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3 years ago

Find the measure of the angle

Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

answer is 90° - 80° = 10° because each quartile equals 90°

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One mile equals 5,280 feet, therefore you would multiply 12 x 5,280 which is 63360 feet per hour.

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3 years ago

What is the equation of the line

konstantin123 [22]

Hello there!

The answer is B. $\frac{2}{7}$
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Explanation and Work:

We first must identify if the line goes through the origin or not.

The origin is (0, 0)

The line does go through the origin. This means that there is no y-intercept

The specific equation we would you use would be:

y = kx

K is the constant

We find this by finding the slope.

Slope is found by:

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

y2 = 2

y1 = 0

x2 = 7

x1 = 0

Now, let's plug in these numbers.

$\frac{2-0}{7-0} = \frac{2}{7}$

So, now let's plug he slope into our formula.

y = $\frac{2}{7} x$

So, our answer would be B.

I hope I helped!

Let me know if you need anything else!

~ Zoe

8 0

3 years ago

The angle between the complex numbers 2+2i and -7

anygoal [31]

Answer:Consider the right triangle formed by the complex number in the Argand-Gauss plane and it's projections on the axis. – José Siqueira Nov 12 '13 at 17:21

In particular what is the definition of sine of theta in terms of the known sides of the above mentioned right triangle? – Adam Nov 12 '13 at 17:27

Add a comment

3 Answers

Consider the following Argand-diagram

enter image description here

The y-axis is the imaginary axis and the x-axis is the real one. The complex number in question is

x+yi

To figure out θ, consider the right-triangle formed by the two-coordinates on the plane (illustrated in red). Let θ be the angle formed with the real axis.

tanθ=yx

⟹tan−1(yx)

The hypotenuse of the triangle will be

x2+y2−−−−−−√

Therefore,

Step-by-step explanation:

5 0

3 years ago

Find the slope of the given line, if it is defined.

il63 [147K]

Answer: A. The slope is $-\dfrac{4}{3}$ .

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

$\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}$

Hence, the slope is $-\dfrac{4}{3}$ .

8 0

3 years ago

If two numbers round to the same number, does that mean the numbers are equal?

Eduardwww [97]

If two numbers round to the same number it doesnt always mean they are equal, for example: 11 and 9 both round to ten but they are not the same number

3 0

4 years ago

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Find the measure of the angle​

Find the measure of the angle