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ohaa [14]
3 years ago
7

(I'm sorry for this but) does anyone make good video edits or aesthetics? Like i'm in need of a personal editor... and can't fin

d one. Sorry for this question I had to..
Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

It depends

Step-by-step explanation:

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Write the expression as either the sine, cosine, or tangent of a single angle.
lana66690 [7]
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)

This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B

If we let
A = π / 5
B = π / 7

Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)

4 0
4 years ago
Read 2 more answers
Find the value of the given expression.<br><br> 14 - 110/5
iogann1982 [59]

Answer:

-8

Step-by-step explanation:

14-\frac{110}{5}=\frac{14*5-110}{5}=\frac{70-110}{5}=\frac{-40}{5}=-8

7 0
4 years ago
The population of a certain country in 1997 was 288 million people. In​ addition, the population of the country was growing at a
Crazy boy [7]

Answer:

a) In the year 1998 with 3 days, 2 hours, 44 minutes and 18.1006141 seconds

b) In the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds

Step-by-step explanation:

a) To know the time when the population will be 305 million people, we need to isolate the variable t in the equation, P(t)=288(1.009)^{t-1997}

So we isolate t with the property of logarithms that allow us go down the exponent, applying in both sides of the equation

For this subsection the value of P is equal to 305 million people

Ln(305)=Ln[(288)(1.009)]^{t-1997}

Ln(305)=(t-1997)*Ln[(288)(1.009)]

Now, we can isolate the value of t

\frac{Ln(305)}{Ln[(288)(1.009)]} =t-1997

\frac{Ln(305)}{Ln[(288)(1.009)]}-1997 =t

t=1998.008531776402

So to know the exact date we multiply the number after the point, that is 0.008531776402 for the number of days that have 1 year, equal to 365 days

0.008531776402*365= 3.114098387 days

then the number after the point, that is 0.114098387 will be multiply for the number of hours that have 1 day

0.114098387*24= 2.738361282 hours

then the number after the point, that is 0.738361282 will be multiply for the number of minutes that have 1 hour

0.738361282*60= 44.3016769 minutes

Finally, the number after the point, that is 0.3016769 will be multiply for the number of seconds that have 1 minute

0.3016769*60= 18.1006141 seconds

And we obtain that the time, when the population of the country is 305 million people, is in the year 1998 with 3 days, 2 hours, 44 minutes and 25.152 seconds

b) For calculate the time when the population is 395 million people, we do the same process we did in the subsection a)

Ln(395)=Ln[(288)(1.009)]^{t-1997}

Ln(395)=(t-1997)*Ln[(288)(1.009)]

Now, we can isolate the value of t

\frac{Ln(395)}{Ln[(288)(1.009)]} =t-1997

\frac{Ln(395)}{Ln[(288)(1.009)]}-1997 =t

t=1998.05412021527

0.05412021527*365= 19.75387857 days

0.75387857 *24= 18.09308577 hours

0.09308577*60= 5.585145912 minutes

0.585145912*60= 35.10875472 seconds

And we obtain that the time, when the population of the country is 395 million people, is in the year 1998 with 19 days, 18 hours, 5 minutes and 35.10875472 seconds

8 0
3 years ago
B. Calculate the distance Kinsey jogs if<br> she jogs'mile each day for 9 days.
yuradex [85]

Answer:

9x miles

Step-by-step explanation:

Distance covered per day = x mile per day

Number of days = 9days

Unknown:

Distance covered for 9 days = ?

Solution:

This is a simple problem.

Since Kinsey covered a distance of x mile/day, in 9 days:

                 x mile is covered in 1 day;

                         

               1 day, Kinsey covers x mile

               9 days, she will cover  9 x  (x) miles = 9x miles

5 0
3 years ago
A square has the area of 16x2+16x+4. <br><br> Write the polynomial that represents the perimeter.
Olegator [25]
4(4x^2+4x +1)
4(2x+1)(2x+1)

the answer to the question
5 0
3 years ago
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