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
Nina [5.8K]
2 years ago
14

1. Given right triangle ABC with the right angle C and sin A = 1/3, which is of the following expression is also equal to 1/3?

Mathematics
1 answer:
Fynjy0 [20]2 years ago
4 0

Answer:

1) B

2) About 5°.

Step-by-step explanation:

1)

We can use the following co-function identity:

\sin(\theta)=\cos(90-\theta)

Substitute A for θ:

\sin(A)=\cos(90-A)

Since we know that sin(A) is 1/3, this means that cos(90-A) must also be 1/3.

So, our answer is B.

2)

Refer to the drawing.

Remember that 1-inch rise is a height of 1 while a 12 inch length is a length of 12.

So, to find the maximum ramp angle, we simply need to find the value of x.

We know the sides opposite and adjacent to x. So, we can use tangent:

\tan(x)=\text{opp}/\text{adj}

Substitute 1 for the opposite side and 12 for the adjacent side:

\tan(x)=1/12

Take the inverse tangent of both sides:

x=\tan^{-1}(1/12)

Use a calculator. Make sure you're in Degrees mode:

x\approx4.76\textdegree\approx5\textdegree

So, the maximum ramp angle should be about 5°

You might be interested in
The art museum had a total of 22for visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or you
Firlakuza [10]

Answer:

42 im pretty sure

Step-by-step explanation:

4 0
3 years ago
What is the smallest six-digit number you can make that is divisible by five ​
Crank

it's 100000

hope this helps!! :)

3 0
2 years ago
What is g(x)?
Vera_Pavlovna [14]

C

Step-by-step explanation:

This has a U like shape so it a parabola.

Parabola correlate with quadratic functions

y =  {ax}^{2}  + bx + c

Since it Going down, the answer is C -x^2.

3 0
2 years ago
Which graph shows the solution to this system of inequalities?<br> y&gt;-1/3x+1<br> y&gt;2x-3
Mademuasel [1]

Given:

The system of inequalities is:

y>-\dfrac{1}{3}x+1

y>2x-3

To find:

The graph of the given system of inequalities.

Solution:

We have,

y>-\dfrac{1}{3}x+1

y>2x-3

The related equations are:

y=-\dfrac{1}{3}x+1

y=2x-3

Table of values for the given equations is:

    x                   y=-\dfrac{1}{3}x+1             y=2x-3

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of y=-\dfrac{1}{3}x+1.

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

6 0
2 years ago
1 Are these similar triangles? ​
garik1379 [7]

Answer:

NOPE

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is the slope of th line that contains the points (-1, 8) and (5, -4)
    11·2 answers
  • What is the answer for T/6-14=-20 ?
    10·1 answer
  • Plz answer both if you can
    11·1 answer
  • Why are the people who delete questions such A H O L E S
    9·1 answer
  • Can you help me get the answer <br>please
    15·1 answer
  • If l is parallel to m, find the value of each missing variable.
    7·1 answer
  • Solve the system of equations below algebraically 2x-3y=8 4x+2y= 10
    11·1 answer
  • X 5.2.19
    13·1 answer
  • What is the simplified expression for 2(x-5)?<br> A. 2x<br> B. - 108<br> C. 2x-10<br> D. 2x+5
    7·2 answers
  • What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!