Evaluate arcsin(1) and arctan√3

Answer:

y = 15

Step-by-step explanation:

JKLM ~ PQRS means that quadrilateral JKLM is similar to quadrilateral PQRS.

In similar shapes the corresponding sides have same ratio and the corresponding angles are congruent.

This means angle J is congruent to angle P, K is congruent to Q, L is congruent to R and M is congruent to S. Order of the vertices matters.

Solving for y.

Angle J is congruent to angle P.

5y - 4 = 71 Add 4 on both sides.

5y = 71 + 4

5y = 75  Divide both sides with 5.

y = 15

(Btw your solution for x is wrong.)

Answer:

See Down Here

Step-by-step explanation:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see that the correct option is D:

g(x) = (x/3)^2

By looking at the graph we can see that f(x) and g(x) are two quadratic functions, and g(x) is just a dilation of f(x).

This means that:

g(x) = A*f(x)

Where A is a real number.

We know that:

f(x) = x^2

And by looking at the graph, we also know that g(3) = 1.

Then we can write:

g(3) = A*f(3) = A*3^2 = 1

Now we can solve this for A:

A*3^2 = 1

A*9 = 1

A = 1/9

Then we have:

g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2

So the correct option is D.

If you want to learn more about quadratic equations, you can read:

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Answer:

5/12

Step-by-step explanation:

1/4 × 60 = 15

He gave 15 cakes to Helen.

He gave 20 cakes to Sue.

20 + 15 = 35

He gave away a total of 35 cakes.

60 - 35 = 25

He has 25 cakes left.

fraction = 25/60 = 5/12

Answer:

see photo attached for detailed information

Step-by-step explanation:

The histogram depicts that the number shipments that had more than 20 light bulbs broken is D. 12.

A histogram simply means a graphical representation that is used to organize a group of data points into ranges.

From the complete question, the histogram shows that the number shipments that had more than 20 light bulbs broken is 12. This can be interpreted based on the ranges shown in the histogram.

Learn more about histogram on:

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Answer:

(6, 0)

Step-by-step explanation:

Coordinates are written in the form (x, y), where x is the x-axis value that the point is in, in this case 6, and where y is the y-axis value, in this case 0.

Hi!

Answer:

(6, 0)

Step-by-step explanation:

Coordinate point "G" on this graph is on the very bottom. On the X axis, point G is on the 6. On the Y axis, its on the 0, so since the domain, (X) comes first before the range, (Y), you get (6, 0)

I hope this helped! Have a wonderful day! :)

Answer:

c. x < 4

Step-by-step explanation:

-5x < -15x + 40

bring -15x to the left to combine like terms

-5x +15x < -15x + 15x + 40

10x < 40

divided both sides by 10 to get x alone

10x / 10 < 40 / 10

x < 4

Angle one and two lie on straight line.

this means there sum is equal to 180°

Given :-

so we can say :-

[tex] \angle1 + \angle2 = 180 \degree \\ 7x + x + 12 = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{ \cancel{168} {}^{ \: \: 21} }{ \cancel8} \\ x = 21 \degree[/tex]

so angle one = 7x= 7×21 = 147°

angle two = x+12 = 21+12 = 33°

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X         Given     Predicted     Residual value

1            3.5           4.06             -0.56

2           2.3           2.09             0.21

3            1.1            0.12               0.98

4           2.2           -1.85              4.05

5          -4.1            -3.82            -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : https://brainly.com/question/16821224

Answer:

A: Yes, because the points have no clear pattern.

Step-by-step explanation:

Edge quiz 100%

Answer:

x = 59

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] x = 14 [tex]\frac{3}{4}[/tex] ← convert to improper fraction

[tex]\frac{1}{4}[/tex] x = [tex]\frac{59}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

x = 59

[tex]\textbf{a)}\\\\~~~~~~8x+y = 15\\\\\implies y = 15-8x\\\\\textbf{b)}\\\\~~~~~~9x+y = 13\\\\\implies y = 13 -9x\\\\\textbf{c)}\\\\~~~~~-4x+y = -6 \\\\\implies y = 4x -6 \\\\\textbf{d)}\\\\~~~~~-5x +y = -1\\\\\implies y = 5x -1[/tex]

Step-by-step explanation:

1. 8x+y=15

y=15-8x

2. 9x+y=13

y=13-9x

3. -4x+y=-6

y=4x-6

4. -5x+y=-1

y=5x-1

Answer:

11

Step-by-step explanation:

The median is the middle number when they're in ascending or descending order.

In ascending order the numbers are;

5,7,8,9,13,13,15,20

There are two middle numbers, 9 and 13. The median is half-way between the two, which is 11

Answer:

44 degrees

Step-by-step explanation:

angle c = 90 degrees

angle a = 46 degrees

the measure of all sides on a triangle is 180

so to solve for the other side we can do this equation...

180 - (90 + 46) = 44

hope this helped, mark as brainliest pls

Answer:

all the answer choices are correct

Step-by-step explanation:

reflections & rotations dont change any of the angle measures

Answer:

5% is the percetange for 3 out of 60

Answer:

5%

Step-by-step explanation:

you know 10% of 60 is 6. 3 is half of 6, and 5% is half of 10

I hope this helps and have a wonderful day :)

===========================================================

Explanation:

There are two approaches here.

Method 1

Focus on the numbers along the top only.

The left arrow points at 50 while the arrow on the right points at 180. Subtract these numbers to get 180 - 50 = 130

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

Method 2

Focus on the numbers along the bottom row this time.

The left arrow points at 130 and the right arrow points at 0

The difference of which is 130 - 0 = 130

Because we're subtracting off 0, it means we can simply look at only one number without having to do any math. This only works if the other portion of the angle is pointing at 0 or 180.

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

Notice that 130 degrees is larger than 90, so this angle is obtuse. This means that if you aren't sure whether to go with 50 or 130, it will depend on if it's acute or obtuse.

Answer:

Step-by-step explanation:

Answer:

n + 50 = 90; n = 40

Step-by-step explanation:

the angle is a right angle so it adds up to 50

one side is 50

so

n + 50 = 90

subtract 50 to both sides

n = 40

Hey there!

2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n) 

= 2(24) + 2(14.4n) + 2(9.6n)

= 48 + 28.8n + 19.2n

= 48 + 48n

= 48n + 48

Thus, your answer should be: 48n

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

<m(lkj)+<m(ghi)=180°

34°+<m(ghi)=180°

180°-34°=<m(ghi)

146°=<m(ghi)

The researcher ought to have divided the volunteers into two groups; the treatment group and the control group at random.

The scientific method must include the tools of observation, experimentation and conclusion.

In this case, the researcher ought to have divided the volunteers into two groups; the treatment group and the control group at random.

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Answer:

55

Step-by-step explanation:

In solving area for parralelegrams, you have to ingore the height, 40*15=55.

Answer:

Souvenir = £14

Burger = £3.50

Pass = £21

Step-by-step explanation:

Souvenir = £x

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

Pass = [tex]\frac{3}{2}x[/tex]

[tex]\frac{1}{4}x + \frac{3}{2}x +x = 40 - 1.5[/tex]

[tex]\frac{1}{4}x+\frac{6}{4}x+x= 38.5[/tex]

[tex]\frac{11}{4}x = 38.5[/tex]

[tex]11x = 154[/tex]

[tex]x = 14[/tex]

Answer:

8%

Step-by-step explanation:

9+3=12 (total number of students that write left handed)

90+60=150 (total number of 6th graders)

12/150 x 100% = 8%

The single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

From the figure, we have the following highlights

The above highlights mean that the single transformation that maps a onto triangle b is a rotation of 180 degrees across the common vertex of triangles a and b

Read more about transformation at:

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