Help me please! I can't figure this out

Mathematics

1 answer:

Alina [70]4 years ago

7 0

First we need to look at the greatest and least points on each axis.

For x - the greatest is 2 and the least is -2 (that is the value of x for the points marked in the top left and right quadrants of the xy axis.

(Note that the points on the number line have a value for x of 1 & -1, but you need to look at highest value of points in all quadrants.)

For y - the greatest would be 3 and the least 0. Looking up and down the Y axis, you can see these intersections for the points given.

Now you need to find the D & R that is suitable for these values. We can only consider the first and last option because it correctly shows that the values for x & 7 must be between 2 & -2 and 0 and 3, The first one is incorrect because they have the D & R reversed. It is x that must be between 2 & -2 and y that must be between 0 & 3.

I hope you found this helpful.

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A helicopter hovers 500 m above a long straight road. There is a truck to the left and right of the helicopter. The angles of de

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1045.01 rounded to the nearest hundredth

Step-by-step explanation:

First, we can draw this out. The angle of depression is the angle formed by the object at the top and the line formed by the object at the top and the object at the bottom.

If the truck on the left is truck A and the truck on the right is truck B, with the helicopter being the circle on top, there is one 60 degree angle of depression and one 20 degree one. If we make a point at the point in the road the helicopter is straight above, and we connect the points, we can form two right triangles, as shown. If we can calculate the lengths of sides x and y, we can add them up to find the length between the two trucks.

Starting with side x, we know one angle and the side length adjacent to that angle. We want to find the length opposite that angle. One formula that encompasses this is tan(θ) = opposite/adjacent. Therefore, tan(60) = x/500

tan(60) = x/500

multiply both sides by 500 to isolate the x

tan(60) * 500 = x

x = 866.0254

Similarly, with side y, we can say that tan(20) = y/500 and

tan(20) * 500 = y

y= 181.9851

The distance between the two trucks can be shown as x+y, so x+y= 1045.01 rounded to the nearest hundredth