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Ilia_Sergeevich [38]
3 years ago
14

How to find missing side lengths with an angle and one length?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0

In order to solve a triangle, you need three of the six bits of information that define the triangle (3 angles, 3 sides), including at least one side. If you have one angle and one side, you only have two, not three. The triangle cannot be solved.

However, if your triangle is a right triangle, and the angle referred to in the problem statement is not the right angle, then you have the required information. In general, you make use of the definitions of the trigonometric functions. These can be remembered by the mnemonic SOH CAH TOA.

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Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

8 0
3 years ago
Read 2 more answers
What number should be added to 18 to get a sum of −97?
NARA [144]

x  + 18 =  - 97 \\ x =  - 115
Answer: -115 should be added to 18 to get a sum of -97.

Hope this helps. - M
6 0
3 years ago
How do you verify this trigonometric identity? cos^2 θcot^2 θ = cot^2 θ - cos^2 θ
sattari [20]
<h3>Explanation:</h3>

Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).

  cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)

  (1 -sin^2(θ))cot^2(θ) =  . . . . . replace cos^2 with 1-sin^2

  cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin

  cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired

8 0
3 years ago
Can I have some help I’ll mark brainliest
Juli2301 [7.4K]
45/45/90 triangle has side ratios s/s/sroot2
leg = root 5
Other leg is also root 5
X is Hypotenuse which would be root 5 * root 2
root 5*2 = root 10
6 0
2 years ago
If the measure of angle is 38 what is the measure of its complement
iragen [17]
90-38 =52 answer is 52
8 0
3 years ago
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