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VladimirAG [237]
3 years ago
13

A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A

.
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

[M⁰L¹T⁰]

Step-by-step explanation:

given expression,

from the expression  x = A sin (2 π f t),

A and f are constants

dimension of A =?  

As the sine factor is dimensionless means that sine function will not have any dimension it is dimensionless.

so, remaining  

x = A sin ()

so, the dimension of x is L  

hence, the dimension of A also will be equal to L i.e [M⁰L¹T⁰]

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Find x.______________a0
velikii [3]

Answer:

x=4

Step-by-step explanation:

Before we find x, we need to set up this triangle a little more. We need to find the triangle's altitude before we can solve for x. We will use the heartbeat method to find the altitude.

Let altitude = y; solve for y:

\frac{2}{y}=\frac{y}{6}

y^2=12

y=\sqrt{12}

y=2\sqrt{3}

Now that we know the altitude, we can use the Pythagorean Theorem to find the hypotenuse (x).

a^2+b^2=c^2

2^2+(2\sqrt{3})^2=c^2

4+12=c^2

c^2=16

c=4

Since c and x are the same; c is just the hypotenuse in the Pythagorean Theorem.

x=4

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3 years ago
What is the measurement of m<1
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Check the picture below.

7 0
2 years ago
Find a101 of the sequence 5,8,11,
guajiro [1.7K]

Answer:

305

Step-by-step explanation:

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5+3 =8

8+3 = 11

then

101 = 100 + 1

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3 0
3 years ago
Every autumn, the North American Monarch
Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

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

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

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

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

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3 years ago
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Answer:

The number of candy bars they sell is the independent variable

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