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Mnenie [13.5K]
2 years ago
9

Which symbol correctly compares the two angles? pie/3 30° 3 O A.< O B. = O C. >​

Mathematics
1 answer:
k0ka [10]2 years ago
5 0

Answer:

>

Step-by-step explanation:

π / 3 is in radians.

Radian need to be converted into

degree ( ° ).

The value of in degree is 180°

π / 3 = 180 / 3 = 60°

60° > 30°

So,

( π / 3 ) > 30°

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1

The y-intercept of the line is 1.

3 0
2 years ago
An equation of the circle whose center is the origin and
tankabanditka [31]

Answer:

\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}

Explanation:

A circle whose center is (a, b) and radius r, has equation:

(x - a)^{2} + (y - b)^{2} = r^{2}

The center of circle is  given as origin (0, 0), therefore:

a = 0\\b = 0

This circle passes (3, 0), then the radius of circle is the distance (d) between origin (0, 0) and (3, 0)

d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3

=> r = d = 3

Substitute a, b, and r back into original equation:

(x - 0)^{2} + (y - 0)^{2}  = 3^{2}

or

x^{2} + y^{2} = 9

Hope this helps!

:)

3 0
3 years ago
I need help on this ​
Anna35 [415]

Answer:

Hi ma bruddah

Step-by-step explanation:

Hi - ma - bru/dd/ah

5 0
2 years ago
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A jogger is running home. his distance from home, as a function of time, is modeled by y=-7+8.
Dovator [93]

Answer:

y=1

Step-by-step explanation:

4 0
2 years ago
How did the mongols defeat 75,00 russians if they only has about 25,00 soldiers?
mart [117]

the answer i got was 50,000


if its not right i can try to figure it out again

5 0
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