By solving the given equation of inequality "
", we get "
". A complete solution is below.
The given inequality equation is:
By subtracting "5" from both sides of the above equation, we get
→ 
→ 
By applying cross-multiplication, we get
→ 
→ 
Thus the answer above is the right one.
Learn more about inequality equation here:
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Answer:
m∠1 = 52°
m∠3 = 52°
Step-by-step explanation:
Step 1:
Since b is a straight line and is transversed by line m and we are given m∠6 = 128°, we can find m∠5, which is 180 - m∠6, giving us 52° for ∠5.
Step 2:
Because a and b are parallel, m∠5 and the m∠1 are the same, so we have m∠1 = 52° as one of our answers needed
Step 3: Because ∠3 is vertical to ∠1, we can use the vertical angles theory and say that m∠1 is equal to m∠3. Therefore, m∠3 = 52°
He should need 45 more gallons. 60/4=15 15gallons for every 1/4 of the tank. 60-15=45
Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:

This implies that;

If


in the first quadrant

in the second quadrant.
If


in the third quadrant

To integrate, let's first clean out the inside, and simplify:

We can now safely substitute the value of u:


Now, we can write that:

This is much easier to integrate:
![16\int{u^4} \ du = 16[\frac{1}{5}u^5] + C](https://tex.z-dn.net/?f=16%5Cint%7Bu%5E4%7D%20%5C%20du%20%3D%2016%5B%5Cfrac%7B1%7D%7B5%7Du%5E5%5D%20%2B%20C)
Simplify:

Replace u (final answer):

Hope I could help with your integration.