Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.
What are complementary angles?Complementary angles are two angles whose measures add to 90º.
If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:
[tex]\sin{a} = \cos{b}[/tex]
In this problem, the equation is:
[tex]\sin{(2x)} = \cos{(x + 30)}[/tex]
Hence, they are complementary, which means that:
[tex]2x + x + 30 = 90[/tex]
[tex]3x = 60[/tex]
[tex]x = \frac{60}{3}[/tex]
[tex]x = 20[/tex]
The solution to the trigonometric equation is of x = 20.
More can be learned about complementary angles at https://brainly.com/question/11161460
the midpoint of the segment as an ordered pair (-6,-5) (-2,1)
Answer:
(-4, -2)
Step-by-step explanation:
(-6, -5) (-2, 1)
-
N Solve for x. Solve for x
The sum of the angles of the triangle is 180 degrees, so:
(x + 70) + 76 + 41 = 180
(x + 70) + 117 = 180
x + 70 = 63
x = -7
Hope that helps!
Answer:
Step-by-step explanation: hope this helped
Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1) as shown.
On a coordinate plane, 2 lines intersect at (negative 4, 1).
What can Lucy conclude?
(–4, 1) is a solution to the system of linear equations.
(–1, 4) is a solution to the system of linear equations.
(1, –4) is a solution to the system of linear equations.
(4, –1) is a solution to the system of linear equations.
Answer: A
Step-by-step explanation:
You can solve a system of equations by graphing, elimination, substitution, or using a combination. The graph of a linear equation is a line. The point(s) where one line intersects another is the solution to the system. Therefore, since Lucy found that the lines intersected at the point (-4, 1), it is the solution to the system of linear equations
Answer:
a
Step-by-step explanation:
(–4, 1) is a solution to the system of linear equations.
PLEASE HELP ALGEBRA 1
All of the graphs are color coded and matched
Kylie works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.
What is the probability that the first CD that Kylie pulls from the box will NOT be hip hop?
Group of answer choices
40%
60%
57%
20%
Answer:
60%
Step-by-step explanation:
10+12+5+3= 30
10+5+3=18
18 out of 30 is 60%
If the area of square
A is 225 f12 and the
area of square B is 400
ft2, what is the area of
square C?
Answer:
Step-by-step explanation:
Square A:
Area = 225 square feet
side *side = 225
Side =√225
[tex]=\sqrt{15*15}[/tex]
Side of square A = 15 ft
Square B:
Area = 400 square feet
Side =√400
= [tex]\sqrt{20*20}[/tex]
Side of square B = 20 ft
Use Pythagorean theorem for finding the side of Square C.
Side of square A is the altitude ; side of square B is the base and side of square C will be the hypotenuse
hypotenuse² = base² + altitude²
= 15² + 20²
= 225 + 400
= 625
hypotenuse = [tex]\sqrt{625} =\sqrt{25*25}[/tex] = 25 ft
Area of square C = 625 square ft
In short,
Area of square C = area of square B + area of square A
= 400 + 225
= 625 square ft
Which fraction is equivalent to negative 2 over 3? please hurry
Answer:
Here are some in the picture
Step-by-step explanation:
Answer:
is -3 because 2-3 is not possible
(5, 8, 17) whether the following triplets are Pythagorean or not?
Answer:
No.
Step-by-step explanation:
Pythagorean Thereom is a square plus b square = c square
25 + 64 is not equal to 289.
Using the pythagorean theorem we have :
[tex]a^{2} + b^{2} = c^{2}[/tex] (assuming a < b < c)
Replace the number, we have :
[tex]5^{2} + 8^{2} = 17^{2}[/tex]
[tex]25 + 64 = 289[/tex] (not true)
So, this triplet is not available for the pythagorean.
Three friends play a game. Jamila has 43
more points than Carter. Carter has 7
points than Aisha. Jamila has 26 points. Write
more
and solve an equation to find the number of
points Aisha has. Show your work.
Answer:
I am solving this Question since morning but I haven't got the answer yet
What is the product of
4/8 x 1/5
? Give the answer in the simplest form.
Answer:
1/10
hope this helps you:)
Can someone help me with these two!!!
Answer:
1. is 130 times taller
2. is 0.756 kilograms
Step-by-step explanation:
for 1, you divide 65 by 0.5 or multiply it by 1/2
for 2, you divide 756 by 1000
What is the constant of proportionality in this proportional relationship?
If the sum of two angles is 90°, then they are called ________ but if their sum is 180°, then they are called ____________
sum of 2 angle is 90=complementary angle
supplementary angle
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 10 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Which boxes have a volume of 120 cubic feet? (4 points)
Box A: length of 5 ft, width of 4 ft, height of 6 ft
Box B: length of 7 ft, width of 7 ft, height of 6 ft
Box C: length of 3 ft, width of 6 ft, height of 4 ft
Box D: length of 10 ft, width of 3 ft, height of 4 ft
А, В
A, D
В, С
B, D
Answer:
A,D
Step-by-step explanation:
5x4x6=120
10x3x4=120
Answer:
A, D
Step-by-step explanation:
5 x 4 = 20 x 6 = 120
10 x 3 = 30 x 4 = 120
Therefor, A and D both equal 120 ft.
A commuter train travels 55 kilometers in 42 minutes. What is its speed in kilometers per hour?
Answer:
about 78.57 miles per hour
Step-by-step explanation:
take 55 kilometers and divide by 42 minutes.
55/42= 1.309
so 1.309 kilometers per minute
then times by 60 minutes to make one hour
1.309×60=78.57
What is the area of this plane figure?
45 square centimeters
50 square centimeters
65 square centimeters
90 square centimeters
Answer:
it would be nice if I could see it
10 points answer fast!
Answer:
woven blanket
Step-by-step explanation:
The artifact with the lowest elevation would be the artifact that was found in the least amount of feet, most likely being negative.
Thus, given the information above, we can conclude that the answer is woven blanket because it was found at -977 feet, and no other artifacts in the table were found any lower.
Answer:
the question is answered ............
A student attempted to generate an equivalent expression using the distributive property, as shown below: 5(x − 1) = 5x − 1 What was the mistake made? (1 point) 5 was not multiplied by x Incorrect sign was used for the first term 5 was not multiplied by −1 Incorrect sign was used for the second term
Answer:
5 was not multiplied by -1
Find the measure of
I think it is 20 degree but I don't think am correct but a straight line have 180 degrees
I need help with this.
Step-by-step explanation:
The chromatic number of a graph is the smallest number of colors needed to color the vertices of so that no two adjacent vertices share the same color (Skiena 1990, p. 210), i.e., the smallest value of. possible to obtain a k-coloring. Minimal colorings and chromatic numbers for a sample of graphs are illustrated above ...
/0.5
Write each step used to solve the equation 9 = –4x – 3.
WRITE THE NAME OF THE PROPERTY THAT IS SHOWN NEXT TO EACH STEP.
[tex]9 = -4x - 3\\9+3 = -4x\\-4x = 9 + 3\\-4x = 12\\x = \frac{12}{-4}\\ x = -3[/tex]
Hope that helped!
. 75 inches or 2 yards which is bigger
Answer:
75 inches is bigger than 2 yards.
Step-by-step explanation:
One yard is 36 inches long two is 72, 75 is greater than 72.
Complete the equation so that it has infinitely many solutions.
-4n + 8 = 4n - 8n+
Answer:
see explanation
Step-by-step explanation:
for the equation to have infinite number of solutions then both sides must be the same.
left side = - 4n + 8
right side = 4n - 8n = - 4n ← require to add 8
right side = - 4n + 8
then
- 4n + 8 = - 4n + 8
which has an infinite number of solutions
What is two thirds divided by seven
Answer:
[tex]\frac{2}{21}[/tex] i think
Step-by-step explanation:
Answer:
2/21
Step-by-step explanation:
Find the odd number less than 100, that is divisible by 7, and when divided by 10 has a remainder of 3.
Answer:
63
Step-by-step explanation:
Multiples of 7 that are less than 100:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
If when a number is divided by 10 it has a remainder of 3, look for the mulitple of 7 with "3" as its units. Therefore, the number is 63.
Amelia is packing a lunch box to take to school. Amelia can make 6 kinds of sandwiches, and
there are 8 kinds of fruit in the house. There are 2 flavors of juice boxes in the refrigerator.
Assuming Amelia packs one of each item, how many different lunches can she pack?
Answer:
just six lunches, reason because she can only make 6 kinds of sandwiches.
What is the slope of the line that passes through the points (-2, 9)
and (8, 34)? Write your answer in simplest form.
Hello.
Use the slope formula:
[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\mathrm{\displaystyle\frac{34-9}{8-(-2)} }[/tex]
[tex]\mathrm{\displaystyle\frac{25}{8+2} }[/tex]
[tex]\mathrm{\displaystyle\frac{25}{10}}[/tex]
Simplify:
[tex]\mathrm{\displaystyle\frac{5}{2}}[/tex]
Therefore, the final answer is
[tex]\mathrm{\displaystyle\frac{5}2}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
[tex]\displaystyle 2\frac{1}{2} = m[/tex]
Step-by-step explanation:
Plug these ordered pairs into the rate of change formula:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-9 + 34}{2 + 8} \hookrightarrow \frac{25}{10} = 2\frac{1}{2} \\ \\ \boxed{2\frac{1}{2} = m}[/tex]
I am joyous to assist you at any time.
Find the value of $1000 deposited for 10 years in an account paying 6% annual interest compound
monthly.
Answer:
You have to use the formula for compound interest which is: A=P(1+r/n)^nt
The Givens info is:
A=?
P=1000
r= 6% = 0.06 (convert into decimal)
n=12(# of interest periods: since it is monthly n=12)
t=10
Now your formula should look like this:
A= 1000*(1+(0.06/12))^12*10
A=1000*(1.005)^120
A=1000*(1.819396734)
A=$1819.40
Step-by-step explanation:
i neeed help !!!!!!!!!!!!!!!!!!!!
Answer:
a.) 5.8 X 10^7
b.) 2.5 X 10^-3
Step-by-step explanation:
