What is the radius of the button? 26 millimeters

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

Answer:

im pretty sure what u have ther is right

Answer:

90

Step-by-step explanation:

Answer:

you were right

Step-by-step explanation:

180-104 is 76 76-10=66 66/2 is 33

Answer: x = 33

Step-by-step explanation:

Well since that line is basically equal to 180 all you have to do is plug in those numbers for x. Since 33 + 10 = 43 Alll you gotta do is add that up. So we have 104 + 33 + 43 = 180. I’m not the best at explaining things but I hope this helped :)

Answer: 70 m

Step-by-step explanation: 4 inch 4·17.5 m = 70 m

Answer:

First, we find how many red beads there are:

2 + 1 + 3 = 6

12 - 6 = 6

Red beads = 6

Now we add the red beads and the purple beads:

Purple beads = 3

Red beads = 6

3 + 6 = 9

9/12 = 3/4

Hope this helps!

Answer:

pretty sure its 68 or 66 dont put 34 tho lol

Answer:

second term: 9

4th term:81

[tex](3rd \: term)^{2} = 9 \times 81[/tex]

=729

[tex] \sqrt{729} = 27[/tex]

3rd term=27

[tex] {9}^{2} = a1x27 \\ 81 = 27a1[/tex]

a1=3 the first term

[tex]81 = 3 \times {q}^{3} [/tex]

[tex] {q}^{3} = 27[/tex]

q=3

[tex]s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5[/tex]

Answer:

Step-by-step explanation:

20 = 5y

4=y

x+3y = 2(x+y-1)

x+3y = 2x +2y -2

x+3(4) = 2x + 2(4) -2

x +12 = 2x +8 -2

12-8+2 = 2x -x

6 =x

The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.

Given is a polygon,

We know opposite sides of a parallelogram are equal,

Therefore,

5y = 20

y = 20/5

y = 4

And,

Putting y = 4, in x+3y = 2(x+y-1)

x+12 = 2(x+3)

x+12 = 2x+6

x = 12-6

x = 6

Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

For more references on parallelograms, click;

https://brainly.com/question/19187448

#SPJ2

Question Completion:

California (population about 40 million) has about twice as many people as New York State (population about 20 million). Without calculation, pick the correct option and explain your choice.

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

(ii) about 1/V2 times as accurate

(iii) about as accurate

(iv) about V2 times as accurate

(v) about twice as accurate

as a simple random sample of 1000 people in New York State.

Answer:

If the underlying population SDs are equal, a simple random sample of 1000 people in California is

(i) about half as accurate

as a simple random sample of 1000 people in New York State.

Step-by-step explanation:

Since the population of California is about 40 million, which is twice as many people as in New York State (approximately 20 million), in taking a sample size, that of California supposed to be as twice as New York's.

Therefore, if the random sample of 1,000 people is taken from California, just as a random sample of 1,000 people is also taken from New York State, we can conclude that the accuracy of population standard deviation of California will be about half as accurate as the standard deviation of New York's population.

This is because accuracy is enhanced by a larger sample size.  This means that if the sample size of California is 2,000, the SD would have been equally as accurate as New York's.

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

Answer:

y = 9

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

Step-by-step explanation:

answerss

the Last one or the 1st one but go w it the last

Answer:

-2/5

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= (3-9)/(0+15)

= -6/15

= -2/5

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Answer: C. 1,485 cubic feet

Step-by-step explanation:

Ur welcome :)

Answer:

I am assuming the storage shed is shaped like a rectanglular prism.

v=lwh

v=9*15*11

v=1485 cubic feet

Answer is C.

Answer:

90

Step-by-step explanation:

There are 10 ones in 1 ten.

So if you have 9 tens then...

10 x 9 = 90

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

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Explanation:

Point L is located at (-8, 1) while P is at the point (7,7)

Let's apply the slope formula for these two points

m = (y2-y1)/(x2-x1)

m = (7-1)/(7-(-8))

m = (7-1)/(7+8)

m = 6/15

m = (3*2)/(3*5)

m = 2/5 is the slope of line LP

A slope of 2/5 means that each time you go up vertically 2 units (rise), you move to the right 5 units (run). In short, it's "up 2, over to the right 5". A positive slope means we move upward as we move from left to right.

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5