.5 hours

range: 7.9 hours

Answer:

571

Step-by-step explanation:

We solve using z score.

z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 480

σ is the population standard deviation = 70

z = 1.3

Hence,

= 1.3 = x - 480/70

Cross Mulitiply

1.3 × 70 = x - 480

91 = x - 480

x = 480 + 91

x = 571

Therefore, Marulla's raw score is 571

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

Could you please express this question better, I don't seem to understand the objective.

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

Give The Rest of the question

Answer:

Reflection about x axis

r(1,2)-----------r'(1,-2)

, s(3,3) ..........s'(3,-3)

and t(-3,4).....t'(-3,-4)

Answer:

y = 3x² - 15x + 18

Step-by-step explanation:

y = 3(x - 3)(x - 2) ← expand factors using FOIL

   = 3(x² - 5x + 6) ← distribute parenthesis by 3

y = 3x² - 15x + 18 ← in standard form

ANSWER

SEE EXPLANATION

Step-by-step explanation:

3(x²-2x-3x+6)

3(x²-5x+6)

3x²-15x+18

Answer:

A

Step-by-step explanation:

Concept :-

On converting :-

[tex]\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}[/tex]