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Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.
B. 6/9 because 6/9 equal to 2/3 so it’s basically the same ratio
The amount of money that John would have in his account when he is ready to retire is $6,351,400.21.
<h3>How much would be in the retirement account?</h3>
The formula that can be used to determine the future value of the annuity is
Future value = Daily deposit x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 3.5 / 365 = 0.0096%
- n = (65 - 48) x 365 = 6205
Annuity factor = [(1.000096^6205) - 1] / 0.000096 = $8468.53
Future value = 750 x $8468.53 = $6,351,400.21
To learn more about annuities, please check: brainly.com/question/24108530
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You divide the area of the square by how many sides it has. 6400 ÷ 4 = 1600ft
