answer.
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
frosja888 [35]
2 years ago
7

If sin(2x + 7) = cos(4x - 7)º, what is the value of x?​

Mathematics
1 answer:
ella [17]2 years ago
6 0

Answer:

x = 15°

Step-by-step explanation:

<u>We are given;</u>

sin(2x + 7) = cos(4x - 7)

We are required to solve for the value of x

  • We need to know that for complementary angles;

Sin θ = Cos (90-θ) where, θ  and 90-θ are complementary angles.

  • Complementary angles are angles that add to 90°
  • Therefore;

(2x +7) + (4x - 7) = 90

 6x = 90

   x = 15°

Therefore, the value of x is 15°

You might be interested in
Shaniqua has $45 in her wallet. She spends $4 on snacks and $8 on a movie ticket. What integer represents the change in the amou
Ivenika [448]

Answer:33 left :)

Step-by-step explanation:

8 0
2 years ago
Findtheequationoftheaxisofsymmetryfortheparabolay = x2 + 4. Simplify any numbers and write them as proper fractions, improper fr
Misha Larkins [42]
Us 2(x+2)


Factor out from the expression
4 0
1 year ago
Read 2 more answers
At present the sum of Monica's age and daughter's age is 44 years. . After 2 years Monica's age will be three times that if her
sergeinik [125]

Answer:

Monica's age = 34 years

Her daughter's age = 10 years

Step-by-step explanation:

Let Monica's age = x

Let her daughter'sage = y

x + y = 44   -------> equ 1

After 2 years:

Monica's age = x + 2

Her daughter's age = y + 2

x + 2 = 3 * (y+2)

x + 2 = 3y + 6

      x = 3y + 6 -2

      x = 3y + 4

Put x value in equ 1:

    3y + 4 + y = 44

            4y = 44 - 4

             4y = 40

               y = 40/4

               y = 10

x = 44 -10

x = 34

7 0
2 years ago
Read 2 more answers
A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to
Lunna [17]
Tree...........................dock
.
.
.
.
.
boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000  (get square root of each)
b = 223.606  (rounded to the nearest tenth.... = 223.6



4 0
2 years ago
Read 2 more answers
Rewrite the expression using Distributive Property, then simplify<br><br> -1(x-9)+4x
pentagon [3]
First ask yourselfhat needs to be dristributed.
That would be -1 (x-9)
To distribute you have to multiply the number out side of the parentheses (-1) by each term inside the parentheses( x and -9)
-1×x=-x
-1×-9=9
Now the expression is
-x+9+4x
To simplify you have to combine like terms (4x and-x)
4x-x=3x
Your answer is 9+3x or 3(3+x).
5 0
2 years ago
Other questions:
  • Last Month the electric meter reading was 7985 kWh. This month the reading was 8328 kWh. If electricity costs P3.40 per kWh,how
    12·2 answers
  • Fahi's age is 3/4 of Mia's age. The sum of their ages is 91. How much older is Mia than Fahi. Please give and equation and answe
    6·1 answer
  • My car travels 30km for every liter of fuel i put in. A liter of fuel costs $1.25. How far can I drive for $12.50?
    13·1 answer
  • 5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the re
    15·1 answer
  • A semicircular flower bed has a diameter of 3 metres.
    8·2 answers
  • Below are monthly rents paid by 30 students who live off campus. 730 730 730 930 700 570 690 1,030 740 620 720 670 560 740 650 6
    12·1 answer
  • The ratio of boys to girls in Mr. Johnson's after-school club is the same as the ratio of boys to girls in Ms. Greene's after-sc
    8·2 answers
  • Mobile people moving company increased its number of employees from 22 to 27 what is the percent increase round to the nearest t
    9·1 answer
  • About 180,000 people live in a 5-mile radius of a city's town hall. Find the population density in people per square mile. Round
    6·1 answer
  • You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!