Answer:
B = 45°
BC = 14 km
AB = 14√2 km ≈ 19.80 km
Step-by-step explanation:
If one acute angle (A) of a right triangle is 45°, then the other one is also:
... 180° -90° -45° = 45°
The sides opposite these congruent angles are the same length, 14 km in this case, and the hypotenuse is found from the Pythagorean theorem to be √2 times either leg length.
... AB² = AC² +BC²
... AB = √(AC² +BC²) = (14 km)√(1² +1²) = 14√2 km
Answer: The log simplifies to
-2-------------------------------------------
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Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is

where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.
Because 36 = 6^2, this means that 1/36 = 6^(-2)
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So,



Use log rule 1 (see above)

Use log rule 2 (see above)
This means that the given expression simplifies to
-2You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get
-2 as the answer
Answer:
is there a photo for this problem? I solved what i coulda. givenb. givenc. def. of supplementary angles (i think)d.photo to support this?
e.
Answer:
The solution is: (x, y) = (9, -7)
Step-by-step explanation:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
x+y=3
y=3-x
Step 2: Substitute the solution from step 1 into the second equation.
3x+4(3-x)=5
Step 3: Solve this new equation.
3x+4(3-x)=5
3x+12-4x=3
-x+12=3
-x=3-12
x=9
Step 4: Solve for the second variable
y=3-x
y=3-9
y=-7
The solution is: (x, y) = (9, -7)