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3 years ago

What is the equivalent degree angle measure of 5π3 radians?

Mathematics

1 answer:

Bogdan [553]3 years ago

5 0

Answer:

300 degrees

Step-by-step explanation:

"To convert from radians to degrees, we use the following fact: π radians = 180°" - study

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

Help plssssssssssssssss

Alina [70]

Step-by-step explanation:

1. vertical angles. x = 5

2. supplementary x = 12

3. complementary x = 7

4 Supplementary x = 17

5. sQR = 118

RQT = 62

6 LNK = 47, JNM = 47

4 0

2 years ago

Read 2 more answers

Situation: Florentina the Baker has already prepared 4 kilograms of dough. She

insens350 [35]

Answer: 4 kilograms of dough and will continue preparing 1 kilogram of dough every hour.

Step-by-step explanation:

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3 years ago

Estimate the area of a circle with a radius of 3.1 feet

Aliun [14]

Answer:

Step-by-step explanation:

Area of a circle = pi x square of radius = 30.190 ft

5 0

3 years ago

A standard six-sided die is rolled. what is the probability of rolling a number equal to 3? express your answer as a simplified

alexandr402 [8]

there is 1 number 3 on a 6 sided die

so the probability or rolling a 3 is 1/6

4 0

3 years ago