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
NemiM [27]
3 years ago
6

If r=10 and s=31, find R. Round to the nearest tenth.

Mathematics
2 answers:
mars1129 [50]3 years ago
5 0

Answer:

C. R = 17.9 degrees

Step-by-step explanation:

We have a rectangle triangle with the adjacent side and the opposite side (neither of which are the hypotenuse).

The relation between those elements is the tangent:

tan(angle) = \frac{Opposite side}{Adjacent side}

So, to isolate the angle, we modify the formula as such:

angle = arctan(\frac{Opposite side}{Adjacent side}) = arctan(\frac{10}{31}) = arctan(0.3225) = 17.87

If we round 17.87 degrees to the tenth... we get 17.9 degrees.

Makovka662 [10]3 years ago
3 0

Answer:

The correct answer is option c.  17.9°

Step-by-step explanation:

From the figure we can see that a right angled triangle RST.

Right angled at T

<u>To find the value of R </u>

It is given that,

r=10 and s=31

Tan R = Opposite side/Adjacent side

Tan R = ST/SR = r/s = 10/31 = 0.3225

R = Tan⁻¹(0.3225) = 17.87 ≈  17.9°

Therefore the correct answer is option c.  17.9°

You might be interested in
Find the length of a square with an area of 169 in2.
mrs_skeptik [129]

Find the length of a side of a square with an area of 169 in^2.

Answer:

D. 13 in

Step-by-step explanation:

A square has sides of equal length.

A = L^2 where:  A = area  and  L = side

L^2 = 169

L=√169

L=13 in^2.    

6 0
3 years ago
Plz help don’t understand
saul85 [17]

Answer:

Step-by-step explanation:

every time x goes up 1,  y goes up 4  

x = 3  minus x = 2  is a delta (a change of 1)

x = 4  minus x = 3  is a delta (a change of 1)

x = 5  minus x = 4  is a delta (a change of 1)

       the delta x is ALWAYS 1 for this table you can always substract x's to find the delta     delta is symbolized by Δ      Δx  for the delta x

y = 7  minus y = 3  is a delta (a change of 4)

y = 11  minus y = 7  is a delta (a change of 4)

y = 15  minus y = 11  is a delta (a change of 4)

    the delta y is ALWAYS 4 for this table you can always substract y's to find the delta     delta is symbolized by Δ     Δy  for the delta y

the slope m = Δy / Δx      m = 4 / 1     m = 4

     y = mx + b             when x = 0    then  y = b   (called the y intercept)

so how do we find the y intercept?    

look at the pattern in the TABLE  Δx  and Δy

   when x = 1    y = (3 - 4)  = -1

             x = 0    y =( -1 - 4)   = -5

so       y = 4x - 5     is a line equation for the data in this table

                                I believe there are other forms for linear equations

                               I chose the y-intercept form

use the point slope equation

       (y - y1)  =  m(x - x1)            where (x1, y1)  are the coordinates of a point on  

                                                the line

       when you know the slope of the line and a point on the line

       as before

       m = (y2 - y1)  / (x2 - x1)          from the table

           = (7 - 3) / (3 - 2)                 still equals

           = 4/1  =  4        

        pick a point on the line    say x= 4 and y = 11    (4, 11)

       (y - y1)  =  m(x - x1)    

        y - 11   =   4(x - 4)              point slope form

         solving point slope form  for  y

        y  - 11  =   4x - 16               add 11 to both sides    

           y  =  4x - 5                    back to the y-intercept form

7 0
3 years ago
...............................
valkas [14]
I believe it’s 7/10
3 0
3 years ago
If you are going 200 miles per hour how much are you going per minute
Lapatulllka [165]

1 hour has 60 minutes.

Divide miles per hour by 60 to get miles per minute:

200 / 60 = 3.33 ( 3 1/3 ) miles per minute.

8 0
2 years ago
Read 2 more answers
What is the best approximation for the value of √140?
laila [671]

Answer:

the best approximation is 2√35

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Can anyone help me ? Which ones do I click ?
    8·1 answer
  • Samuel recorded the number of different types of pets his friends have in the table shown below: Cats 5 Dogs 3 Rabbits 1 Guinea
    8·1 answer
  • If you dissolve 50g of sugar in 30g of water (is it possible!) what would be the sugar concentration?
    12·1 answer
  • A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are two sheets. Repeat so that
    10·1 answer
  • If the simple interest on ​$1,000 for 5 years is ​$300​, then what is the interest​ rate?
    9·1 answer
  • The regular price of a watch is $28.25. During a sale, the watch was marked 12% off. What was the price of the watch during the
    15·2 answers
  • How many terms are there?<br> Problem: 3xyz + 4- b
    8·2 answers
  • Divide: 2 ÷ 1/2<br><br>A. 2<br><br>B. 16<br><br>C. 8<br><br>D. 4​
    13·1 answer
  • Given the following system of equations, identify the type of system.
    10·2 answers
  • Construct the confidence interval for the population mean. c=. 95 x=6. 4 o=. 3 and n=42.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!