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Nuetrik [128]
2 years ago
11

A force of 500.0 is represented graphically with its tail at the origin and the tip pointed in a direction 30.0° above the posit

ive x-axis. What are the x- and y-components of the vector?
Mathematics
1 answer:
trapecia [35]2 years ago
3 0

Answer:

F^{'}=(250\sqrt{3},250 })

Step-by-step explanation:

We have F´ =500 and \alpha=30º, so x and y components:

F´ = (F_{x} , F_{y}) this is

F_{x} = F^{'} *Cos\alpha

F_{y} = F^{'} *Sin\alpha  

F_{x} = F`*Cos\alpha =500*Cos30=500*\frac{\sqrt{3} }{2} =250\sqrt{3}

F_{y}=F*Sin\alpha  =500*Sin30=500*\frac{1}{2}=250;

Finally

F' = (250\sqrt{3} , 250)

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Rama09 [41]
<span>This is a simple subtraction question. To find the answer, you simple need to subtract 15 from 104. This equals 89, so there were 89 4th graders at school that day in total. In the instance you're unsure that a subtraction equation is right, you can also add your answers back together to double check, so 89 + 15 = 104.</span>
8 0
2 years ago
What is the pressure difference Δp=pinside−poutside? Use 1.28 kg/m3 for the density of air. Treat the air as an ideal fluid obey
Sidana [21]

This is an incomplete question, here is a complete question.

A hurricane wind blows across a 7.00 m × 12.0 m flat roof at a speed of 150 km/h.

What is the pressure difference Δp = p(inside)-p(outside)? Use 1.28 kg/m³ for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.

Answer : The pressure difference will be, 1.11\times 10^3Pa

Step-by-step explanation :

As we are given:

Speed = 150 km/h = 41.66 m/s

Density = \rho=1.28kg/m^3

Area = A = 7.00 m × 12.0 m

Formula used :

\Delta P=\frac{1}{2}\times \rho \times v^2

Now put all the given values in this formula, we get:

\Delta P=\frac{1}{2}\times (1.28kg/m^3)\times (41.66m/s)^2

\Delta P=1.11\times 10^3Pa

Thus, the pressure difference will be, 1.11\times 10^3Pa

7 0
2 years ago
A botanist collected one leaf at random from each of 10 randomly selected mature maple trees of the same species. The mean and t
Zarrin [17]

Answer:

One sample t-test for population mean would be the most appropriate method.

Step-by-step explanation:

Following is the data which botanist collected and can use:

  • Sample mean
  • Sample Standard Deviation
  • Sample size (Which is 10)
  • Distribution is normal

We have to find the best approach to construct the confidence interval for one-sample population mean. Two tests are used for constructing the confidence interval for one-sample population mean. These are:

  • One-sample z test for population mean
  • One-sample t test for population mean

One sample z test is used when the distribution is normal and the population standard deviation is known to us. One sample t test is used when the distribution is normal, population standard deviation is unknown and sample standard deviation is known.

Considering the data botanist collected, One-sample t test would be the most appropriate method as we have all the required data for this test. Using any other test will result in flawed intervals and hence flawed conclusions.

Therefore, One-sample t-test for population mean would be the most appropriate method.

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2 years ago
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<span>hyperbolic geometry was what he used</span>
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1 year ago
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Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t
Assoli18 [71]

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

3 0
1 year ago
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