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skelet666 [1.2K]
3 years ago
9

The hypotenuse in this triangle is equal toA. 90 degreesB. 15C. 12D. 9​

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
Hypotenuse is always side opposite of the right angle. The hypotenuse of this triangle is 15

Answer: b. 15
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(-4/9)(-5/8) multiply
Setler79 [48]
Multiply numerators:
-4*-5=20

Multiply denominators:
9*8=72

20/72= 10/36
10/36= 5/18

Final answer: 5/18
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Answer:

1. D) -4/3 or 4/3

2. A) -6 or 8

Step-by-step explanation:

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Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
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Murrr4er [49]

The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

<h3>How to derive equations for periodical changes in time</h3>

According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B)     (1)

Where:

  • a - Initial position, in meters.
  • A - Amplitude, in meters.
  • t - Time, in hours or seconds.
  • T - Period, in hours or seconds.
  • B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

To learn more on sinusoidal models: brainly.com/question/12060967

#SPJ1

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