Answer:
BD = 35
Step-by-step explanation:
Calculate CD in right triangle ABC, then BD in right triangle BCD
Using Pythagoras' identity in both triangles.
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In Δ ADC
CD² + AD² = AC² , substitute values
CD² + 9² = 15²
CD² + 81 = 225 ( subtract 81 from both sides )
CD = 144 ( take the square root of both sides )
CD = = 12
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In Δ BCD
BD² + CD² = BC² , substitute values
BD² + 12² = 37²
BD² + 144 = 1369 ( subtract 144 from both sides )
BD² = 1225 ( take the square root of both sides )
BD = = 35
Answer:
2006 years old.
Step-by-step explanation:
If it had 50% of its carbon-14 it would be 5730 years old.
Since it has 65% left it is younger than 5730 years.
So it is (1 - 0.65) * 5730
= 2005.5 years old.
Answer:
Step-by-step explanation:
The answer would be A because the hypothesis of a conditional statement is the statement after the "if", but before the "then".
Answer:
10,000
Step-by-step explanation:
The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide and , you should get , which is equal to 10,000.
For starters, follow through this problem on the order of operations. PEMDAS is the one I use, but I’ve seen others. It stands for Parenthesis Exponents Multiplication Division Addition Subtraction. You can’t do anything inside the parenthesis and there are no exponents, so we skip to the multiplication. That -2 outside of the parenthesis is what you multiply by. So, your equation then becomes 7x -6x +12. Combining like terms, you are left with x + 12. If what are looking for is substituting -3 in for x, that’s also easy. Just put -3 in place of all the x’s and again follow through order of operations. 7(-3)-2[4(-3)-6] is what you should start off looking like. Doing your multiplication, you have -21 -2(-12-6). Go to your parenthesis, -21 -2(-18). Multiply, -21 + 36. And finally, add. If using substitution, your answer is 15. I did both equations because I didn’t know which way they were supposed to be drone because that x= -3 thing was confusing me. I hope this helped though. :)