Match the word with the definition.

Complete question:

A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.

Calculate  the angle subtended at the centre by the minor arc after 1 second.

Answer:

the angle subtended at the centre by the minor arc is 30⁰

Step-by-step explanation:

Given;

radius of the wheel, r = 10 cm = 0.1 m

angular speed of the when, ω = 5 rev/min

duration of the motion, t = 1 second

Determine the angular speed in radian per second,

[tex]\omega = 5\ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \ \times \frac{1 \min}{60 \ s} = \frac{10\pi \ rad}{60 \ s} = \frac{\pi }{6} rad/s[/tex]

After 1 second, the angular distance turned by the wheel is calculated as;

[tex]\theta = \omega t\\\\\theta = \frac{\pi \ rad} {6 \ s} \times 1 \ s\\\\\theta = \frac{\pi } {6 } \ rad\\\\in \ degrees; \theta = \frac{\pi \ rad}{6} \times \frac{180^0}{\pi \ rad} = \frac{180^0}{6} = 30^0[/tex]

Therefore, the angle subtended at the centre by the minor arc is 30⁰

Answer:

41 1/7

Step-by-step explanation:

5 1/7 x 8

Convert 5 1/7 to improper fraction

5 1/7 = 36/7

Multiply.

36  x  8

----      --

7   x    1

288/7

Simplify.

41 1/7

---

hope it helps

Answer:

Jaden could have scored 0, 7, 14, 21, 28, 35 or 42 points.

Step-by-step explanation:

Multiples of 7 less than 45:

7*0 = 0

7*1 = 7

7*2 = 14

7*3 = 21

7*4 = 28

7*5 = 35

7*6 = 42.

7*7 = 49(above 49 so does not count in the context of this question).

How many points could Jaden have scored?

Jaden could have scored 0, 7, 14, 21, 28, 35 or 42 points.

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here f(x) is shifted 4 units to the right , so

g(x) = | x - 4 |

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted 6 units up , so

g(x) = | x - 4 | + 6 → B

The simplified equation for the new function is g(x) = |x - 4| + 6.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The absolute value parent function is f(x) = |x|.

To shift 4 units to the right, we replace x with (x - 4) since we want the graph to move 4 units to the right.

To shift 6 units up, we add 6 to the entire function since we want the graph to move 6 units up.

So the equation of the new function g(x) is:

g(x) = |x - 4| + 6

Thus,

The simplified equation for the new function is g(x) = |x - 4| + 6.

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Answer:

Step-by-step explanation:

c i think

Answer:

d) Acute

Step-by-step explanation:

if all three angle measures are less than 90 degrees, the triangle is acute

its A f(x) =8x+6

Put the value of x in each f(x)

for instance: put the -½ in third f(x) you will have f(x)= -2,but the first f(x) =2

Answer:

Step-by-step explanation:

bc²-2a/b=6(3)²-2×12/6=54-4=50

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

Answer: 48 tickets

Step-by-step explanation:

Since the expression that gives the number of tickets a player wins if he shoots the ball in the hoop t times is expressed as 3t.

Therefore, the number of tickets that a player wins if he shoots the ball in the hoop 16 times will be:

= 3t

where,

t = 16

Therefore, 3t = 3 × 16 = 48

The player wins 48 tickets.

Answer:

Step-by-step explanation:

13+24m=41m

13=41m-24m

13=17m

13/17=m

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

13 + 24m = 41m

13 = 41m - 24m

13 = 17m

= 13/17 = m

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

[tex]Ratio = 2 : 15[/tex]

Step-by-step explanation:

Given

[tex]k = 2 : 15[/tex] --- scale factor

Required [missing from the question]:

The ratio of width of the model to the original

From the question, we understand that the scale factor is: 2 : 15

The ratio of the width of the model to the original equals the given scale factor i.e.

[tex]Ratio = 2 : 15[/tex]

Answer:

Each angle is 60 degrees

Step-by-step explanation:

The sides of the triangle are equal, which means the angles are equal. Since the sum of the interior angles of a triangle are 180 degrees, each angle is 180/3 = 60 degrees.

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

The amount of sales is 7500$

Answer:

14 books my good sir

Step-by-step explanation:

Answer:

set c is the answer

Step-by-step explanation:

for a pair to be a function it can't have 2 different numbers for the same x value

Answer:

c=6

Step-by-step explanation:

7c+11=53

you subtract 11 from both sides giving you

7c=42

then divide both sides by 7

c=6

Answer:

1

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

Answer:

88km is your answer

Step-by-step explanation:

brainlest pls

Answer:

108 cm^2

Step-by-step explanation:

SA = PH + 2 * 1/2bh

SA = (3 + 4 + 5)(8) + 2 * (1/2) * 3 * 4

SA = 96 + 12

SA = 108

Answer: 108 cm^2

Answer:

11. x = 6

12. x = 7

Step-by-step explanation:

11.

16x - 6 = 90

16x = 96

x = 6

12.

12x - 4 = 10x + 10

2x = 14

x = 7

Answer:

Sorry sorry sorry sorry!! Please forgive me! I need this to pass a very important exam!! Sorry again!! Ily!!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

[tex]\frac{(102+119+107+114+110+x)}{6} =118\\\\6*(\frac{(102+119+107+114+110+x)}{6}) =118*6\\\\x+552=708\\\\x+552-552=708-552\\\\\boxed{x=156}[/tex]

Hope this helps.

The base of the parallelogram formed from the circle is half the circumference or πr .

A circumference is the length of the circle which is the perimeter of the circle.

The circumference of the circle can be given by the formula C = 2πr , where r is the radius of the circle.

If a circle is divided into equal sectors then the approximate size of the polygon formed by rearranging the sectors is a parallelogram.

The base of the parallelogram will be half of the circumference , or

base = 0.5 × 2 πr = πr

And the height will be the radius r of the circle.

Now area of a parallelogram is given by  base × height

Now area = πr × r = πr²

Therefore the area of the circle is πr² .

Hence the base of the parallelogram formed from the circle is half the circumference or πr .

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Answer:

y = 2x -8

Step-by-step explanation:

The slope intercept form for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x -8