Answer:
Option (3) is correct.
Step-by-step explanation:
We need to find the expression that is equivalent to 
.
The property is : 
Here, a = 1/2
So,
We know that, 
So, is equivalent to 
Hence, the correct option is (3).
Well the angle is acute at the 3 it would be a right angle so I'm guessing it's 30 degrees but if I'm wrong u could use a protractor to find the angle of degrees
Sand to cement
7:3
210:x
ask yourself what number is needed to multiply by 7 to get 210 ( so you'd divide 210 by 7 which is 30). Multiply the other side by thirty as well to get the value of x
3*30 which is 90
Answer:
Option B) Reject null hypothesis
Step-by-step explanation:
We are given the following in the question:
We are given the null hypothesis:
Two tailed z-test
Now, 
Since,
The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.
Left-tailed z-test
Now, 
Since,
We fail to accept and reject the null hypothesis.
Right-tailed z-test
Now, 
Since,
We fail to accept and reject the null hypothesis.
Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)
