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1 year ago

Solve for x. round to the nearest tenth

Mathematics

1 answer:

pogonyaev1 year ago

3 0

Answer:

43.1

Step-by-step explanation:

We can figure this out by using a bit of simple trigonometry

Using the available values we know we have to figure out x using cos because it includes the adjacent and hypotenuse values.

"Soh Cah Toa"

Cos(x) = Adjacent / Hypotenuse

Cos(x) = 8/11

Cos(x) = 0.73

Using $cos^{-1}$ we can figure out x from the side length

x = $cos^{-1}$ (0.73)

x = 43.1 degrees (rounded)

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Step-by-step explanation:

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Math

The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?

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Expert Answers info

JEEW-M | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

----(1)

----(2)

From (1) we can say

Then substituting to (2) gives;

Then;

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2 years ago

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

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

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

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9 months ago

Solve for x. round to the nearest tenth​

Solve for x. round to the nearest tenth