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3 years ago

Complete the fraction that is equivalent to . = ¯¯¯¯¯ 24

Mathematics

1 answer:

wariber [46]3 years ago

4 0

Answer:

24 is equivalent to 24/1

Step-by-step explanation: Hope this helped you feel free to ask questions in comments.

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PLEASE HELP AS FAST AS POSSIBLE

EleoNora [17]

Answer:

Step-by-step explanation:

The order goes as follows:

Lower Extreme, Lower Quartile, Median, Higher Quartile, Higher Extreme

The Higher Extreme is the highest quantity.

I am joyous to assist you anytime.

5 0

3 years ago

Terry ran around a circular track . if the radius of the track is 200 feet how far did tarry run

worty [1.4K]

The Circumference would be 1256.637 and the diameter would be 400

5 0

3 years ago

Find the values of a, b and c.

shusha [124]

C= 45
All interior angles of a triangle add to 180. 90+45=135. 180-35=45

a= 45
The top angle of the triangle and a make 90 degrees together. 90-45=45

b= 135
Angle a and b together make 180 (they are supplementary). 180-45=135

5 0

3 years ago

For what values of θ is sinθ < cosθ when 0 ≤ θ < π ?

zysi [14]

<h3>Answer: $0 \le \theta < \frac{\pi}{4}$ </h3>

=========================================================

How to get this answer:

Use the unit circle to note that $\sin\theta = \cos\theta = \frac{\sqrt{2}}{2}$ when $\theta = \frac{\pi}{4}$ (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point $\left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)$

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Here's a more detailed picture of whats going on.

$\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\$

Intersect the intervals $0 \le \theta < \pi$ and $\theta < \frac{\pi}{4}$ and you'll end up with the final answer $0 \le \theta < \frac{\pi}{4}$

4 0

3 years ago

Write an equation for the line perpendicular to 2x−3y = 5 and containing (−2, 1).

Nostrana [21]

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(2/3) = -1......( perpendicular to a line : 2x-3y =7 with a slope of 2/3 because : y = (2/3)x-7/3)
a = -3/2 y=(-3/2)x+b
the line that passes through (-2, 1) : 1 = (-3/2)(-2)+b
b = -2
<span> the equation is : y = (-3/2)x-2</span></span>

8 0

3 years ago