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german
3 years ago
12

What is the value of x? sin(x + 22)° = cos(2x - 7)º

Mathematics
2 answers:
Contact [7]3 years ago
6 0

Answer:

x = 25

Step-by-step explanation:

Recall the trig identity sin(x) = cos(90 - x)

In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)

Now, set them equal to each other:

cos(68 - x) = cos(2x - 7)

We can ignore the cosine:

68 - x = 2x - 7

3x = 75

x = 25

EleoNora [17]3 years ago
5 0

Answer:

x=25°

Step-by-step explanation:

sin (x+22)=cos(2x-7)=sin (90-(2x-7))

x+22=90-(2x-7)

x+22=90-2x+7

x+2x=97-22

3x=75

x=75/3=25°

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The GCF of 36 and 63 is ____.
MArishka [77]
Factors of 36: 1; 2; 3; 4; 6; 9; 12; 18; 36

Factors of 63: 1; 3; 7; 9; 21; 63

Answer: GCF(36; 63) = 9
8 0
3 years ago
Read 2 more answers
The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The expone
liraira [26]

Answer:

The population in 2003 was 234  million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

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Therefore, in 2003   p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

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7 0
4 years ago
Solve for r <br> r/8 =7<br> r = ____
Nostrana [21]

Answer:

r=56

Step-by-step explanation:

Since, r divided by 8 gives 7, if you do the inverse function(which is basically like the reverse of the question)

you can multiply 8 and 7 to find the r.

So 8 times 7 gives 56.

And to check you can do

\frac{56}{8} which gives 7

You can tell me if my explanation is wrong. Thanks

4 0
3 years ago
Read 2 more answers
Castor brought 6 3/4 small carrot cakes to share with 26 students in his class. Did Castor bring enough for each student to have
Artemon [7]
Yes that is correct  27 pieces
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3 0
4 years ago
Lamp is reduced from $80. to $50. what is the percent of decrease
WITCHER [35]

Answer:

30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction; 

37.5/100

Now we just take the numerator of the number to get the percent, which is the solution. 


37.5%



8 0
4 years ago
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