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
timurjin [86]
3 years ago
11

What is the solution for the equation sinx=cosx?

Mathematics
1 answer:
viva [34]3 years ago
4 0
Complementary angles their sin and cos equal
Thus,
x+x=90
2x=90
x=45 degrees
You might be interested in
Consider the two data sets below:
alina1380 [7]

Answer:

<u><em>Option c) The data sets will have the same values of their interquartile range.</em></u>

<u><em></em></u>

Explanation:

<u>1. The values are in order: </u>they are in increasing oder, from lowest to highest value.

<u>2. Calculate the interquartile range.</u>

<em />

<em>Interquartile range</em>, IQR, is the third quartile, Q3, less the first quartile Q1:

  • IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

<u>Data Set 1</u>: 19, 25, 35, 38, 41, 49, 50, 52, 59

             [19, 25, 35, 38],  41,  [49, 50, 52, 59]

                                         ↑

                                     median = 41

   

<u>Data Set 2</u>: 19, 25, 35, 38, 41, 49, 50, 52, 99

             [19, 25, 35, 38] , 41,  [49, 50, 52, 99]

                                         ↑

                                      median = 41

Now find the median of each subset: the values below the median and the values above the median.

Data set 1: <u>First quartile</u>

                [19, 25, 35, 38],

                            ↑

                           Q1 = [25 + 35] / 2 = 30

                   <u>Third quartile</u>

                   [49, 50, 52, 59]

                                ↑

                                Q3 = [50 + 52] / 2 = 51

                     IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: <u> First quartile</u>

                   [19, 25, 35, 38]

                               ↑

                               Q1 = [25 + 35] / 2= 30

                  <u>Third quartile</u>

                   [49, 50, 52, 99]

                                ↑

                                Q3 = [52 + 50]/2 = 51

                   IQR = 51 - 30 = 21

Thus, it is shown that the data sets have will have the same values for the interquartile range: IQR = 21. (option c)

This happens because replacing one extreme value (in this case the maximum value) by other extreme value does not affect the median.

<em>An outlier will change the range</em> because the range is the maximum value less the minimum value.

5 0
2 years ago
The expression below is scientific notation forwhat number? 4.29*10^-5
notsponge [240]
.00429
I believe this is right! Have a good day!

3 0
3 years ago
One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?
Damm [24]
An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.
40^\circ + 40^\circ +x = 180^\circ \\&#10;80^\circ + x=180^\circ \\&#10;x=180^\circ - 80^\circ \\&#10;x=100^\circ
The other two angles are 40° and 100°.
5 0
3 years ago
Read 2 more answers
If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Jlenok [28]

Answer:

Value of b = \frac{5}{4} =1.25.

Step-by-step explanation:

Direct Variation states that a relationship  between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,  

a \propto b then it is of the form

a = kb     ;where k is constant variation.  

Given: a varies directly as b;

then, by definition of direct variation;

we have;

a = kb             .....[1]

Substitute the value of a =28 and b =7 to solve for k;

28 = k(7)

Divide both sides by 7 we have;

\frac{28}{7}=\frac{7k}{7}

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

5=(4)b

Divide by 4 to both sides we get;

b =\frac{5}{4}

Therefore, the value of b = \frac{5}{4} =1.25



4 0
2 years ago
Read 2 more answers
QUESTION 1<br> Given the equation of the circle (x + 7) + (y – 5) 2 = 64, identify the center.
o-na [289]

Answer:

center=(-7,5)

Step-by-step explanation:

The center form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k).

you can find center by making equal to zero each term, then:

x+7 = 0

x=-7

y-5 = 0

y=5

then the center is (-7,5).

6 0
2 years ago
Other questions:
  • What is 7 billion in standard form?
    9·2 answers
  • If x-2 is a factor of x^2+3x+k, what is the value of k?
    6·1 answer
  • In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount?
    15·1 answer
  • Help help please.....Thanks
    6·1 answer
  • What is transferred by a water wave ?
    9·2 answers
  • HEY PLEASE HELP I AM STRUGGLING!!
    14·1 answer
  • What is the expression for the calculation triple 4 and then add 7 times 7
    15·2 answers
  • Do the table and the equation represent the<br> same function?<br> y = 390 + 11(x)
    9·1 answer
  • Given the function y = 2x - 4, what is the value of y if x is -3?
    15·1 answer
  • How to write a relative frequency
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!