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3 years ago

What represent the relationship between the total mass of a crate

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

9514 1404 393

Answer:

(a) M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

M = 0.25n +100

You might be interested in

Provide an example of a trig function that includes multiple transformations. Describe how it is different from the standard tri

klio [65]

An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below

<h3>How to interpret trigonometric functions in transformations?</h3>

An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3

This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.

Another way to look at it is by;

Let us use the function f(x) = sin x.

Thus, the new function would be written as;

g(x) = sin (x - π/2), and this gives us;

g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x

This will make a graph by shifting the graph of sin x π/2 units to the right side.

Now, shifting the graph of sin xπ/2 units to the left gives;

h(x) = sin (x + π/2/2)

Read more about Trigonometric Functions at; brainly.com/question/4437914

#SPJ1

5 0

1 year ago

The conference table top shown is the shape of two congruent trapezoids. The table top is wooden with a rectangular glass inset.

Papessa [141]

I think it’s 196? base 1 +base 2=28 radius is 7 but we need the whole thing so 7x2=14.
then multiply and then divide by 2 28X14= 392 divided by 2 = 196

7 0

3 years ago

Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.

elena-s [515]

Answer:

sin θ ≈ -0.08667
cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

sin(-0.08678 radians) ≈ -0.08667

cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

$\cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}$

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0

3 years ago

The vertices of a square CDEF are C(1,1), D(3,1), E(3,-1) and F(1,-1). What formulas prove that the diagonals are congruent perp

Oxana [17]

To prove that the diagonals are congruent, you need to formula to compute the distance between two points:

$d(A,B) = \sqrt{(A_x-B_x)^2 + (A_y-B_y)^2}$

Using that formula, you may prove that $d(C,E) = d(D,F)$ , which means that the two diagonals have the same length.

To prove that they are perpendicular, you need the formula to compute the slope of a segment. The slope, knowing the enpoints, is given by

$m = \cfrac{\Delta y}{\Delta x} = \cfrac{A_y-B_y}{A_x-B_x}$

You can use this formula to prove that

$m_{CE} = -\cfrac{1}{m_{DF}}$

In fact, if one slope is the opposite of the reciprocal of the other, the two segments are perpendicular.

Finally, to prove that they bisect each other, you first need to find the point where they meet. First of all, you need to find the line the segments lie on: the formula is

$y-y_0 = m(x-x_0)$

where $(x_0,y_0)$ is one of the points belonging to the line, and you already know how to find the slope. Then, you find the point of intersection, say A, by solving the system involving the two lines:

$\begin{cases} y= m_{CE}x+q_{CE}\\ y = m_{DF}x+q_{DF} \end{cases}$

And use again the formula for the distance between two points to prove that

$d(A,C) = d(A,D) = d(A,E) = d(A,F)$

4 0

3 years ago

I am a solid figure with two congruent polygons that are bases, connected with lateral faces that are rectangle

tino4ka555 [31]

I think it's a rectangle man XD

7 0

3 years ago