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Alik [6]
3 years ago
12

Y = sin (x) + 60, What transformation does + 60 cause to the sine graph?

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

1. There is a vertical shift.

Step-by-step explanation:

The component +60 translates the original function in the +y direction. The operation is described by following formula:

f'(x) = f(x) + k (1)

Where:

f(x) - Original function.

f'(x) - Resulting function.

k - Vertical translation distance.

Since resulting function is a consequence of a translation in +y direction, then k>0. Hence, correct answer is 1.

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1.5 in simplest form :)
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3 years ago
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Explain the following types of angles:
ZanzabumX [31]

Answer:

acute angle measure less than 90 degrees, right angle measure 90 degrees, Obtuse angle measure more than 90 degrees, straight angle equal to 180 degrees, reflex angle is an angle greater than 180° and less than 360°, complementary angle either of two angles whose sum is 90°, supplementary angle either of two angles whose sum is 180°

6 0
2 years ago
URGENT PLEASE HELP ME<br> what side is the adjacent and opposite
trapecia [35]

Answer: Line DE is the adjacent while line EF is the opposite.

Step-by-step explanation: This is a right angled triangle and the reference angle has been marked at point D. If you drew a line from that angle it would touch the triangle at line line EF. It’s facing the reference angle and that’s why it’s called the “opposite.”

The line that lies between the reference angle and the right angle is called the adjacent and that’s line DE in this triangle. The hypotenuse has already been identified for you, and that’s the line that’s opposite the right angle (it’s always the longest side).

**Please note that the opposite and adjacent ALWAYS depends on where the reference angle is positioned.

5 0
3 years ago
Calculate the infant mortality rate (per 1,000 live births) from the following data:________.
Mademuasel [1]

Answer:

Between 1991 and 2013, the infant mortality rate in the United States declined  from 8.943% to 5.708 %  

Step-by-step explanation:

From the information given:

The number of infant deaths under 1 year in the United States during 1991 = 36,766

The number of live births during 1991 = 4,111,000

Infant  \ mortality \  rate \  in  \ 1991 = \dfrac{Number  \  of \ deaths \ under \  1  \ year}{Total \ number \  of \  live \ births \ in \  1991} * 1000

Infant  \ mortality \  rate \  in  \ 1991 = \dfrac{36766}{4111000} * 1000

Infant mortality rate in 1991 = 8.943%

From the data of year 2013 in the United States Record, 23,446 infants died under one year

Infant  \ mortality \  rate \  in  \ 1993= \dfrac{23,466}{4111000} * 1000

Infant mortality rate in 1993 = 5.708 %

Between 1991 and 2013, the infant mortality rate in the United States declined  from 8.943% to 5.708 %   which is approximately 3%

6 0
3 years ago
Read 2 more answers
I need an answer so I can get good grades
UkoKoshka [18]

Answer:

Perimeter of figure = 36.3

Step-by-step explanation:

We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:

Length (L) = 9

Width (W = 4

Perimeter of rectangle (Pᵣ) =?

Pᵣ = 2(L + W)

Pᵣ = 2(9 + 4)

Pᵣ = 2(13)

Pᵣ = 26

Next, we shall determine the perimeter of semi circle. This can be obtained as follow:

Diameter (d) = 4

Pi (π) = 3.14

Perimeter of semi circle (Pₛ) =?

Pₛ = ½(πd) + d

Pₛ = ½(3.14 × 4) + 4

Pₛ = ½(12.56) + 4

Pₛ = 6.28 + 4

Pₛ = 10.28

Finally, we shall determine the perimeter of the figure. This can be obtained as follow:

Perimeter of rectangle (Pᵣ) = 26

Perimeter of semi circle (Pₛ) = 10.28

Perimeter of figure =?

Perimeter of figure = Pᵣ + Pₛ

Perimeter of figure = 26 + 10.28

Perimeter of figure = 36.28 ≈ 36.3

5 0
3 years ago
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