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Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
Answer:
BC=√7
Step-by-step explanation:
AC=4
AC=AH+HC
=3HC+HC
=4HC
HC=1/4AC=1/4×4=1
AH=3HC=3×1=3
BH⊥ AC
AB=AC=4
Answer:
Step-by-step explanation:
The given expression is
First, we need to factor each denominator
So, the least common factor (LCF) is 
, because they are the factors that repeats.
Now, we diviide the LCF by each denominator, to then multiply it by each numerator.
Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.
Therefore, the expression is equivalent to
Answer:
29,035.43 meters
Step-by-step explanation:
What we know:
- The elevation of the shore of the Dead Sea is -1,344.99 meters.
- The summit of Mt. Everest is 30,380.42 meters above the Dead Sea.
So, we just add the two values.
30,380.42 + (-1,344.99)
We can rewrite this as 30,380.42 - 1,344.99 since adding a negative is the same as subtracting that number.
And we get 29,035.43 meters as the elevation or height of Mt. Everest.
Answer:
If 5 is zero then (x - 5) is a factor.
Only 4. has this factor.
Step-by-step explanation:
