Answer:
D
Step-by-step explanation:
Let i = sqrt(-1) which is the conventional notation to set up an imaginary number
The idea is to break up the radicand, aka stuff under the square root, to simplify
sqrt(-8) = sqrt(-1*4*2)
sqrt(-8) = sqrt(-1)*sqrt(4)*sqrt(2)
sqrt(-8) = i*2*sqrt(2)
sqrt(-8) = 2i*sqrt(2)
<h3>Answer is choice A</h3>
Using a system of linear equations, the distance between points A and B is 6000 cm
Time taken = Distance / speed
Let ; distance = d
<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
- <u>t</u> = d / 4
- <em>4t = d ______(1)</em>
<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : brainly.com/question/14000187
Answer:
50
Step-by-step explanation:
Use this equation
![\frac{b - a}{2} = angle \: yuv](https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%20-%20a%7D%7B2%7D%20%20%3D%20angle%20%5C%3A%20yuv)
where b is arc VY, A is arc XV.
Substitute the equation in
![\frac{132 - a}{2} = 41](https://tex.z-dn.net/?f=%20%5Cfrac%7B132%20-%20a%7D%7B2%7D%20%20%3D%2041)
![132 - a = 82](https://tex.z-dn.net/?f=132%20-%20a%20%3D%2082)
![- a = - 50](https://tex.z-dn.net/?f=%20-%20a%20%3D%20%20-%2050)
![a = 50](https://tex.z-dn.net/?f=a%20%3D%2050)
so our arc measure is 50