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
Ghella [55]
3 years ago
13

Find a possible solution to the equation sin(3x+13)=cos(4x)

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0
Recall that sine and cosine are co-functions. That means they satisfy the equation

\sin x = \cos(90-x)

For example, sin 30° = cos 60°. Now, using this property, we have

\sin(3x + 13) = \cos[90 - (3x + 13)]

As can be seen from the equation provided, it shows that sin(3x + 13) = cos(4x). This means that the left-hand side of the equations are equivalent. Thus, we have

90 - (3x + 13) = 4x
90 - 3x - 13 = 4x
77 = 7x
x = 11

We now have the value of x. We can also check if we got the right answer by substituting the value into the original equation.

Answer: 11
You might be interested in
Yuki bought a pound of confetti for $ 12 $12dollar sign, 12. What is the price, in dollars, per ounce of confetti? There are 16
Zina [86]

We have been given that bought a pound of confetti for $12. We are asked to find price per ounce of confetti.

We know that 1 pound equals 16 ounces. To find cost of per ounce confetti, we will divide total cost by 16 as:

\text{Cost of per ounce confetti}=\frac{\$12}{16}

\text{Cost of per ounce confetti}=\frac{\$3}{4}

\text{Cost of per ounce confetti}=\$0.75

Therefore, the cost of per ounce confetti is $0.75

7 0
3 years ago
What is the length of the hypotenuse of the triangle?
Roman55 [17]

Answer:

StartRoot 58 EndRoot cm

THE ANSWER IS D

Step-by-step explanation:

6 0
2 years ago
Four balls of wool will make 8 knitted caps. How many balls of wool will Malcolm need if he wants to make 6 caps
netineya [11]
He would only need 3 because
Knitted Caps=2
so that means
4(2) Knitted caps=8
3(2) knitted caps = 6
7 0
3 years ago
Which figure is a counterexample to the following statement?
Artemon [7]

The correct option is D.

Option A. isn't even about quadrilater, so we can immediately discard it.

Option B. statement is true, but has nothing to do with the point of the question. In fact, it is true that every square is in particular a rectangle, but in turn every rectangle is a parallelogram. So, there's no counterexample here

Option C. is false, because a dart is a parallelogram: both of its opposite sides are parallel.

Option D. finally presents a counterexample. In fact, The two bases of a trapezoid are parallel, but the two other sides are not. So, a trapezoid is not a parallelogram, even though it has a pair of parallel sides. This is way, in order to be a parallelogram, it is necessary for the quadrilateral to have two pairs of parallel sides.

4 0
3 years ago
The sum of three consecutive even numbers is 96. What is the smallest of the three numbers
lidiya [134]
The answer is 30.

First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.


This may help:

96/3=32

32 + 32 + 32 = 96
(32-2)+(32+0)+(32+2)=96
30+32+34=93
8 0
3 years ago
Other questions:
  • Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x
    5·1 answer
  • 74 meters long and 45 meters wide what is the area of the land
    6·2 answers
  • travis had a birthday party invited 9 friends he had 360 baseball cards how many baseball cards did each friend have if he gave
    12·1 answer
  • I need help on this problem. It is about absolute values, so here is the question:
    11·1 answer
  • 8. A rectangle has a width of 5 inches and a length of 7 inches. If
    6·1 answer
  • Describe the pictures below​
    7·1 answer
  • A={the letters of the word ,HIPPOPOTAMUS}​
    13·2 answers
  • The lengths of the sides of a triangle are 10, 24, 26. Classify the triangle as acute, right, or obtuse.
    8·1 answer
  • What was the original price of a bookshelf whose sales price is $16
    10·1 answer
  • 2. A company determines that the monthly cost in pesos to produce a certain model of a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!