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
Arada [10]
2 years ago
5

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?

Mathematics
2 answers:
Dafna11 [192]2 years ago
5 0

Answer:

<em>x=35°</em>

Step-by-step explanation:

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.

andriy [413]2 years ago
3 0

we can change cos to sin by saying cosx=sin(90-x)

now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)

90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)

-x-x=20-90+k.360........kEZ

-2x=-70+k.360.........kEZ

divide all terms by -2

x=35-k.180.......kEZ

You might be interested in
Which of the following types of waves can move through water but cannot move through a vacuum where there is no matter?
Vikki [24]
B is your answer!

Hope I helped!

Contact me for more!

FLVS teacher,
 ~Amber Fish

7 0
3 years ago
Read 2 more answers
Which is greater: inches in a mile or seconds in a day? Show how you know.​
MrMuchimi

Assuming you don't know the exact numbers, we can sequentially figure out the number of inches in a mile and seconds in a day

Inches in a mile:

There are 5280 feet in a mile.

5280*12 = 63360 inches in a mile

Seconds in a day:

There are 24 hours in a day

There are 24*60 = 1440 minutes in a day

There are 1440*60 = 86400 seconds in a day

There are more seconds in a day than inches in a mile.

4 0
3 years ago
2a^2 + -1(2-a)+3b ; a = 5 , b = 0
Andreas93 [3]
The answer is 53
——————————-
8 0
2 years ago
Read 2 more answers
All the cubes below have a different image on each side.
-BARSIC- [3]

Answer:

  • <u>Figure G</u>

Explanation:

The figure labeled A cannot be because the cross and the line are not oriented in  the same relative position as in X.

The figure labeled B cannot be because the line and the the image with the three lines are not oriented in the same relative position as in X.

You cannot tell about the figures labeled C because you do not see the images of the cross and the line.

The figure labeled E cannot be because the image with the three lines is not oriented in the same relative positiion with respect to the other two as in X.

You cannot tell about the figure labeled F because the image of the cross and with the three lines are not shown.

The figure labeled G is correct: you can just rotate the cube labeled X 90 degrees counterclockwise about a vertical axis that passes through the center of the cube and get the cube labeled G.

3 0
3 years ago
150 students were surveyed on how many text messages to send in a date for different devices. let X represent the number of stud
kakasveta [241]

Given that the total number of students that sent messages = 150 students

a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.

\begin{gathered} 75+x+3x+x=150 \\ x+3x+x=150-75 \\ 5x=75 \end{gathered}

Hence, the equation is

5x=75

b) Solving for x

\begin{gathered} 5x=75 \\ x=\frac{75}{5}=15 \\ \therefore x=15 \end{gathered}

Therefore, x = 15.

c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students

The total number of students that sent messages = 150students

The formula for probability is,

\text{Probability = }\frac{\text{Number of students that uses cell phone}}{\text{Total number of students}}

Hence,

P(\text{Number of students that uses cell phone)}=\frac{90}{150}=\frac{3}{5}

Therefore, the probability that a randomly chosen student uses their cell phone to send text messages ​is 3/5.

7 0
1 year ago
Other questions:
  • Given that Triangle ABC such that<br>a=8cm, b=7cm and c=9cm<br>tem and c= 9cm find Cos B​
    8·1 answer
  • Rewrite in simplest form. 5x3 + 5x2 - 3x - 3x2
    12·1 answer
  • Which ordered pair is a solution to the system of inequalities?<br> y&lt; 3x<br> y&lt; 5
    13·2 answers
  • Jessie has n dollars in his bank account . he deposits $132 . write an expression that represents the total amount Jessie now ha
    6·1 answer
  • Write a whole number and a fraction greater than 1 to name the part filled. Think: 1 container =1
    14·1 answer
  • A candy store makes a 13–pound mixture of gummy bears, jelly beans, and gobstoppers. The cost of gummy bears is $1.00 per pound,
    9·2 answers
  • Match the expressions to their corresponding Locations
    14·1 answer
  • Question 2<br> What is the y-intercept in the equation y = 4x - 3?<br> 4<br> 0<br> 3
    7·1 answer
  • Which linear equation has a negative slope? А y = 6 в у= y = – 50 y = 2x + 5​
    5·2 answers
  • Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!