Is it a proportional relationship

An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle? degrees

ElenaW [278]

Answer:

Step-by-step explanation:

$\frac{deg}{rad}=\frac{360}{2\pi}=\frac{180}{\pi}\\ \\ deg=\frac{180rad}{\pi}\\ \\ deg=\frac{180(4.3)}{\pi}\\ \\ deg=\frac{774}{\pi}^o\\ \\ deg\approx 246^o$

7 0

3 years ago

Read 2 more answers

If you need one gallon of gas for 20miles how many gallon do you need for 364 miles?

ad-work [718]

Divide total miles by miles per gallon:

364 miles / 20 miles per gallon = 18.2 gallons

7 0

4 years ago

Logan is buying equipment for the football team and the baseball team. He spends $40 on football uniforms, and he plans on purch

aleksandr82 [10.1K]

Answer:

The coordinate pair that represents this solution is (20 , 240)

Explanation:

We are given that:

1- Equation that represents amount paid on football team based on number of purchased footballs is:

y = 40 + 10x

2- Equation that represents amount paid on baseball team based on number of purchased baseballs is:

y = 200 + 2x

Now, Logan wants to spend the same amount of money on both teams. This means that the y value in both equations should be equal

He also wants to buy the same number of balls for the two teams. This means that the x value in both equations should also be equal.

Therefore, we would be getting the point of intersection between the two equations.

To do this, we will start by equating the two equations and solving for x as follows:

40 + 10x = 200 + 2x

10x - 2x = 200 - 40

8x = 160

x = 20

Then, we will use the x to substitute in any of the two equations:

Substituting in the first equation:

y = 40 + 10x = 40 + 10(20) = 240

Substituting in the second equation (as a check):

y = 200 + 2x = 200 + 2(20) = 240

Based on the above calculations:

If Logan bought 20 balls for each team, he will be spending $240 on each

Solution set is (20, 240)

Note: the graphical solution is attached.

Hope this helps :)

7 0

4 years ago

What is the slope of the following equation? 8z+3y=9

d1i1m1o1n [39]

Answer:

kk

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

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