Answer:
Part A: 6
Part B: 6√3
Step-by-step explanation:
Part A:
Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.
In a 30-60-90 the short leg is half of the hypotenuse.
YX = 12/2 = 6
Part B:
Method 1:
In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.
YZ = 6√3
Method 2:
Use the Pythagorean theorem.
a² + b² = c²
6² + (YZ)² = 12²
(YZ)² = 108
YZ = √(108)
YZ = √(36 × 3)
YZ = 6√3
Answer:
The Answer is: N = 36
Step-by-step explanation:
4 + N = 8 x 5
4 + N = 40
Subtract 4 from both sides:
N = 36
Answer:Given a rectangle, the general equation for the perimeter is P=2l+2w and area is A=lw where l is the length and w is the width.
Let x = width and x+10 = length
So the equation to solve becomes 40=2x+2(x+10) so x=5 thus the width is 5m and the length is 15m.
Thus the area is 5⋅15=75m2
Step-by-step explanation:
Answer:
6.43
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Step-by-step explanation:
length of side x will be
Tan tita = opp/adjacent
tan65 = x/3
tan 65 is 2.14
so...you are left with 2.14=x/3
by cross multiplying
x= 2.14 × 3
= 6.43
Answer: 18
Step-by-step explanation:
The formula to find the minimum sample size is given by :_
, where 
= population standard deviation.
z*= critical z-value.
E= Margin of error.
Given : 
E= ± 8
We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]
Then, the required sample size would be :
[Round to next integer.]
Hence, the required minimum sample size = 18
