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Andreas93 [3]
3 years ago
13

Define a function g that gives the area of a circle a in terms of the circumference of the circle

Mathematics
1 answer:
Alex3 years ago
8 0
A=pir^2
C=2pir
=>r=C/2pi
g(c)=pi(C/pi)^2
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(A)+(B)=8 I need help for this question please, and thanks. :) 10 pts!!
Monica [59]
You haven't included enough information for the question, but assuming that a and b are the same then a is 4 and b is 4
7 0
3 years ago
Simplify the expression. Write your answer as a power.
nekit [7.7K]

Answer:

either 2^8/3^8 or 256/6561

Step-by-step explanation:

looked it up on Symbolab

5 0
3 years ago
I NEED HELP ON THIS PLEASE
Drupady [299]

Answer:

at 12 hours, it's 9 inches.

at 14 hours, it's 14 inches.

at 13 hours it's 16 inches.

I'm not sure if you needed how many inches it snowed an hour, or if you just needed the hours and inches. My apologies.

3 0
3 years ago
Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv
dezoksy [38]

Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

180000 - 4y = 144000

180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0
3 years ago
Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
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