Answer: x = 1 + 0.5c
Step-by-step explanation:
Answer:0
Step-by-step explanation:
Because it is a 0
The answer is 2. You gotta multiply them all together
Answer:
This is GP with the first term of 512 and common ratio of 1/2
<u>The formula for nth term is:</u>
<u>The number of teams after the 4th round:</u>
- a₄ = 512*(1/2)⁴ = 32 teams
<u>Number of rounds to determine the champion:</u>
- 1 = 512*(1/2)ⁿ
- 2⁰ = 2⁹*2⁻ⁿ
- 0 = 9 - n
- n = 9 rounds
Answer:
- sin(X) = 6/7.5
- XY = 4.5
- cos(X) = 4.5/7.5
- tan(X) = 6/4.5
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...
XZ² = YZ² + XY²
Solving for XY, you find ...
XY² = XZ² - YZ²
XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25
XY = 4.5
The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...
Sin = Opposite/Hypotenuse
sin(X) = 6/7.5
Cos = Adjacent/Hypotenuse
cos(X) = 4.5/7.5
Tan = Opposite/Adjacent
tan(X) = 6/4.5
_____
<em>Comment on the triangle and ratios</em>
The side lengths of this triangle are in the ratios ...
XY : YZ : XZ = 3 : 4 : 5
If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.
The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.
