Answer:
a) The limit doesnt exist.
b) The limit exists and its value is 1/10
Step-by-step explanation:
a) We take the highest power (x⁴) as common factor in both the numerator and the denominator.
The limit of the numerator is 1 (when x goes to infinity) and the limit on the second part is 0. Hence the limit doesnt exist (it goes to infinity).
b) Note that if we multiply √x - 5 by its conjugate of , which is √x + 5, we obtain x - 25, thus
Hence, the limit exists and its value is 1/10.
Answer:
w = - 16.06 or w = 2.06
Step-by-step explanation:
Given
w² + 14w - 33 = 0 ( add 33 to both sides )
w² + 14w = 33
To complete the square
add ( half the coefficient of the w- term )² to both sides
w² + 2(7)w + 49 = 33 + 49, that is
(w + 7)² = 82 ( take the square root of both sides )
w + 7 = ± ( subtract 7 from both sides )
w = - 7 ± , that is
w = - 7 - ≈ - 16.06 or w = - 7 + ≈ 2.06
ANSWER: ∠T = 32.4°
Remember the formula for the basic trig functions: SOH CAH TOA
Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem with <em>a </em> and <em>b</em> being the side lengths and <em>c</em> being the hypotenuse.
Using the theorem, we get c=37
Now use the cosine formula to get <T = 12/37 to get the final answer.
Answer:
154.8-155.6
Step-by-step explanation:
155.2-.4=154.8 or maybe its more in that case the most it could be is 155.2+.4=155.6
Again using the Pythagorean Theorem:
h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:
34^2=16^2+y^2
y^2=34^2-16^2
y^2=1156-256
y^2=900
y=√900
y=30 ft
So the ladder will reach a spot 30 feet high on the building.