Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
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If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3
3-5x = -5
X =8/5
I hope this helps
Answer:
39 investors contributed $6,000, and 21 investors contributed $12,000.
Step-by-step explanation:
Let's say that x investors contributed $6,000, and y investors contributed $12,000.
x + y = 60
6,000x + 12,000y = 486,000
x + 2y = 81
x + y = 60
y = 21
x + 21 = 60
x = 39
So, 39 investors contributed $6,000, and 21 investors contributed $12,000.
Hope this helps!
Probability of all 3 calculators being good = 0.971.
<u>Step-by-step explanation:</u>
We have , A sample of 3 different calculators is randomly selected from a group containing 17 that are bad and 36 that are good. In order to calculate that all 3 randomly selected calculators are good , let's calculate probability of all 3 being bad and subtracting value by 1. i.e. Probability of all 3 being good = 1 - Probability of all 3 being bad
⇒ Probability of all 3 being bad =
×
×
= 4193/148877
∴Probability of all 3 being good = 1 - Probability of all 3 being bad
⇒ 
⇒
∴Probability of all 3 calculators being good = 0.971.
9514 1404 393
Answer:
B
Step-by-step explanation:
When solving multiple choice problems, a reasonable strategy is to look for ways to identify one answer as good, or other answers as bad.
Here, all of the constant vectors in the equations are different, so we can decide the answer based on that.
The only equation with the correct constant vector is choice B.
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The constants in the equations are -4, 1, 9 — the values to the right of the equal sign.