Answer:O_O
Step-by-step explanation:
Based on the right angle triangle and the given parameters, cos K = 5/13
<h3>Trigonometric ratios</h3>
- sin = opposite / hypotenuse
- cos = adjacent / hypotenuse
- Tan = opposite / adjacent
Given parameters:
- Hypotenuse = 13
- Adjacent = 5
- Opposite = 12
Therefore,
cos K = adjacent / hypotenuse
cos K = 5/13
Learn more about right triangle:
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Answer:
Proved
Step-by-step explanation:
Given




Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
<u></u>
<u>Taking BU and GS as a pair</u>
First, we calculate the slope using:

For BU
--- 
--- 
So, we have:



For GS
--- 
--- 
So, we have:



<em>The slope of BU and GS are not the same; hence, they are not parallel.</em>
<u>Taking BS and GU as a pair</u>
Calculate the slope
For BS
--- 
--- 
So, we have:



For GU
--- 
--- 
So, we have:



The slope of BS and GU are the same; hence, they are parallel.
<em>BUGS is a trapezoid because BS and GU have the same slope</em>
Answer:
See the attached figure.
Given:
u = (-3.5 , -1.5) and v = (-1.25 , 2.25)
So,
2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)
∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)
The graph of the vectors is as shown in the attached figure.
Hi!
<h3>Let's solve this using PEMDAS.</h3><h3>Parentheses - Addition</h3>
4 * 32 ÷ (4 - 3)
<h3>Parentheses - Subtraction</h3>
4 * 32 ÷ 1
<h3>Multiplication</h3>
128 ÷ 1
<h3>Division</h3>
<u>128</u>
<h2>The answer is 128.</h2>
Hope this helps! :)
-Peredhel