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valina [46]
3 years ago
6

Explain a real life situation where you may use trig ratios to find measure in right triangles.

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0
One example is if you wanted to measure the height of a tall building. You'll need to measure the distance from where you're standing to the base of the building. You'll also need the angle of elevation. To get the angle of elevation, start by looking completely horizontal, then tilt upward until your eyeline reaches the top of the building. Once you have those two things (the side and angle) you can use the tangent ratio to find the height. This is because

tan(angle) = opposite/adjacent

where in this case
angle = angle of elevation
opposite = height of building
adjacent = distance from your position to the base of the building

It takes a bit of algebra, but the opposite side can be solved for. You'll most likely need a calculator to compute the tangent ratio.

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Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
After the translation, where is A located?
vovikov84 [41]

Answer:

(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

 (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

 (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

 (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

 A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)

7 0
2 years ago
Kelan shaded 0.5 of the rectangle what fraction equals 0.5
andre [41]
The decimal 0.5<span> represents the </span>fraction<span> 5/10. The decimal 0.25 represents the </span>fraction<span> 25/100. Decimal </span>fractions<span> always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10.</span>
6 0
3 years ago
Read 2 more answers
Which of the following points lies on the line 2x+3y=5
Romashka [77]

Answer:

1,1

Step-by-step explanation:

Basically you enter this equation into a graphing calculator and see which x and y value match and those are your points . Or you can substitute values in for x by isolating y by itself

5 0
3 years ago
What is the volume of the prism above ? ?
julsineya [31]

Answer:

24

Step-by-step explanation:

In order to find the volume of something you would have to multiply the width x the length x the height which is 3x2x4 which equals to 24.

4 0
2 years ago
Read 2 more answers
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