Answer:
One Solution
Step-by-step explanation:
x + 3y = 3
x - y = -3
4y = 6 Subtract to solve by elimination.
y =
Divide by 4.
x -
= -3 Substitute
for y in the original equation.
x = -
Add
.
Answer:
D. 135°
Step-by-step explanation:
Time is 1:30
The minute hand traveled half of full circle
The minute hand position is:
The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle
The hour hand position is:
the difference between the hands:
Choice D. 135° is the correct one
The expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
![a^{m/n} = \sqrt[n]{m}](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bm%7D)
Given the indices 
Comparing with the general formula, we will see that:
m = 3
n = 7
a = 
Applying the law of indices:
![(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%283x%5E4y%5E5%29%20%5E%20%7B3%2F7%7D%20%3D%20%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Hence the expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Learn more here: brainly.com/question/6755932
Answer:

Step-by-step explanation:
Given,
Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.
Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,
⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds
= 86164 seconds,
Now, the number of radians in one rotation = 2π,
That is, 86164 seconds = 2π radians

Hence, the number of radians in one second is 