Answer:
I don't know sorry can't help you
Answer:
The null hypo would be the difference is greater than 0
so the alternate hypothesis would be less than or equal to 0
H1: µd ≤ 0
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Answer:
Height of flag pole to the nearest foot is 43 feet
Step-by-step explanation:
In the diagram we have flag pole AB and C is the point on the ground.
It is given that angle of depression is 30°
and the distance of the point C from the base B is 75 feet
so we have
BC= 75 feet
∠C = 30°
AB= h feet
now in right ΔABC
now we plug AB= h , ∠C= 30° and BC =75
( multiply both sides by 75)
Height of flag pole to the nearest foot is
h= 43 feet
The answer is 32 cm. for the hexagon
