Answer:
explanation provided in the picture
Step-by-step explanation:
the answer is x= 55°
hopefully this helps ! :)
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: (A) independent or (D) not mutually excusive
Step-by-step explanation: Just think about it, what card you draw from a deck doesn't depend on anything. Not mutually exculisve means the same as indendent.
(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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Given cosθ = 2/5 and angle θ is in Quadrant IV, what is the exact value of sinθ in simplest form? Simplify all radicals if needed.
The exact value of sinθ in simplest form, with cosθ = 2/5 and θ in Quadrant IV, is -√21/5.
To find the exact value of sinθ, we can use the Pythagorean identity: sin²θ + cos²θ = 1. Since we know the value of cosθ, we can substitute it into the equation and solve for sinθ.
Given that cosθ = 2/5 and θ is in Quadrant IV, we know that the cosine is positive in Quadrant IV, and the sine is negative. Let's proceed with the calculations:
sin²θ + cos²θ = 1
sin²θ + (2/5)² = 1 (Substituting cosθ = 2/5)
sin²θ + 4/25 = 1 (Simplifying)
sin²θ = 1 - 4/25 (Subtracting 4/25 from both sides)
sin²θ = 21/25 (Simplifying)
Taking the square root of both sides, considering that sinθ is negative in Quadrant IV:
sinθ = -√(21/25)
Since we want to express the answer in simplest form, we can simplify the radical:
sinθ = -√21/√25
The square root of 25 is 5, so we can simplify further:
sinθ = -√21/5
Therefore, the exact value of sinθ in simplest form, given that cosθ = 2/5 and θ is in Quadrant IV, is -√21/5.
For more such question on sinθ. visit :
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