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3 years ago

Help anyone can help me do the question,I will mark brainlest.

Mathematics

1 answer:

stiks02 [169]3 years ago

3 0

Answer:

Step-by-step explanation:

S=pi*R^2=(area of the sector)*(360/angle of AOB)

so 22/7*9^2=99*360/angle of AOB

-> AOB=140

perimeter of circle: 2*pi*R

permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40

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A group of rowdy teenagers near a wind turbine decide to place a pair of pink shorts on the tip of one blade, they notice the sh

Paladinen [302]

The equation of the sinusoidal function is 7 × sin((π/15)·(x - 2.5)) + 9

Question: The likely missing parameters in the question are;

The time at which the shorts are at the maximum height, t₁ = 10 seconds

The time at which the shorts are at the minimum height, t₂ = 25 seconds

The general form of a sinusoidal function is A·sin(B(x - h)) + k

Where;

A = The amplitude

The period, T = 2·π/B

The horizontal shift = h

The vertical shift = k

The parent equation of the sine function = sin(x)

We find the values of the variables, A, B, h, and k as follows;

The given parameters of the sinusoidal function are;

The maximum height = 16 meters at time t₁ = 10 seconds

The minimum height = 2 meters at time t₂ = 25 seconds

The time it takes the shorts to complete a cycle, (maximum height to maximum height), the period, T = 2 × (t₂ - t₁)

∴ T = 2 × (25 - 10) = 30

The amplitude, A = (Maximum height- Minimum height)/2

∴ A = (16 m - 2 m)/2 = 7 m

The amplitude of the motion, A = 7 meters

T = 2·π/B

∴ B = 2·π/T

T = 30 seconds

∴ B = 2·π/30 = π/15

B = π/15

At t = 10, y = Maximum

Therefore;

sin(B(x - h)) = Maximum, which gives; (B(x - h)) = π/2

Plugging in B = π/15, and t = 10, gives;

((π/15)·(10 - h)) = π/2

10 - h = (π/2) × (15/π) = 7.5

h = 10 - 7.5 = 2.5

h = 2.5

The minimum value of a sinusoidal function, having a centerline of which is on the x-axis, and which has an amplitude, A, is -A

Therefore, the minimum value of the motion of the turbine blades before, the vertical shift = -A = -7

The given minimum value = 2

The vertical shift, k = 2 - (-7) = 9

Therefore, k = 9

Therefore;

The equation of the sinusoidal function is 7 × sin((π/15)·(x - 2.5)) + 9

More can be learned about sinusoidal functions on Brainly here;

brainly.com/question/14850029

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3 years ago

Referees of high school soccer games will end a game at half time if a team is ahead or behind by at least 8 goals. During the d

slavikrds [6]

If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.

If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:

$11-g \geq 8\\g \leq 11-8\\g \leq 3$

However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.

So, the inequality is:

$g \leq 3$ and $g \geq 0$

$0 \leq g \leq 3$

The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.

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3 years ago

Write an exponential function whose graph passes through the points (0,-2) and (2,-50)

solniwko [45]

Answer:

first sub in (0,-2) to get

-2 = ab^0, but b^0 = 1

so a=-2

so far we have

y = -2b^x

now use the other point (2,-50)

-50 = -2(b^2)

b^2 = 25

b= ±5

however in exponentional equations the base is usually positve, so now you have

y = -2(5^x)

sub in x=-2 and you got it.

Step-by-step explanation:

hope it helps..

8 0

3 years ago

Suppose the population of a certain city is 5289 thousand. It is expected to decrease to 4530 thousand in 50 years. Find the per

Tcecarenko [31]

Answer:

14.4% decrease

Step-by-step explanation:

Here is the formula for finding the percentage of decrease:

(starting value - final value) / starting value * 100.

So for your question,

$\frac{5289-4530}{5289} =.0144\\.0144 * 100 = 14.4\\$ /

There was a 14.4% decrease within 50 years.

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3 years ago

How many variables are in the formula F= n over 4 +37

IceJOKER [234]

Answer:

1 i.e. n

Step-by-step explanation:

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3 years ago

Help anyone can help me do the question,I will mark brainlest.​

Help anyone can help me do the question,I will mark brainlest.