1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
neonofarm [45]
3 years ago
10

An angle in standard position measures 5pie/8 radians.

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

Step-by-step explanation:

It's easier to convert the angle into degrees.

5π/8 ≅ 112.5°, which is in quadrant II

You might be interested in
Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3​
maria [59]

Answer:

  (x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

  (2/x +1/y) -2(1/x -5/y) = (3) -2(7)

  11/y = -11 . . . . simplify

  y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

  2/x +1/-1 = 3

  2/x = 4 . . . . . . . add 1

  x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

<em>Additional comment</em>

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

6 0
2 years ago
Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
2 years ago
he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution
o-na [289]

Answer:

The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

Step-by-step explanation:

Mean = \mu = 3.25 inches

Standard deviation = \sigma = 0.15 inches

We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

P(Z \geq 3.5)=1-P(z

Refer the z table for p value

P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525

Hence  the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

7 0
3 years ago
I exercise for hour an half everyday.how many minutes in total do i exercise for 5 days
LenaWriter [7]

Answer:

450 minutes

Step-by-step explanation:

1 hour and a half = 90 minutes in one day

90 (minutes) × 5 (days) = 450 minutes

6 0
3 years ago
I don’t know how to solve it I know the answer is 106 but I don’t know how to solve it
saw5 [17]
You have to solve it
7 0
3 years ago
Other questions:
  • Can someone help explain how to work this out.
    10·1 answer
  • A zoo charges $8 per person for admission. An annual family pass costs $130. How many times does a family of five have to visit
    7·1 answer
  • Let w(s,t)=f(u(s,t),v(s,t)) where u(1,0)=−6,∂u∂s(1,0)=5,∂u∂1(1,0)=7 v(1,0)=−8,∂v∂s(1,0)=−8,∂v∂t(1,0)=6 ∂f∂u(−6,−8)=−1,∂f∂v(−6,−8
    5·1 answer
  • Find the perimeter of the polygon with the vertices U(−2, 4), V(3, 4),U(−2, 4), V(3, 4), and W(3,−4)W(3,−4).
    9·1 answer
  • Stephanie has pennies, nickels, dimes, and quarters in her piggy bank. The total value of the coins is 0.01(n + 10) + 0.05n + 0.
    9·1 answer
  • Any help would be appreciated
    12·1 answer
  • This is a geometry I question please explain your answer ty
    13·1 answer
  • Alexandra finished 3/5th of her work. What percentage of work did she complete?
    14·1 answer
  • Can Anybody Help me?
    12·1 answer
  • What is 3 1/2 ??? i need help asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!