Answers
Hi there!
[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Related Questions
Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y
Answers
Answer:
x² + 11x-16y
Step-by-step explanation:
The given equation is :
[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]
It can be simplified as follows :
[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]
So, the correct option is (d) i.e. x² + 11x-16y.
write the following comparison as a ratio reduced to lowest terms.
94 hours to 8 days
Answers
Answer:
11.75:1
Step-by-step explanation:
alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:
8 ÷ 8 = 1
94 ÷ 8 = 11.75
So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answers
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
Which ordered pair represents a solution? *
A (0,2)
B (1,3)
C (3,1)
D (26)
Answers
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answers
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants
9/11 = c/55
c=???
answwedbhksjbdew
\
Answers
Answer:
C=45
if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5
multiply 9 by 5 to get 45
Step-by-step explanation:
Brainiest please!
WHATS 20-11 ANSWER OR DAII
Answers
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet
Answers
Answer:
The equation is P - 42 = 12
P = 54
Step-by-step explanation:
please answer
Step by step
Answers
Answer:
B) 20°
Step-by-step explanation:
The top half of the circle is equal to 180°...
13x + 3x + 2x = 180°
18x = 180°
x = 10°
Angle EOD is the opposite angle of 2x
2 (10) = 20°
What is 498,235 rounded to the
nearest thousands?
Answers
Answer:
498,000
Step-by-step explanation:
Will give brainless
This is due tomorrow at 12pm
Answers
Answer:
The most common rock-forming minerals are quartz, feldspar, mica, pyroxene, amphibole, and olivine. The most reliable way to identify a mineral is by using a combination of several tests. A crystal is a solid in which the atoms are arranged in repeating patterns.
In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.
Answers
Answer:
10
Step-by-step explanation:
Can't do that. I have to write some sort of explanation or the mods have a fit.
Side opposite = 5 √3
Sin(60) = √3 /2
Hypotenuse = x
Sin(60) = √3/2 = 5√3 / x
√3/2 = 5√3 / x Multiply both sides by x
x √3/2 = 5√3 Divide both sides by √3
x/2 = 5
x = 10
The hypotenuse is 10 units long.
Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0
Answers
Answer:
x=-8
x=-6
Step-by-step explanation:
Don't really know how to explain this. I never was good at completing the squares.
Hope that this helps!
Solve the formula Ax + By = C for A
Answers
Ax=C-By
A=C-By/x
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?
Answers
Answer:
43 inches
Step-by-step explanation:
What is the approximate distance between Chaplain and Asherville?
OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles
Answers
Answer:
B
Step-by-step explanation:
Remark
I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.
I'll try the cos law first.
Formula
c^2 = a^2 + b^2 - 2abcos(C)
Givens
c = 24
a = 18
b = ?
Solution
24^2 = 18^2 + b^2 - 2*18*b*cos(94)
576 = 324 + b^2 - 36*b*(-0.0698)
0 = 324 - 576 + b^2 + 2.511b
0 = b^2 + 2.511 - 252
Using the quadratic formula, the roots are
b1 = 14.66
b2 = - 17.11
The second one has no meaning in the real world.
Answer
the distance is 14.66 miles from Chaplin to Asherville
Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.
Answer:
14.7
Step-by-step explanation:
got 100% on plato
Find the slope of each line (no links I’ll report)
Answers
Answer:
Slope = ⁵/7
Step-by-step explanation:
Slope (m) = change in y / change in x
Using two points on the graph, (-4, -4) and (3, 1),
Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7
Slope (m) of the line = 5/7
Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2
Answers
Please help me Surface Area Homework
Answers
What is the solution to the equation?
19 + 13x = 32
Record your answer in the boxes
below.
00000.00
+/-
I give brainleist
Answers
Answer:
the answer is x=1
Step-by-step explanation:
minus 19 on both sides
then divide by 13 on both sides
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answers
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
Plss help mark brain list a lot of point
Answers
Answer:
arc TQ= 69° (44 + 25)
arc QR = 155° (180 - 25)
arc TS = 111° (360 - 44 - 25 - 155 - 25)
arc SQR = 335° (360 - 25)
arc RQT = 224° (155 + 25 + 44)
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answers
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 21 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
19/67
Step-by-step explanation:
I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works
Which of the following is equivalent to the expression below?
4x + 2(3-x)
6x + 6
3x+6
5x + 6
2x +6
Answers
Answer:
2x + 6
Step-by-step explanation:
you have to factorize the above equation first and you'll get the answer
Simplify 4x + 3x² + x² - 3x
Answers
Answer:
[tex]x + {4x}^{2} [/tex]
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]
we're left with
[tex]x + {4x}^{2} [/tex]
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
A scale drawing used for the model of a building is 1 inch = 150 feet. How tall is the building if the scale model is 6 inches tall?
Answers
Answer:
900
Step-by-step explanation:
1 inch/150 feet x 6 inch/x feet
cross multiply
1x=900
During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answers
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation: