Step-by-step explanation:
we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem
the length of the side opposite the 30 angle is 17/2
talking about exercise on the photo the answer is
8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.
Now lets use pythagorean theorem
x^2+y^2=z^2
z is hypotenuse
8^2+y^2=16^2
64+y^2=256
y^2=256-64
y^2=192
y=8√3
Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )
Remember that the formula for simple interest is:

Where I is the interest to paid, p is the loan, r is the interest rate (in decimal), and t is the time (in years).
A. We know that the interest rate for a loan of 9 months is 2.9%, but we need to convert that rate to decimal. To do that just divide the interest rate by 100%:

Next, we are going to find the time t in years. Since the period of time is 9 months, we are going to dive by 12, the number of months in a year, to obtain the time in years:

Now, we just need to replace the values in our formula to find the interest owned:

We can conclude that <span>the interest owed for a home improvement loan of $900 after 9 months is $19.58.
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B. Similarly:



We can conclude that the interest owed for a home improvement loan of $2500 after 18 months is $116.25.
C. Similarly:



We can conclude that the interest owed for a home improvement loan of $5600 after 6 months is $67.2
Answer:
i think it's 16
Step-by-step explanation:
We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :

So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.