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telo118 [61]
3 years ago
14

What is the value of x? enter your answer as a decimal to the nearest tenth in the box

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

For this case we have to define trigonometric relationships in rectangular triangles that:

The sine of an angle is given by the opposite leg to that angle on the hypotenuse of the triangle.

Then, according to the figure shown we have to:

Sin (47) = \frac {x} {18}

So, clearing the value of "x" we have:

x = Sin (47) * 18\\x = 0.7314 * 18\\x = 13.16

We round and we have the value of "x" is: 13.2 \ ft

Answer:

13.2 \ ft

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Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

5 0
2 years ago
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Convert 5 feet to inches .There are 12inches in 1 foot
Andreyy89

Answer:

60 inches

Step-by-step explanation:

4 0
3 years ago
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HELP ASAP
iris [78.8K]

Answer:

177

Step-by-step explanation:

just answered this for someone else but the number of sit-ups is going up in 4s so just add four to 33 7 times since thats how many days she has left til 12th day

8 0
2 years ago
What 2 numbers add up to 1 and multiply to -12
Vinil7 [7]
-3 and 4......................
7 0
3 years ago
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What is the slope of a line that is perpendicular to a line whose slope is -1/3.
solniwko [45]

Answer:

3

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

6 0
3 years ago
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