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mel-nik [20]
2 years ago
11

Solve the inequality. Graph your solution. m+7 39

Mathematics
1 answer:
kogti [31]2 years ago
8 0

Answer:

40

Step-by-step explanation:

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For the given image and scale factor, which ordered pair is one of the pre-image vertices if the center of the pre-image is also
musickatia [10]

Answer:

(3/5, 1)

Step-by-step explanation:

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What is the volume of a cone with a radius of 18 cm and a height of 10 cm? Use 3.14 for pi. Round your answer to the nearest ten
Sphinxa [80]
Based on the equation for the volume of a cone, the answer is 3,391.2
7 0
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Find the difference. 798300-348659=
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The total sum of <span>798300 - 348659 is 449641</span>
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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
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D? units
maw [93]

Answer:

5 units

Step-by-step explanation;

We can use the formula for finding the length or magnitude of line joining two points.

Length = √((x2-x1)² + (y2-y1)²)

The points joining the line are C (-1,4) and D (2,0)

Length = √((2+1)² + (0-4)²)

            = √((3²) + (-4)²)

            = √ (9+16)

            = √25

            = 5 units

8 0
3 years ago
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