PLEASE HELP ME WITH THIS

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

The amount of sales is 7500$

Answer:

14 books my good sir

Step-by-step explanation:

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

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hope it helps

Answer:

d) Acute

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

c i think

Answer:

[tex]f'(y) = -9e^{-9y}[/tex]

Step-by-step explanation:

The given function is :

[tex]f(y) = 8 + e^{-9y}[/tex]

We need to find the value of f'(y).

[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]

[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]

So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].

t is greater than

Step-by-step explanation:

make me brainlist

Answer:

88km is your answer

Step-by-step explanation:

brainlest pls

Answer:

32 is the value

Step-by-step explanation:

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.

3.19,3.51,3.72,3.93

Step-by-step explanation:

3.19=3.2

3.51=3.5

3.72=3.7

3.93=3.9

you take over the number kn the tenth .... if its 1 234 you round down and if its 5 or more you round up... simple

Answer:

3 or 1/3 depending on going from small to large, or from large to small

Step-by-step explanation:

the same scale factor applies to all sides of the transformed shape.

when going from small to large, every unit of side length turns into 3 units.

when going from large to small, every 3 units of side length turn into 1 unit.

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:

option C both

Step-by-step explanation:

13x - 42 = 18 -7x

13x + 7x -42 = 18

20x - 42 = 18  ------------joey

13x - 42 = 18 - 7x

13x = 18 +42 -7x

13x = 60 -7x ---------nolan

Answer:

n>- 5/14

Step-by-step explanat

Answer:

10 percentage is the ans

Step-by-step explanation:

see the pic there is full step

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!

Step-by-step explanation:

practical range = 8

vertical line test = 5

range = 3

domain = 2

relation = 1

function = 4

function Notation =6

practical domain=7

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

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

9514 1404 393

Answer:

  484 cm³

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = 1/3Bh

where B is the base area and h is the height.

Here, the base is a square 11 cm on a side, so its area is ...

  B = s² = (11 cm)² = 121 cm²

Then the volume of the pyramid is ...

  V = 1/3(121 cm²)(12 cm) = 484 cm³

finish the question

Step-by-step explanation:

Answer:

j+23=52

Step-by-step explanation:

Answer:

Step-by-step explanation:

bc²-2a/b=6(3)²-2×12/6=54-4=50

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

Answers:

The blue angle is 135 degrees

The angle is obtuse

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

Explanation:

Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.

Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135

Either way, you should get to 135 degrees as the angle value.

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

The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.

Answer:

51

Step-by-step explanation:

90-39 = 51