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anygoal [31]
3 years ago
13

Rewrite 1−2 sin ^2 (22.5∘) using a double-angle identity.

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0
Using the identity :

Cos (2a) = 1-2 Sin^2(a)

Therefore :<span>1−2 sin ^2 (22.5∘) = Cos(2a)
                                                = Cos (2 * 22.5) = Cos 45</span>
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Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i
Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\dfrac{4}{5}th of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \dfrac{4}{5}th of total paint used

                 = \dfrac{4}{5}\times 6.3

                 = 5.04

White paint = Total paint used - Blue paint

                   = 6.3-5.04

                   = 1.26

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

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3 years ago
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shusha [124]
247 is the correct answer!

6 0
3 years ago
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vampirchik [111]
Are you trying to convert the percentages into fractions or??
3 0
3 years ago
Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,
Hatshy [7]

Answer: T'(18,36)

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of \frac{9}{5}, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

T(10,20)

You get that the coordinates of the Image T' are the shown below:

T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)

6 0
4 years ago
Two lines, A and B, are represented by the equations given below:
SashulF [63]
Given:
Line A: 2x +  2y = 8
Line B:    x + y = 4

x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8

y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0

There is no solution.
4 0
3 years ago
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