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lorasvet [3.4K]
4 years ago
10

Verify the identity sin^2(x/2)=(1-cosx)/2

Mathematics
1 answer:
horsena [70]4 years ago
5 0
Use the following identity:

cos(2x)=1-2sin^2(x)
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Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?
n200080 [17]

Answer:

y=1 and x = 2

Step-by-step explanation:

Given equations are :

2x-2y = 2 ....(1)

5x+2y= 12 .....(2)

Adding equation (1) and (2),

2x+5x = 2+12

7x = 14

x = 2

Put the value of x in equation (!).

2(2)-2y = 2

4-2y=2

2=2y

y=1

So, the values of x and y are 2 and 1 respectively.

4 0
3 years ago
1. The population of an endangered species of bird is decreasing 15 percent each year. If there were originally 1,400 birds rema
balu736 [363]

Answer:

528 birds

Step-by-step explanation:

100%-15%= 85% = .85

1400 (.85)^6

= 528

7 0
3 years ago
Three-fifths of a party’s guest are children. There are 36 children at the party. Let t be the total number of guests at the par
ivanzaharov [21]

Answer:

t=60

Step-by-step explanation:

\frac{3}{5}*t=36

t=(36*5)/3=60

8 0
4 years ago
Can you answer this
scoray [572]
I did know is understandable is the web in math?
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3 years ago
A data set lists the number of times a machine breaks each month in a shoe factory over the past year. For this data set, the mi
gogolik [260]

Answer:

answer is in the attached picture

Step-by-step explanation:

To construct the box-and-whisker plot from the given data we first need to find the 3rd quartile.

To find the 3rd quartile we will use the interquartile range and 1st quartile.

Interquartile range = 3rd quartile - 1st quartile

(substitute the values given in the question)

3 = 3rd quartile - 6

3rd quartile = 3 + 6

3rd quartile = 9

hence we now have the complete data to construct the box-and-whiskers plot.

The plot is in the attached picture.

5 0
3 years ago
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