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3 years ago

Help with this Math problem pleas?

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

This a pretty typical right triangle trig problem; the first step is to figure out what we have and what we want in relation to an acute angle in the problem.

Here we have a right triangle, G=90°, and we're given angle F=23°. So we have to name everything in relation to F.

31 = FG is <em>adjacent </em>to F.

x = GE is <em>opposite </em>to F.

OK, we have an opposite and adjacent; that tells us we need to use the tangent of F. Let's write it:

tan 23° = tan F = opp/adj = x/31

Solving,

x = 31 tan 23°

I hate the calculator part. I used to love that part.

x = 31 tan 23° ≈ 13.16 feet

Answer: 4) x ≈ 13.2 ft

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The equations of three lines are given below. Line 1: y = - 3/4 x + 3 Line 2/8 x - 6y = 2 Line 3/- 3y = 4x + 7 For each pair of

Maru [420]

Answer:

No parallel lines

Lines 1 and 3 are perpendicular

Step-by-step explanation:

Given:

$Line\ 1:y = -\frac{3}{4}x + 3$

$Line\ 2: \frac{2}{8}x -6y = 2$

$Line\ 3: 3y = 4x + 7$

Required

Determine if they are parallel, perpendicular or not

The slope intercept of a line has the form:

$y = mx + b$

Where

$m = slope$

First, we calculate the slope of each lines

$Line\ 1:y = -\frac{3}{4}x + 3$

Compare the above to $y = mx + b$

$m_1 = -\frac{3}{4}$

$Line\ 2: \frac{2}{8}x -6y = 2$

$\frac{2}{8}x -6y = 2$

Make -6y the subject

$-6y = 2 - \frac{2}{8}x$

Divide through by -6

$y = -\frac{2}{6} + \frac{2}{8*6}x$

$y = -\frac{1}{3} + \frac{1}{8*3}x$

$y = -\frac{1}{3} + \frac{1}{24}x$

$y = \frac{1}{24}x-\frac{1}{3}$

Compare the above to $y = mx + b$

$m_2 = \frac{1}{24}$

$Line\ 3: 3y = 4x + 7$

$3y = 4x + 7$

Divide through by 3

$y = \frac{4}{3}x + \frac{7}{3}$

Compare the above to $y = mx + b$

$m_3 = \frac{4}{3}$

So, we have:

$m_1 = -\frac{3}{4}$

$m_2 = \frac{1}{24}$

$m_3 = \frac{4}{3}$

None of the slopes are the same, so none of the lines are parallel.

However, lines 1 and 3 are perpendicular.

This is shown below

When the slope of two lines satisfy the following condition, then they are perpendicular.

$m_1 = -\frac{1}{m_3}$

This gives:

$-\frac{3}{4} = -\frac{1}{4/3}$

$-\frac{3}{4} = -1/\frac{4}{3}$

Convert / to *

$-\frac{3}{4} = -1*\frac{3}{4}$

$-\frac{3}{4} = -\frac{3}{4}$

3 0

3 years ago

What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?

Nimfa-mama [501]

First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.

6 0

3 years ago

Find the missing side using the pythagorean theorem

____ [38]

Answer:

26.55

Step-by-step explanation:

$a^2 + b^2 = c^2\\b^2 = c^2 - a^2$