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3 years ago

Find Missing Angle

Mathematics

1 answer:

Neporo4naja [7]3 years ago

6 0

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

we are given opposite(27) and hypotenuse(28), so use sin

sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

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Write the equation of a line that is perpendicular to the given line that passes through the given point.

ipn [44]

<h2>Answer:</h2>

First we must find the opposite-reciprocal of the original slope.

current slope: $\frac{7}{3}$

new slope: $-\frac{3}{7}$

Using the new slope and the given point, we will plug them into slope-intercept form and solve for b, the y-intercept.

$9 = -\frac{3}{7}(-4) + b\\\\9 = \frac{12}{7} + b\\\\-\frac{51}{7} = b$

The y-intercept is $-\frac{51}{7}$ .

Now, we can write the formula for the new line.

Slope-intercept form: $y = -\frac{3}{7}x - \frac{51}{7}$

Point-slope form: $y - 9 = -\frac{3}{7}(x + 4)$

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3 years ago

According to astronomers, what is a "light year" answer key

liberstina [14]

A light-year is defined as the distance the light can cover in one year.

The light travels at speed of $c=3 \cdot 10^8 m/s$ , and one year converted into seconds is
$1 y = 365 \frac{d}{y} \cdot 24 \frac{h}{d} \cdot 60 \frac{m}{h} \cdot 60 \frac{s}{m}=3.15 \cdot 10^7 s$

So the distance covered by the light in one year is
$S=vt =(3 \cdot 10^8 m/s)(3.15 \cdot 10^7 s)=9.45 \cdot 10^{15} m$
And this is the distance that corresponds to one light-year.

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3 years ago

What is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)

Brrunno [24]

⊰_________________________________________________________⊱

Answer:

The equation is-: y=3x

Step-by-step explanation:

$\large\displaystyle\text{$\begin{gathered} \sf{Substitute \ the \ values \ into \ the \ formula \ y-y_1=m(x-x_1)} \\ \sf {parallel \ lines \ have \ same \ slopes, \ thus} \\ \sf{slope \ of \ the \ 2nd \ line = 3}\\ \sf{now \ substitute \ the \ values} \\ \sf {y-(-5)=3(x-4)}\\ \sf{y+5=3(x-4) (It's \ Point-Slope\;Form, \ see \ below \ for \ slope-intercept)}\\ \sf {y+5=3x-12} \\ \sf{y=3x-12-5} \\ \sf{y-3x-17} \end{gathered}$}}$

$\pmb{\tt{done \ !!}}$

⊱_________________________________________________________⊰

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2 years ago

Which statement is NOT true about the slope of a straight-line graph?

soldi70 [24.7K]

Answer:

Option D. Slope is 1 if the line is vertical

Step-by-step explanation:

we have

Part A) Slope is a measure of the steepness of the line

The statement is true

Because, the steepness of a line is measured by the absolute value of the slope.

Part B) Slope is the ratio of vertical change to horizontal change

The statement is true

Because the formula to calculate the slope between two points is equal to

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

Is the ratio of vertical change to horizontal change

Part C) Slope is zero if the line is horizontal

The statement is true

Because If the line is horizontal, the y-coordinate of two points is the same

therefore

The vertical change is equal to zero

Part D) Slope is 1 if the line is vertical

The statement is Not true

Because, if the line is vertical the slope is undefined

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gizmo_the_mogwai [7]

The answer is <span>$576.888</span>

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