please answer and explain #17 :)

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

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Answer:

Amplitude = 5.5 units

Domain = All Real Numbers

Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.

Answer:

The result is different

Step-by-step explanation:

Hope this helps

Answer:

ohhhhh and who is the jeweler

Answer:

35

Step-by-step explanation:

its the 4th step your welcome

20-25-30-35

56-49-42-35

Answer: 35 I got it correct on the quiz

Step-by-step explanation:

Answer:

-32?

Step-by-step explanation:

Step-by-step explanation:

Greatest expression=10.6× (5280 −314)

Least expression= (5280−314)÷111

The greatest value is the maximum value in given observation and least value is the minimum value in the given observation.

Solution of first expression

[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]

Solution of second expression

[tex]5280-314= 4966[/tex]

Solution of third expression

[tex]10.6*(5280-314)=53632.8[/tex]

Solution of fourth expression

[tex](5280-314)/111=44.74[/tex]

From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)

To know more about solving expression

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9514 1404 393

Answer:

  22.6

Step-by-step explanation:

The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...

  d^2 = 16^2 +16^2 = (16^2)(2)

Taking the square root, we have ...

  d = 16√2 ≈ 22.6 . . . . inches

Answer:

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Answer:

D. 16 square inches

Step-by-step explanation:

Hope this helps

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

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Answer:

38g

Step-by-step explanation:

Product means multiplication so:

The product of 38 and g is 38g

Answer:

7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

Answer:

C

I have done the math on a calculator. :p

Answer:

C

Step-by-step explanation:

First you Just Divide

and the remainder

will be R4 and it's 76÷6

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

------------------

40 + 30 + 24 = 94

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

Answer:

diameter = 8.6 cm

Step-by-step explanation:

diameter = 27/π = 8.6 cm

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

Answer:

0.75

Step-by-step explanation:

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

Answer:

[tex]\frac{576}{47}[/tex]

Step-by-step explanation:

[tex]24^{2} = 576[/tex], since 47 is a prime number and 576 isn't divisible by it, [tex]\frac{576}{47}[/tex] would be the best answer.

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is:  4.75%

Answer:

(-11, -7)

Step-by-step explanation:

The original point is (-9,-2)

The transformation you have to do is (x-2 , y-5)

This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)

So, your final answer would be (-9-2,-2-5) which is (-11,-7)