Answer:
d. 
Step-by-step explanation:
The given trigonometric equation is;
Recall that;
The cosine function is negative in the second and third quadrant.
Answer:
5/9
Step-by-step explanation:
Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.
To make this easier, let's substitute a different number for 5/6. We'll say 2.
If he has completed TWICE the length of the race, how would you determine how far he ran?
You would multiply 2/3 by 2! This same principle can be applied to the problem.
To determine the total distance run in miles, we can write it as 2/3 * 5/6
(NOTE that * is known as "times" or "multiplied by")
With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!
But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.
Hope this helped!
Answer:
Step-by-step explanation:
From the question,
Base on the properties of a parallelogram, KL //JM and JK //ML
So, we can say that, <MLO alternates with <KJO and <KLO alternates with <MJO
Since alternative angles are equal,
In addition
Therefore, m<KJM=
Range in a distribution is the difference between the smallest and the largest value in a distribution. Interquartile range is the difference between the upper quartile and the lower quartile in a distribution.
In an ungrouped data , the first step is to arrange the values in ascending order;
40,41,41,42,43,43,44,44,45,45
The lower quartile is 41 while the upper quartile is 44
Thus the interquartile range is 3 (44-41)
The rearranged expression will be equal to y = (-5/4)x + 2.
<h3>What is an expression?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
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Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be rearranged as below:-
−5x−4y=−8
Solve the above expression for the value of y and the x variable will become independent.
−5x−4y=−8
Take -5x to the right side of the equation.
-4y = 5x - 8
Divide the equation by -4.
y = ( -5 / 4 )x + 2
Therefore, the rearranged expression will be equal to y = (-5/4)x + 2.
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