Condense the right side a single sine expression:
sin(6x) - cos(6x) = R sin(6x - t)
Expanding the right side gives
sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)
Then we have
R cos(t) = 1
R sin(t) = 1
Solve for R and t:
(R cos(t))² + (R sin(t))² = 1² + 1²
R² = 2
R = √2
and
(R sin(t))/(R cos(t)) = 1/1
tan(t) = 1
t = arctan(1) = π/4
So we rewrite the equation as
√2 sin(6x - π/4) = √2
Solve for x :
sin(6x - π/4) = 1
6x - π/4 = arcsin(1) + 2nπ
(where n is any integer)
6x - π/4 = π/2 + 2nπ
6x = 3π/4 + 2nπ
x = π/8 + nπ/3
If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.
Answer:
Step-by-step explanation:
6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.
if angle PQR equal 15 degrees in the triangle PQR, what is the value of u?
Answer:
a.
Step-by-step explanation:
(X-7)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² - 2ab +b²
(x - 7)² =x² - 2* x * 7 + 7²
= x² - 14x + 49
a restaurant bill is $53.15. what is the estimated total cost of the bill with a
15% tip?
not a multi choice you enter a answer !
Answer: the answer is 7.95 because 15% tip on 53.15 is 7.95
Match the Definition with the Property.
Question 3 options:
Commutative Property
Symmetric Property
Transitive Property
Reflexive Property
Associative Property
1.
The order in which you add or multiply numbers does not affect the result.
2.
The way you group numbers when adding or multiplying does not affect the result.
3.
Any real number is equal to itself:
a = a
4.
Let's you switch the expressions on either side of an equation:
If a = b, then b = a
5.
If one real number is equal to a second real number, and the second real number is equal to a third real number, then the first real number must equal the third:
If a = b and b = c, then a = c
Answer:
Commutative Property
The way you group numbers when adding or multiplying does not affect the result.
Reflexive Property
he order in which you add or multiply numbers does not affect the result.
Step-by-step explanation:
Please help me please help meee
Answer:
A
Step-by-step explanation:
As it is 7 people that like blue
Find the value that makes the equation below true:
6r+7 = 13+7r
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
Evaluate the expression for x = 5:
2•(x-2)^2+5
Answer:
2•(x-2)^2+5 3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.
I hope that this helps :P (and thx for the ez pointsss)
9. The area of a rectangular fence is 300 square feet. If the width of the
fence is 15 feet, then find its length.
Answer:
20 feet
Step-by-step explanation:
The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.
Mary has saved 17.50 in the past 3 weeks. How much has she saved in one week?
Answer:
5.83 per week
Step-by-step explanation:
hope this helps
the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?
If 3x 6 = 213x plus 6 equals 21, what does x 2x plus 2 equal?.
Answer:
17
Step-by-step explanation:
hope this helped
what is the awnser to B
Using the concept of probability, the probability of rolling 2 sixes would be 1/25
From the tree diagram given :
P(6) = 1/5The probability of rolling 2 sixes can be defined thus :
P(2 6's) = P(6) × P(6)Hence,
P(2 6's) = 1/5 × 1/5 = 1/25
Hence, the probability of rolling 2 sixes is 1/25.
Learn more : https://brainly.com/question/14522818
Please help I’ll give brainylist in return thank you
2.5 is the scale dilation.
Kinda Logic
The coordinates of the end points of TU are T(2,4) and U(11,13)
Answer:
[tex]T(2,4) and U(11,13)[/tex]
Step-by-step explanation:
7. A diver dove to a location 4
a
meters below sea
level. He then dove to a second location meters
below sea level. How many meters are there
between the two locations?
Plz help me quick
Answer 1 3/5 meter below sea level
In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.
Step-by-step explanation:
Distance = 2nd location - 1st location
Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level
oletha rapples from the top of a cliff at a rate of -6 inches per second. It takes oletha 4 minutes to reach the bottom of the cliff. What is the height of the cliff in feet?
Answer:-120
Step-by-step explanation:multiply -6 by 60 seconds which it will give you -360 in inch’s and then multiply -360 into 4 and that’s -1440 and then combert them into -120
What is the first step to solve the following equation:
7x = 42
please someone help. I really need help with this question. I will give brainliest
Answer:
3/200
Step-by-step explanation:
total medicine = 9/50 liter
evenly divided into 12
so 1 prescription = 9/50 / 12
= 9/50*12
=3/50*4
=3/200
Work out the mean of √50, √18 and √8.
Give your answer in the form of a√2.
Show full working out.
Thank you!! <3
[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]
ok done. Thank to me :>
Someone pls help!
Gabby owns 35 chickens and each one produces three eggs per day. How many eggs can she collect each day?
Answer:
Well 35 chickens. Each produce 3 eggs a day. 35*3= 105
105 eggs per day
Answer:
105 eggs
Step-by-step explanation:
Number of eggs per day = number of chickens x eggs per chicken
35 x 3 = 105
105 eggs
-Chetan K
solve the proportion (someone pls help)
x=6
Step-by-step explanation:
4/3=8/6
㋡
[tex]\huge\underline\mathtt\colorbox{cyan}{As SIMPLE as that}[/tex]
A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?
Answer:
39.125 %
Step-by-step explanation:
you use the cross multiplication method:
200cm = 100%
78.25 = ???
78.25 × 100
——————— = 39.125%
200
if you are willing to check your answer:
39.125 × 200
———————–— = 78.25 cm
100
I HOPE THIS WOULD HELP!
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answer: 250=70x+50 For A
Step-by-step explanation:
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Weighted Sums and Averages: Quarterback Ratings
Use the following equation to determine quarterback ratings.
25 + 10(%COMP) + 40(%TD) - 50(%INT) + 50(YD)
OR =
12
1. Using the equation above, find the quarterback rating for Dak Prescott, Dallas Cowboys
Quarterback for 2019.
.
.
% comp 65.1
% TD 5
% Int 1.8
YD 8.2
Answer:
22
Step-by-step explanation:
Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures
Answer:
american sign language (ASL)
Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
The detailed answer is there in the image I have attached.
Hope it helps you....
Please mark as Brainlliest!!!!
Does the following relationship represent a function?
help help Please help
Answer:
Rises 1 and runs -5
Step-by-step explanation:
The slope is 1/-5