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serious [3.7K]
3 years ago
5

Find the values of X and Y

Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

y is equal to 2 and x is equal to 31 degrees.

Step-by-step explanation:

In order to find this, we must note that similar parts of congruent triangles are congruent. Since y is congruent to the part that is labeled 2, then it is an easy comparison.

x is a bit trickier. For this one, we must find the missing angle of the first triangle. To get that, we must subtract the given angle and the right angle from 180. This will give us x.

180 - 59 - 90 = x

31 = x

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A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

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>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<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.
  • t represents the period.
  • 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

#SPJ1

5 0
2 years ago
(☞╹◡╹)☞ Enjoy ☜(╹◡╹☜)
Sever21 [200]

Answer:

:DDDDD

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve this system of equations by any method.<br> 5x + y = -13<br> 4x + 3y= -17
irga5000 [103]
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2

5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3

solution (-2,-3)
5 0
3 years ago
Factor completely.
nexus9112 [7]
5x^2+10x-40=5(x^2+2x-8)=5(x^2+4x-2x-8)=5[x(x+4)-2(x+4)]=5(x-2)(x+4)

The Answer: B

:)
8 0
3 years ago
Read 2 more answers
a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning fl
slava [35]

Answer: \frac{1}{3}\ s

Step-by-step explanation:

Given

Distance traveled is s=30t^2+440t

for s=150 ft

\Rightarrow 30t^2+440t=150

\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s

6 0
3 years ago
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