can I have detailed explanation please ​

Answer:

5.236 units

Step-by-step explanation:

The relation between r, θ and arc length ( l ) is,

l = rθ

l = 1 * 5π / 3

( The value of π = 3.14 approximately )

5π = 5 x 3.14 = 15.7

l = 1 * 5π / 3

= 5π / 3

= 15.7/3

l = 5.236 units

Note : -

Arc length is denoted by " l ".

Answer:

7/30

Step-by-step explanation:

First we subtract. 3/5-1/4 is 12/20-5/20=7/20. Then we multiply 2/3 with 7/20.

7/20*2/3=14/60 or 7/30

Answer:

156.32 joules 

Step-by-step explanation:

In this case, we know the force of 64 N and the distance of 3 m. We also know that there is a 120°angle between the angle of the direction of applied force and the direction of motion. So plugging these values into our handy equation yields:

W = 64(3)cos(120)= 156.32 Joules

So the 64 N force at a 120° angle did 156.32 joules of work moving the book 3 meters.

Answer:

ah

Step-by-step explanation:

Answer:

128 cubes can fit in.

Step-by-step explanation:

We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit

We must find: The number of cubes that can fill the prism

Firstly, find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Next find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128

Therefore 128 cubes can fit in.

The potential problems with Antonia's simulation is that she over simulated the situation and her conclusion has the misleading data.

The potential problems is the simulation or method to analysis what is gone wrong in a particular program.

She sets her chess computer program to play 100 first moves in the game of chess. In this simulation, she only focuses on first move and overstimulated the situation.

Antonia concludes that of the 20 possible opening moves in chess, most players will move the pawn piece in front of the queen forward two spaces.

In this conclusion she has misleading data as each player has different strategy.

Thus, the potential problems with Antonia's simulation is that she over simulated the situation and her conclusion has the misleading data.

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Answer:

(f - g)(x) = x - 6

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= [3x - 2] - [2x + 4]

= 3x - 2 - 2x - 4

= x - 6

(f - g)(x) = x - 6

Answer: The thickness of each cookie = 0.5 inch

Step-by-step explanation:

Answer:

612500

Step-by-step explanation:

Answer:

the answer to this question is 19

Answer: m=19

Step-by-step explanation:

First you cross multiply the two fractions. So you get 9*m = 57*3.

When you put 57*3 in a calculator you get 171. So the equation is 9m=171 and then to isolate the x you divide by 9. So when you put 171/9 in a calculator you get 19. So the correct answer is C. 19.

If she paddles directly to Kono's then the minimum time for the lunch will be 3.9 hours.

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Brooke is located 5 miles out from the nearest point A along a straight shoreline in her sea kayak.

Hunger strikes and she wants to make it to Kono's for lunch; see picture.

Brooke can paddle at 7 mph and walk at 14 mph.

Distance from Brooke to shore will be

→ √(5² + x²)

Then the time will be

[tex]t_1 = \dfrac{\sqrt{5^2 + x^2}}{2}[/tex]

Then the distance from shore to Kono's will be

→ 6 - x

Then the time will be

t₂ = (6 - x) / 4

Then the total time will be

t  = t₁ + t₂

Then we have

[tex]t = \dfrac{\sqrt{5^2 +X^2}}{2} + \dfrac{6-x}{4}\\[/tex]

t = 1/4[2√(5² + x²) + 6 - x]

If she paddles directly to point A will be

t = 1/4[2√(5² + 0²) + 6 - 0]

t = 1/4 (10 + 6)

t = 16 /4

t = 4 hr

If she paddles directly to Kono's, then we have x = 6. Then the time will be

t = 1/4[2√(5² + 6²) + 6 - 6]

t = 1/4[2√61]

t = 3.9 hr

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Answer:

B) 105 Friday night

Step-by-step explanation:

y= 7x°=(5x+30)°=7x=15°

y°=7x15°=105°

(according to title)

The length of the fish caught that is equal to the lower quartile in the given box plot is: 10 inches.

The lower quartile (Q1) of a data is indicated on a box plot as the value at the beginning of the edge of the rectangular box.

The value at the beginning of the edge of the rectangular box in the box plot is 10.

Therefore, the length that is equal to the lower quartile is: 10 inches.

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Answer: the answer is D or for some people that have theres fliped its 10 inches

Answer:

2.546cm

Step-by-step explanation:

formular for calculating the circumference of a circle is = πd

where π = 3.142

d = diameter

from the question,

C= πd

8=3.142×d

8= 3.142d

dividing bothsides by 3.142

8/3.142= 3.142f/3.142

d = 8/3.142

d = 2.546cm

Let us first consider how many sides this figure has:

  ⇒ it has 6 sides

Now to find the supposed sum of all the angles added up together for a hexagon, must use:

  ⇒ [tex]Formula =(n-2)*180[/tex]

Let's plug in the number of sides:

  [tex]Sum_.of_.angles=(6-2)*180=720[/tex]

Therefore all the angles of a hexagon must equal 720 degrees:

   [tex]x + 90 + 110+160+90+140=720\\x + 590=720\\x = 130[/tex]

The value of x is 130.

Answer: 130

Hope that helps!

Answer:

x^2 + y^2 = 9

Step-by-step explanation:

The equation of a circle is (x^2) -a)^2 + (x^2) - b)^2 = r^2, where a and b are the center of the circle. Because the center of the circle is (0,0), it'll just be x^2+y^2 for one half of the equation. If the circle passes through (-3,0), that would mean the radius of the circle is 3. r^2 is 3^2, which is 9, so the equation of the circle is x^2 + y^2=9. Hope this helps!

The equation of the circle is x² + y² = 9

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the point be represented as A ( -3 , 0 )

Now , the center of the circle = O ( 0 , 0 )

And , standard form of a circle is

( x - h )² + ( y - k )² = r²

where In this case, we know that the circle passes through the point (-3, 0) and is centered at the origin (0, 0). Therefore, the radius of the circle is the distance from the origin to (-3, 0), which is:

r = √((-3 - 0)² + (0 - 0)²) = √(9)

r = 3 units

So the equation of the circle in standard form is:

(x - 0)² + (y - 0)² = 3²

On simplifying , we get

x² + y² = 9

Hence , the equation in standard form for the circle passing through (-3,0) centered at the origin is x² + y² = 9

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Answer:

B (4-x = x-4)

Step-by-step explanation:

both the x-intercepts are (4,0)

Answer:

V≈217.82

Step-by-step explanation:

I'm pretty sure

Answer:

The median of the data set:

6, 15, 30, 45, 47, 49

The middle numbers are 30 and 45 so

You have to do 30 + 45

= 75

Then do 75 ÷ 2

= 37.5

The mean of the data set:

47, 15, 6, 49, 45, 30 (add them all)

= 192

Then divide 192 by 6 (because there are 6 numbers)

192 ÷ 6

= 32

So the median is 37.5 and the mean is 32.

Step-by-step explanation:

Hope this helps!

From your neighborhood softie :)

Using proportions, it is found that the coordinates of point C are given as follows: C(-7, -2).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point C divides the line segment OP into the ratio 3:5, hence the following equation is used to relate the points:

[tex]C - O = \frac{3}{8}(P - O)[/tex]

Then, for the x-coordinate:

[tex]x + 10 = \frac{3}{8}(-2 + 10)[/tex]

x + 10 = 3

x = -7

For the y-coordinate:

[tex]y + 8 = \frac{3}{8}(8 + 8)[/tex]

y + 8 = 6

y = -2

The coordinates of point C are given as follows: C(-7, -2).

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Answer:

[tex](x-5)(x+3)[/tex]

Step-by-step explanation:

Factor by grouping

[tex]x^2-2x-15\\x^2+3x-5x-15\\x(x+3)-5(x+3)\\(x-5)(x+3)[/tex]

Answer:

[tex]\boxed{\bf \angle B = 58^{o}}[/tex]

Step-by-step explanation:

The cyclic quadrilateral sum of the opposite angle is 180°. From the given figure....

[tex]\bf \angle B + \angle D= {180}^{o} [/tex]

Where....

~[tex]\bf \angle B = 3x+7[/tex]

~[tex]\bf \angle D = 6x+20[/tex]

Now, that we found x, let's find angle B....

[tex]\sf Therefore, \: \boxed{\sf \angle B = 58^{o}}[/tex]

Answer:

Therefore the ration 5 : 9 is equal to 10 : 18 , 15.27 and so on

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

I just typed it in the calculator graph and scrolled down past the errors

Answer:

B. False

Step-by-step explanation:

To determine if a graph represents a function, you can use the vertical line test. A graph is a function if no vertical line intersects the graph at more than one point. In this graph, a line can intersect the graph at more than one point, therefore, it is not a function.

hope this helps!

Answer:

5.189-2.94=2.249

Step-by-step explanation:

Use the calculator.

Answer:

169.56 m³

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» Application

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» Solution