I've answered your other question as well.
Step-by-step explanation:
Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.
Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3
⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab
Substituting a=sin2(x) and b=cos2(x), we have:
sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)
Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:
sin6(x)+cos6(x)=1−3sin2(x)cos2(x)
From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)
Meaning the expression can be rewritten as:
sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)
Answer:
See possible solutions below.
Step-by-step explanation:
The statements are not given. But the following can be determined from the graph:
- More days recorded temperatures between 82 and 84 then other temperatures.
- The least number of days recorded temperatures between 88 and 90.
- The histogram is skewed to the right also known as positive skewed distribution.
- The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.
Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:
In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:
The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So
The new volume is 375 cubic inches.
<h2>
Hello!</h2>
The answer is: A. 8.75 + 0.50 x ≤ 15.00
<h2>Why?</h2>
By isolating the variable (x), we have:
So, with the result of x ≤ 12.5 , we can know that the most amount of additional toppings Kia got, is 12 toppings.
The inequality is telling us that Kia will spend 15$ or less if she orders 12 toppings or less.
Have a nice day!
Answer:
4.5 Kilograms is the answer :)
Step-by-step explanation:
