If we are given a triangle JKL and we assume that this is a right triangle, we can find the measure of the angle LJK by using formulas derived from the Pythagorean Theorem.If opposite side = 10 hypotenuse = 15then, we can use: cos (x) = opposite / hypotenusesin (x) = 10 / 15
Answer:
(0, infinity)
Step-by-step explanation:
Keep in mind that the input to the ln function can never be 0 or below. The coefficient 3 has no effect on the domain. The domain of the function shown is (0, infinity).
Answer: 7/4 is greater
Step-by-step explanation: If you divide 7 by 4 you get 1.75. Then you divide 5 by 4 and you get 1.25. 1.75 is greater than 1.25. Also, if they have the same denominator, whichever has a higher numerator would be greater.
Answer:
Step-by-step explanation:
Given that fish length X is having the normal distribution for which the mean is 9 inches and the standard deviation is 2 inches.
X : N(9,2)
A) 
B) Here sample size = 300
Out of 300 fish we can expect 300(0.3085) to be shorter
i.e. 92.55=93 fish
Let <em>x</em> and <em>y</em> be the two numbers.
Their sum is 140, so
<em>x</em> + <em>y</em> = 140
Twice the first number <em>x</em> is 2<em>x</em>. 5 more than this is 2<em>x</em> + 5. This is the value of the second number, so
<em>y</em> = 2<em>x</em> + 5
Substitute this into the first equation and solve for <em>x</em> :
<em>x</em> + (2<em>x</em> + 5) = 140
3<em>x</em> + 5 = 140
3<em>x</em> = 135
<em>x</em> = 135/3 = 45
Then
<em>y</em> = 2*45 + 5 = 95
