Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.
Answer:
15x+98=105
-98 -98
15x=7
/15 /15
x=7/15
Step-by-step explanation:
x=7/15
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
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Answer:
-9
Step-by-step explanation:
Four consecutive odd integers be (2x - 3),(2x -1),(2x + 1),(2x + 3)
2x-3 + 2x - 1 +2x+1 + 2x+3 = -48
2x + 2x + 2x +2x - 3 - 1 + 3 + 1 = -48
8x = -48
x = -48/8
x = -6
Least of these integer = 2x + 3 = 2*(-6) + 3 = -12 + 3 = -9
The rage of the function is x=-6
