In analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.
<h3>What is the value of sin∠L?</h3>
Given that angle ONM is a right angled triangle, we can find length of OM using the Pythagorean theorem.
c = √( a² + b² )
OM = √( 4² + 3² )
OM = √( 16 + 9 )
OM = √25
OM = 5
Next, angle OML is also a right angled triangle, we can get the hypotenuse LO.
c = √( a² + b² )
LO = √( OM² + ML² )
LO = √( 5² + 12² )
LO = √( 25 + 144 )
LO = √169
LO = 13
Now, to get sin∠L, we use the mnemonic: SOHCAHTOA
sinθ = opposite / hypotenuse
sin∠L = OM / LO
sin∠L = 5/13
Therefore, in analyzing the given diagram which is a combination of two right angle triangle, the value of sin∠L is 5/13.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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Answer:
<h3>The lines are perpendicular</h3>
Step-by-step explanation:
We determine whether lines are parallel or perpendicular by getting their slopes
For line 1; (1, 0), (7, 4)
Slope m = 4-0/7-1
M1 = 4/6
M1 = 2/3
Hence the slope of M1 is 2/3
For Line 2; (7, 0) , (3, 6)
M2 = 6-0/3-7
M2 = 6/-4
M2 = -3/2
Take the product of the slopes
M1 * M2 = 2/3 * -3/2
M1M2 = -1
Since the product of their slope is -1, hence the lines are perpendicular
Answer:
3
Step-by-step explanation:
The middle 50% of the data is represented by the box.
The range is the difference between the upper value and the lower value
upper value = 7 and lower value = 4
Range = 7 - 4 = 3
