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PilotLPTM [1.2K]
2 years ago
6

Which decimal is equivalent to forty and seventy six thousands ? a.40.076 b 40.76 C 47.006 D 47.06​

Mathematics
1 answer:
krek1111 [17]2 years ago
7 0

Answer:

A. 40.076

Step-by-step explanation:

Because B is forty and seventy six hundredths. C is forty-seven and six thousandths. D is forty-seven and six hundredths.

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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
Find the range of the data. .
AlekseyPX

Answer: 4

Step-by-step explanation: Range is the difference between the highest and lowest number, so since 5 is the highest and 1 is the lowest you subtract 1 from 5 to get your answer: 4.

7 0
2 years ago
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I'm confused- how do I form the equation with 2 pts?
klio [65]

Answer:

the equation of the line is   y = -3x - 6

Step-by-step explanation:

Note that since (0, -6) is the y-intercept, we can write the slope-intercept equation of the line as y = mx - 6.  The other given point is (-2, 0) (which happens to be the x-intercept also).  Starting with y = mx - 6, replace y with 0 and x with -2:  

0 = m(-2) - 6.  We now solve this for the slope, m:  0 = -2m - 6 becomes

2m = -6, or m = -3.

With m = -3 and b = -6, the equation of the line is   y = -3x - 6

4 0
3 years ago
PLEASE HELP I GIVE 29 POINTS TO WHOEVER GETS THIS RIGHT
-Dominant- [34]

Direction: Isolate the variable by dividing each side by factors that don't contain the variable.

Here are the answers for all 15 questions:

1)  x < - 2

2) x < 4

3) x > - 15/7

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5) x > 6

6) y > - 10/9

7) 0 < 333

8) x > 2

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10) y > - 3

11) y > - 4

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13) x < 9/8

14) x > - 2

15) h < 7/2

4 0
2 years ago
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marishachu [46]
Your answer is (a) because 4 times 2 is 8 but since it's negative 2 it's negative 8

5 0
3 years ago
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