What sequence of transformation takes A to its image, B?
A, Reflection over the x-axis and translation 2 units down
B, reflection over the y-axis and translation 2 units down
C, translation 2 units down and 90* rotation about the origin
D, translation 12 units right and 90* rotation about the origin

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

The sequence from the smallest to the largest is angle B, angle A, angle C .

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given AB= 22 units

BC=16 units

AC=12 units

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .

To learn more on Triangles click:

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Answer:

1. They can divide it up so each person gets 2.25 of a cookie.

2. [tex]\frac{1}{12}[/tex]

3. [tex]\frac{3}{5}[/tex]

4. 4.625

5. [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

1. They can each have 9 ÷ 4 = 2.25 of a cookie

2. So we have 4 • 3 = 12 pieces. [tex]\frac{1}{12}[/tex]

3. They will get to eat [tex]\frac{3}{5}[/tex] of a bag.

4. 74 ÷ 16 = 4.625

5. Will and his 2 friends = 3 people [tex]\frac{10}{3}[/tex]

Answer:

[tex]x = -\frac{5}{2}y + 4[/tex]

Step-by-step explanation:

[tex]2x+5y=8[/tex], so subtract 5y from both sides to get [tex]2x=8-5y[/tex]. Then divide both sides by two to get [tex]\boxed{x = -\frac{5}{2}y + 4}[/tex]

Answer:

it's probably 37 I could be wrong but hope this helps ya

Answer:

20

Step-by-step explanation:

(16)2+(12)2=

 c2\,\,c^{2}c2

Use the Pythagorean Theorem.

256+144=256+144=256+144=

 c2\,\,c^{2}c2

Simplify.

400=400=400=

 c2\,\,c^{2}c2

Simplify.

±400=\pm\sqrt{400}=±400

​=

 c2\,\,\sqrt{c^{2}}c2

​

Square root both sides.

20=20=20=

 c\,\,cc

Simplify. Ignore negative root, as length must be positive.

Given:

The equation is:

[tex]x^2-12x+32=4[/tex]

To find:

The result of completing the square for the given equation.

Solution:

We have,

[tex]x^2-12x+32=4[/tex]

It can be written as:

[tex]x^2-12x=4-32[/tex]

[tex]x^2-12x=-28[/tex]

Now, we need to add half of square of coefficient of x, to complete the square.

Adding [tex](\dfrac{-12}{2})^2[/tex] on both sides, we get

[tex]x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2[/tex]

[tex]x^2-2(x)(6)+(-6)^2=-28+(-6)^2[/tex]

[tex]x^2-2(x)(6)+(6)^2=-28+36[/tex]                 [tex][\because (-a)^2=(a)^2][/tex]

Using the formula [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex](x-6)^2=8[/tex]

Therefore, the required equation after completing the square is [tex](x-6)^2=8[/tex].

Answer:

The answer is letter B.

Step-by-step explanation:

go left 2

up 3

Answer:the answer is mode

Step-by-step explanation:

Step-by-step explanation:

11.

Area of rectangle = 408 in²

Length = 3x-2 and width = x

The area of a rectangle is given by :

A = lb

(3x-2)x = 408

x = 12 inch and x = -11.33 in

Neglecting negative value,

The width of rectangle = 12 inch

The length of rectangle = 3x-2 = 3(12)-2 = 34 inch

12.

Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]

x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

Base = 2x+2 = 2(24)+2 = 50 cm

Hence, this is the required solution.

Answer: [tex]1.4\times 10^{-6}[/tex]

Step-by-step explanation:

Given

The wavelength of light is 0.0000014 inches

Here, seven digits are followed by a decimal point

To convert it to scientific notation, convert it into a fraction i.e.

[tex]=0.0000014=\dfrac{14}{10,000,000}[/tex]

In the denominator, there are 7 zeroes

[tex]\therefore 0.0000014=\dfrac{14}{10^7}\\\\\Rightarrow 0.0000014=14\times 10^{-7}\\\\\Rightarrow 0.0000014=1.4\times 10^{-6}[/tex]

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

To Find :-

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

Answer:

5 in.

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So third side is 5 inches long.

Answer:

15/36 (41.667%)

Step-by-step explanation:

Answer:

d. going from step 1 to step 2.. i think

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

Answer:

37

Step-by-step explanation:

You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10

Answer:

37 :)

Step-by-step explanation:

Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!

Hope this helps! ^^

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Answer:

72

Step-by-step explanation:

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

Answer :

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Answer:

4.2

4.5

3.2 it would be equal to 9.56

Step-by-step explanation:

add 4.2+4.5+3.2=9.56