Answer:
B
Step-by-step explanation:
check the answer,4 square=16,
4.5 square=20.25,
5 square=25
20.25<24<25,
so 4.5<square root of 24<5
If you meant:
Then, let's change the square to read:
Now, we can just multiply the two powers, and
your answer is:
Hope I helped.
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.
To estimate the sum of these two numbers, we shall round them to the nearest 5,000, and then add the sum of those numbers.
36,795 rounded to the nearest 5,000 = 35,000
14,467 rounded to the nearest 5,000 = 15,000
15,000+35,000= 50,000
Therefore, an estimate for the sum of 36795 and 14467 is approximately 50,000.
