Ok so given the point (r, theta)
The corresponding Cartesian point is (r*sin(theta), r* cos(theta)) you can think about this by analyzing the points on a unit circle which is a graph of a polar circle with radius 1 and angle theta
Invested at 7%: s
Invested at 5.5%: f
Then s+f=$15000, or f= $15000-s
Then add together the 2 interest amounts:
i = s(0.07) at 7%
i = f(0.055) at 5.5%
Then 0.07s + (15000-s)(0.055) = $952.50
Solve this for s, the amt. invested at 7%:
0.07s + 15000(0.055) - 0.055s = 952.50
Combining the s terms,
0.015s = 952.50-825
952.50-825
Then s = ------------------- = 8500
0.015
Ruth invests $8500 at 7% and $6500 at 5.5%.
Answer:
Step-by-step explanation:
<u>Lets verify with Pythagorean:</u>
- 17² = 289
- 13² + 14² = 169 + 196 = 365
- 289 < 365
The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles<u> are less than 90°</u>.
With this the triangle is <u>acute</u>.
Correct choice is A.
Answer:
I think its A
Step-by-step explanation:
-7 times -4 is equal to 21 plus one 22
-10 times -4 is equal to 40 plus 41: 81
So this means that -4 is the answer but it can be any number less than -4 as well