Length of AB is 18
Step-by-step explanation:
- Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.
sin 60 = opposite side/hypotenuse = 9√3/x
x = 9√3/sin 60
= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)
= 18
Answer:
C
Step-by-step explanation:
The wanted region(shaded part)..is greater or equal to 2 due to the bold line...so hence the first inequality is....y is greater than or equal to 2
And the second solution....is y is less than x because of the continuous broken line...hence it cant be less than or equal to
First, we need to solve for the common ratio from the data given by using the equation.
a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5
Then, we can find the sum by the expression:
S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313
Answer:
-30 feet
Step-by-step explanation:
You are going down so it would be negative, if you were going up it would be posotive.
Total = 500 * ([(1 + .07)^26 -1] / .07) -500
Total = 500 * (<span><span>4.8073529249
</span>
/ .07) -500
</span>Total = 500 * (<span>68.6764703562) -500
</span>Total =
<span>
<span>
<span>
33,838.24
</span></span>
Source:
http://www.1728.org/annuity.htm
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