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Rudik [331]
3 years ago
10

Find the value of x. 899 46 X

Mathematics
2 answers:
Aleksandr [31]3 years ago
6 0
180-135=45
The answer is 45
Hatshy [7]3 years ago
3 0

Answer:

I think it's 45.

Step-by-step explanation:

46 + 89 = 135

adding all the angles of a triangle will always equal 180.

180 - 135 = 45

the last angle is 45.

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Rhonda bought a new laptop for $800. The laptop depreciates, or loses, 20% of its value each year. The value of the laptop at a
zhuklara [117]

As per the problem,

Rhonda bought a new laptop for $800.

The laptop depreciates, or loses, 20% of its value each year.

The value of the laptop at a later time can be found using the formula

A=P(1-r)^t.....(1)

Here we have

P=$800

r=20%=0.20

t=2 years

Substitute the values in equation (1) we get

A=800(1-0.2)^2\\ \\ \Rightarrow A=800(0.8)^2\\ \\ \Rightarrow A=800*0.64\\ \\ \Rightarrow A=512\\

The laptop be worth in two years will be $512.

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2 years ago
Carol has a collection of 100 stamps the graph below shows the percentage of stamps she has from each country. How many more of
Gala2k [10]
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5 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

  • A = amplitude (height from the mid-line to the peak)
  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

  • Amplitude (A) = 1
  • Period = 2π
  • Phase shift (C) = 0
  • Vertical shift (D) = 0
  • Mid-line:  y = 0

From inspection of the given graph:

  • Amplitude (A) = 1
  • \sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}
  • Phase shift (C) = 0
  • Vertical shift (D) = +3  (as mid-line is y = 3)

\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

6 0
1 year ago
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