I need help on math plz help fast
2 answers:
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Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
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The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.
Answer:
It has the same domain as the function
Step-by-step explanation:
we have
we know that
The radicand cannot be a negative number
so
Solve for x
Multiply by -1 both sides
The domain of the given function is the interval ----> (-∞,0]
All real numbers less than or equal to 0
The range of the given function is the interval ----> [0,∞)
All real numbers greater than or equal to zero
<u><em>Verify each statement</em></u>
Part 1) It has the same domain as the function
<em>The statement is true</em>
The domain of the function is
the interval ---> (-∞,0]
Part 2) It has the same range as the function
The statement is false
The range of the function is
the interval ---> (-∞,0]
Part 3) It has the same domain as the function
The statement is false
The domain of the function is
the interval ---> [0,∞)
Part 4) It has the same range as the function
The statement is false
The range of the function is
the interval ---> (-∞,0]