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jasenka [17]
2 years ago
11

Find the values of x and y using trig

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

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Write an equation in Slope-Intercept Form using the table below. ​
Veseljchak [2.6K]

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

m = \frac{y2 - y1}{x2 - x1}

Plug in the values of the coordinates into the formula:m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

Please mark my answers as the Brainliest if you find my explanations helpful :)

8 0
3 years ago
Please help me! Thank you
Maru [420]

Step-by-step explanation:

5⁰= 1

2–3 means 1/2³

1/8

=0.125

8 0
2 years ago
Find the perimeter. Simplify the answer.
Ugo [173]

Answer: 26t - 8

Step-by-step explanation:

7 0
2 years ago
PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF.
VMariaS [17]

Answer:

1:3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
HELP!!! PLZZ THIS IS SO FRICKIN HARD!
krek1111 [17]

Answer:

14.3%

Step-by-step explanation:

1/7=0.142857142857

round that to the nearest tenth and that is 0.143

make it a percentage and it is 14.3%

8 0
2 years ago
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