All categories

3 years ago

Does the following argument illustrate the Law of Syllogism?

1 answer:

dsp733 years ago

8 0

The Law of Syllogism states that if A equals B, and B equals C, then A must equal C. In this example, if the sun is shining (A) then it is a beautiful day (B). If it is a beautiful day (B) then we will go for a bike ride (C). Thus, if the sun is shining (A) then we will go for a bike ride (C).

You might be interested in

write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

EastWind [94]

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

Answer: $\textsf{y = -1/4x - 4}$

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

Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-5) = -1/4(x - 4)}$

Simplify and solve for y

$\textsf{y + 5 = -1/4(x - 4)}$

$\textsf{y + 5 = -1/4x + 1}$

$\textsf{y + 5 - 5 = -1/4x + 1 - 5}$

$\textsf{y = -1/4x - 4}$

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0

2 years ago

What’s the correct answer for this question?

crimeas [40]

ANSWER

EXPLANATION

The given line has slope,

and

We can find the equation in the point slope form, which is given by,

We substitute the point and slope to get,

We can also simplify further to get,

We make y the subject to get,

This is called the slope intercept form.

We could also write in standard form to get

5 0

3 years ago

Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter

hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π. We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29. And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0

3 years ago

19. Find the value of: 4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°

Julli [10]

9514 1404 393

Answer:

107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

= 4/9 +3/4 -9/4 +9 -2

= 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

7 0

3 years ago

Write the solutions for the equation 3x+y=180°

Nadusha1986 [10]

180/3x then you get you answer

4 0

3 years ago

Read 2 more answers