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
Komok [63]
3 years ago
10

Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypo

tenuse.
What is the Sine of angle A?
3/4
4/3
3/5
4/5

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0
Hello Abbigailallred, <span>Sine: the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse. What is the Sine of angle A, 4/5.

</span>
You might be interested in
Show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. (Gi
Reptile [31]

Answer:

  angle of intersection: 5.2°

Step-by-step explanation:

The direction vector normal to the plane is ...

  n = (1, 1, 3)

The direction vector of the line is ...

  m = (1, -3, 1)

Then the angle θ between them can be found from the dot product:

  n•m = |n|·|m|·cos(θ)

  (1·1 +1(-3) +3·1) = 1 -3 +3 = 1 = √(1²+1²+3²)·√(1²+(-3)²+1²)·cos(θ)

  1 = 11·cos(θ)

  θ = arccos(1/11) ≈ 84.8°

This is the angle between the line and the normal to the plane, so the angle between the line and the plane will be the complement of this. Since this angle is not 90°, <em>the line and plane must intersect</em>.

  acute angle = 90° -84.8° = 5.2°

_____

The attached graph shows the line and plane meet at a shallow angle, consistent with the above answer.

8 0
3 years ago
A data value is considered​ _______ if its​ z-score is less than minus2 or greater than 2.
elena-14-01-66 [18.8K]

Answer:

Unusual

Step-by-step explanation:

we know that

The z-score is a measure of how close the given data point is to the mean of the values given with the standard deviation

so

if its z-score is greater than or equal to -2, or less than or equal to 2., then the data value is considered ordinary

if its z-score is less than -2 or greater than 2, then the data value is considered unusual

5 0
3 years ago
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.6-12.1}{0.3}

z=-1.67

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

z=1.67

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence  the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than  alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

3 0
3 years ago
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management
dexar [7]

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

6 0
3 years ago
Pls help will give brainilist
omeli [17]

Answer: use search website

Step-by-step explanation: its good

7 0
2 years ago
Other questions:
  • CJ will use 3 bags of cement for his project. Each bag of cement needs gallons of water added to it.
    15·1 answer
  • Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
    9·1 answer
  • What characteristics of a business letter differ from a friendly letter? Check three that apply.
    12·1 answer
  • What was the average speed in km/h of:
    9·1 answer
  • Find the unit price rounded to the nearest cent: 8.2 lbs for $6.24.
    8·1 answer
  • I need help on this mathematical equation B is the Midpoint of AC.
    6·2 answers
  • (04.04)
    5·2 answers
  • Which shows the ratio 12:18 in simplest form?
    5·1 answer
  • 4y/5 - 14/15 = 3/4<br><br> The answer is 2, how?
    10·1 answer
  • Is 3/64 rational or irrational?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!