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3 years ago

Find the measure of each angle

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

Answer:

6(78)-34

Step-by-step explanation:

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6+b/b is an integer number. find all possible integer values of b

Andrei [34K]

Step-by-step explanation:

(6+b)/b = x (= an integer number)

6 + b = bx (= still an integer number)

6 = bx - b = b(x - 1) (= still an integer number)

b = 6/(x - 1) (= still an integer number)

now for b to be integer, (x-1) must be a factor of 6 (6 must be divisible by x-1 with 0 remainder).

and integer includes negative numbers too.

the factors of 6 are therefore

1, 2, 3, 6, -1, -2, -3, -6

so, b can be 6/±1 = ±6

b can be 6/±2 = ±3

b can be 6/±3 = ±2

b can be 6/±6 = ±1

so, all possible values for b are also the listed factors of 6 :

-6, -3, -2, -1, 1, 2, 3, 6

5 0

2 years ago

Solve the initial value problem y′+y=f(t),y(0)=0 where f(t)={1,−1, if t<4 if t≥4 Use h(t−a) for the Heaviside function shifte

Anton [14]

Looks like the function on the right hand side is

$f(t)=\begin{cases}1&\text{for }t$

We can write it in terms of the Heaviside function,

$h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}$

$f(t)=h(t)-2h(t-4)$

Now for the ODE: take the Laplace transform of both sides:

$y'(t)+y(t)=f(t)$

$\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s$

Solve for Y(s), then take the inverse transform to solve for y(t):

$(s+1)Y(s)=\dfrac{1-e^{-4s}}s$

$Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}$

$Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)$

$Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}$

$\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)$

$\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}$

4 0

3 years ago

Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.

andreyandreev [35.5K]

Answer:

The correct option is A:

A) Time of flight = 7 hours 5 minutes

Step-by-step explanation:

For eastern time zone, t = 12:00 pm

Then, pacific time zone , t = 9:00 am

Which means the pacific time lags 3 hours to eastern time

Time of departure = 9:15 am (eastern time)

TIme of arrival = 1:20 pm (pacific time)

Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.

Converting both in pacific time zone.

Time of arrival = 1:20 pm (pacific time)

Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)

Time of departure = 6:15am (pacific time)

Time of flight = Time of arrival - Time of departure

Time of flight = 1:20pm - 6:15am

Time of flight = 7 hours 5 minutes

4 0

3 years ago

Question 4 (2 points)

bekas [8.4K]

Answer:

Step-by-step explanation: 64646464-444

4 0

3 years ago

What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = ft

Mandarinka [93]

Answer:

X: 13.3 feet

Step-by-step explanation:

Acute Scalene Triangle

Side N = 13.28283

Side P = 9.35004

Side M = 15

Angle ∠N = 61° = 1.06465 rad

Angle ∠P = 38° = 0.66323 rad

Angle ∠M = 81° = 1.41372 rad = 9/20π

3 0

2 years ago

Find the measure of each angle​

Find the measure of each angle