The length of one leg of the right triangle is 5√10
<h3>How to find the leg of a right triangle?</h3>
The leg of a right triangle can be found as follows;
Therefore, using trigonometric ratios,
sin 45 = opposite / hypotenuse
sin 45 = x / 10√5
1 / √2 = x / 10√5
cross multiply
10√5 = x√2
divide both sides by √2
x = 10√5 / √2
x = 10√5 / √2 × √2 / √2
x = 10√10 / 2 = 5√10
learn more on right triangle here: brainly.com/question/3398476
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Answer:
B) {x| x<-12 or x>-6}
Step-by-step explanation:
-2/3x>8
change -2/3 as -3/2 and multiply both sides by -3/2x
-2/3x•(-2/3)x<-3/2•8
calculate
reduce
x<-3•4
multiply numbers
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x<-12
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now we're done with the first equation, let's do the other equation to find the answer!
-2/3x<4
multiply both sides by -3/2 and again change -2/3 by -3/2
-3/2•(-2/3)x>-3/2•4
calculate
reduce
x>-3•2
multiply numbers
----------
x>-6
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Answer:
Step-by-step explanation:
The slope of all lines in quadrant 1 is positive. FALSE
The slope of a line does not depend on the quadrant.
The slope of <u>all lines</u> that pass through the origin is undefined.FALSE
The slope of some lines that pass trough the origin are undefined ( lines that are vertical have undefined slope)
The larger the slope, the longer the line.FALSE
The lines do not get longer or shorter because they go to infinity in both directions.
The larger the magnitude of the slope value, the steeper the line. TRUE
The larger the absolute value of the slope the steeper the slope.
Answer:
7, 12, 17...172 (34th term)
Step-by-step explanation:
