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2 years ago

Application of Trigonometric Ratios:

Mathematics

1 answer:

Katena32 [7]2 years ago

3 0

9514 1404 393

Explanation:

Graphs of sine and cosine functions are readily available in your text, on the web, and in your graphing calculator or spreadsheet. A graph is also attached here.

The sine and cosine graphs are identical, except that the cosine function is shifted left 1/4 cycle relative to the sine function. Both parent functions have a peak value of 1, and a period of 2π. The sine function is symmetrical about the origin (an odd function), and the cosine function is symmetrical about the y-axis (an even function).

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Gabriel divides 64 grapes among his 15 friends. How many grapes does Gabriel give each friend?

kirza4 [7]

each friend would get 4 grapes, there will be some loftover at the end

8 0

3 years ago

Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the

Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are $4r+\frac{1}{2}s=12$ and $2r+\frac{1}{4} s=8$

To find the two numbers, let us solve the equations using substitution method.

From the equation $2r+\frac{1}{4} s=8$ , let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in $4r+\frac{1}{2}s=12$ , we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0

3 years ago

Please help me with this question fast.

Sergeeva-Olga [200]

C since the value of the original changed by moving 2 units to the left, thus x-2 and y+5 since it moved 5 up

4 0

3 years ago

Faiza, Krish and Joe start cycling around the park from the same point at the same time. Faiza circles the park in 60 seconds, K

pishuonlain [190]

Answer:

The time at which they will all meet at a place together is 350 minutes

Step-by-step explanation:

The time it takes Faiza to cycle the park = 60 seconds

The time it takes Krish to cycle the park = 14 seconds

The time it takes Joe to cycle the park = 25 seconds

Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;

LCM = 60 × 14 × 25 = 21,000 seconds

Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes

7 0

3 years ago

a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for

monitta

The equation of the location of the second street in standard form is

x + y = -6

Equation of the line:

The equation of the line represents the algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line can be formed with the help of the slope of the line and a point on the line.

The general form of the equation of a line with a slope m and passing through the point (x₁,y₁) is given as:

y = mx + b.

Where

m represents the slope of the line.

Given,

Point = ( -5 , -1)

Here we need to find the equation of the location.

For that, first we have to find the slope of the line,

Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.

The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.

So, in street 1 the equation is

=> y =-x +1

And street 2 the equation is

=> y =-x +b,

solve for b by plugging in (-5,-1)

=> -1 =-(-5) +b

=> b= -1-5 = -6

=> b = -6

Now apply the value of b on the equation,

Then

=> y = -x -6

=> y + x = -6

So, the equation of the location is x + y = -6.

To know more about Equation of the line here.

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1 year ago