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andreev551 [17]
2 years ago
11

5ry-c=q solve for r​

Mathematics
1 answer:
Olegator [25]2 years ago
8 0

Answer:

R= q+c over 5y

Step-by-step explanation: Good luck sweetie!!

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A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is
Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

\Delta s = s_2-s_1

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

\Delta x = x_2-x_1

So we can use the given points P1:(x_1,y_2)  \text{  and  } P_2: (x_2,y_2) on the displacement formula

\Delta x = 15-4\\\Delta x = 11

In the same manner we can look at the y components of those points to find the vertical displacement

\Delta y = 17-8\\\Delta y =9

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

\tan(\theta) = \cfrac{\Delta y}{\Delta x}

Solving for the angle we get

\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)

Replacing values

\theta = \tan^{-1}\left(\cfrac{9}{11}\right)

Which give us

\theta = 39.3^\circ

So the projection angle is 39.3 degrees.

7 0
3 years ago
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than
Fofino [41]

Let the number of pages read on day 1 be = x

Then on day 2 he read twice the pages from day one, it is = 2x

On 3rd day he read 6 pages less than 1st day, it is = x-6

Total pages are = 458

The equation becomes: x+2x+x-6=458

4x-6=458

4x=464

x=116

So on the third day, Aiden read x-6=116-6=110 pages.

5 0
3 years ago
What is the length of the hypotenuse in a right triangle with legs of length 7 and 24?
Fiesta28 [93]
A² + b² = c²   a and b are the legs and c is the hypotenuse.

7² + 24² = c²

49 + 576 = c²

625 = c²

√625 = √c²

25 = c

hope that helps, God bless!

4 0
2 years ago
Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

30.2 million / 0.122 = 247.54 million total population. (Round answer as needed)

8 0
3 years ago
Which line has the same slope as the line passing through (- 4, -1) and (-1, 8)
Troyanec [42]

The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;

The line has the equation: y - 8 = 3( x + 1);

y - 8 = 3x + 3;

y = 3x + 11.

7 0
3 years ago
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