Answer: The first equation should be multiplied by 9 and the second equation by −4, to eliminate the y-terms and solve for x in the fewest steps.
Step-by-step explanation:
Given : Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
to eliminate the y-terms and solve for x in the fewest steps, we should multiply equation (1) by 9 and equation (2) by -4 such that
9(5x − 4y) =9 (28)⇒45x-36y=252
-4(3x - 9y) = -4(30)⇒ -12x+36y= -120
Now adding both equations, y-term eliminated and we get, 45x-12x=132
⇒33x=132⇒x=4.
Answer:
The probability that the man is greater than 74 inches is 0.1587
Step-by-step explanation:
The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values
The standard normal variate factor (Z) is given by

where
is mean of the data
is the standard deviation of the data
Thus corresponding to x = 74 the Z factor equals

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals
0.1587
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a
BC is the short leg of ∆ABC
Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3
For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3
CD = a = √3
AD = a√3 = 3
For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1
DB = a = 1
I believe that this problem has the following choices:
It must be equal to BQ .<span>
It must be wider than when he constructed the arc centered at
point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered
at point A.</span>
The correct answer is the last one:
It must be the same as when he constructed the arc centered
at point A.
<span> </span>
To get the square root of 29, we can simply use a
calculator.
So the square root of 29 using the calculator is:
sqrt (29) = 5.3852
<span> So we can say that
5.7145 is greater than the square root of 29.</span>
<span>The difference is 5.7145 – 5.3852 = 0.3293</span>