Answer:
= (√3+4√2)/2√6
Step-by-step explanation:
To evaluate cos45*/sec30*+cosec60*
First according to trigonometry identity
sec 30 = 1/cos30
cosec 60 = 1/sin60
Substitute
cos45*/sec30*+cosec60*
= cos45/(1/cos30) + 1/sin60
= cos45coss30 + 1/sin60
= 1/√2 * √3/2 + 1/(√3/2)
= √3/2√2 + 2/√3
= (√9+4√2)/2√6 +
= (√3+4√2)/2√6
Given that <span>the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
The probability of a normally distributed data between two values (a, b) is given by:
</span>
Answer:
7(100-1)
Step-by-step explanation:
That's it right there
Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!
