6 √3. Short leg is half the hypotenuse is 6 so x = long leg so x= short leg times √3
Answer:
Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1 (-1) / (3/2) = (-2/3)
Step-by-step explanation:
Parallel lines have the same slope
Perpendicular lines have negative reciprocal slopes
line 1: 6x - 4y = 2
line 1: 4y = 6x - 2
line 1: y = (3/2)x - 0.5
line 2: y = (-2/3)x - 6
line 3:3y = -2x + 4
line 3: y = (-2/3)x + 4/3
Answer:
the hat would cost $6.495 which if you round the answer it would be $6.50
Step-by-step explanation:
12.99*50%=12.900*.50=6.495 round to 6.50
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
Answer:
The margin of error is multiplied by 
Step-by-step explanation:
margin of error (ME) from the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic of the given confidence level
- s is the standard deviation of the sample (or of the population if it is known)
Since margin of error is proportional with inverse of 
,
if we cut the sample size in half, the margin of error is multiplied by .
