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pshichka [43]
2 years ago
13

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show you

r work

Mathematics
1 answer:
jasenka [17]2 years ago
3 0
<h3>Answer:   x = 19.7  (choice C)</h3>

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

  • opposite = vertical leg = 8
  • adjacent = horizontal leg = unknown
  • hypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

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Does x equal if the problem is negative x -4x - 7 equals 5 negative 2X
Sphinxa [80]

Answer:

X = - 4

Step-by-step explanation:

Given in problem

- x -4x - 7 = 5 -2x

Or, -5x - 7 = 5- 2x

Or, -5x + 2x = 5 + 7

Or, -3x = 12

Or, x = - \frac{12}{3}

∴ X = - 4    Answer

6 0
3 years ago
‼️‼️‼️‼️HELP‼️‼️‼️‼️‼️‼️‼️
Vesnalui [34]

Michael took the return trip at a velocity 33.75 miles per hour.

<h3>How fast did Michael drive in his return trip?</h3>

Let suppose that Michael drove in <em>straight line</em> road and at <em>constant</em> velocity. Therefore, the speed of the vehicle (v), in miles per hour, can be defined as distance traveled by the vehicle (d), in miles, divided by travel time (t), in hours.

First trip

45 = s / 3     (1)

Second trip

v = s / 4       (2)

By (1) and (2):

45 · 3 = 4 · v

v = 33.75 mi / h

Michael took the return trip at a velocity 33.75 miles per hour.

To learn more on velocities: brainly.com/question/18084516

#SPJ1

3 0
2 years ago
annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to mod
elixir [45]

Answer:

  • S(t) = 149999(1.06)^t
  • $225543

Step-by-step explanation:

  • Initial value is $149999
  • Increase rate is 6% per year = 1.06 times

<u>The model of the growth is:</u>

  • S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year

<u>Annual sales after 7 years:</u>

  • S(7) = 149999(1.06)^7 = $225543
4 0
3 years ago
I NEED HELP!!!!!In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
rusak2 [61]

The given functions are

f(x)=3.5^x

h(x)=1.5^x

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

g(x)=\pi ^x

Option D) is the right answer

5 0
3 years ago
Help! Please. I don’t know what to do. I got this wrong. Thanks.
strojnjashka [21]

Answer: I believe the answer would be 1/9 ?

7 0
3 years ago
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