Answer:
A: cos(-pi/3)
Step-by-step explanation:
just did the unit test review on EDGE
The trigonometric expression cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12) is equivalent to cos(- π/3). Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12)
We know that the formula of cosine.
cos (a - b) = cos a · cos b + sin a · sin b
Then the expression will be
⇒ cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12)
⇒ cos(π/12 - 5π/12)
⇒ cos(π - 5π/12)
⇒ cos(-4π/12)
⇒ cos(- π/3)
The trigonometric expression cos(π/12) cos(5π/12) + sin(π/12) sin(5π/12) is equivalent to cos(- π/3).
Then the correct option is A.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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here are four cards 6 2 7 3
how do i solve the second question?
Answer:
276
Step-by-step explanation:
Answer:276
Step-by-step explanation:trust me bro
150 adults complete a survey 80 are women the ratio of men and women in its simplest form
Answer:
Step-by-step explanation:
150 - 80 equals 70
70:80 = 7:8
please give me brainliest, I'm going to cry if you don't >:(
The Ta-Da Theatre company recorded the number of annual auditions since 2015 in the table shown.
Based on this information, what is the best prediction of the number of auditions that will be held in 2025?
A: 72
B:23
C: 107
D: 61
ILL GIVE YOU BRAINIEST
PLEASE HELP MEEEE
Answer:
Luh Goop
Step-by-step explanation:
Your Mom
The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?
a) right an equation that can be solved using the distributive prop property.
b)Solve the equation
Answer:
A. 2(8)+2(w)=26
B. 16+2w=26
Subtract 16 from both sides of the equation
2w=10
Divide both side by 2
The width is 5
Step-by-step explanation:
help asap ok i’ll give brainlist
Answer:
70
Step-by-step explanation:
63+47=110
180-110=70
Answer: x= 70
Step-by-step explanation:
A triangle=180 degrees
We know 2 of these degrees
Add them together
63+47=110
Now subtract 110 from 180
180-110=70 degrees
When solving the following system of
equations, which variable would be the easiest
to solve for?
5.2 + 3y = 22
4x – 2y = 16
O the y in the first equation
the x in the second equation
the x in the first equation
the y in the second equation
Answer:
The y in the second equation
Step-by-step explanation:
The y in the second equation is preceded by a negative coefficient, therefore it will be positive when added to the other side. All the numbers in the equation are even and easily divided by 2 as well. 2 is also the smallest number in the equation, so the remaining numbers will remain whole.
A Red bucket has 200 L of water and has been filled at a rate of 6 liters per minute A blue bucket hats 500 L of water and is being drained at a rate of 6 L per minute how many minutes will it take for the two buckets to have the same amount of water
Answer:
Both buckets will have the same amount of water after 25 minutes
Step-by-step explanation:
Equations
Let's call:
t = number of minutes elapsed for both buckets
The red bucket already has 200 L of water and it's flowing in at a rate of 6 liters per minute. Thus, the volume of water in this bucket is:
R = 200 + 6t
The blue bucket has 500 liters of water and is being drained at 6 liters per minute. The volume can be modeled by the equation:
B = 500 - 6t
The condition for both buckets to have the same amount of water is:
R = B
200 + 6t = 500 - 6t
Adding 6t and subtracting 200:
6t + 6t = 500 - 200
12t = 300
t = 300/12
t = 25 minutes
Both buckets will have the same amount of water after 25 minutes
One winter day, the outside temperature, y, was never below −1°. The inside of a car was always warmer than the temperature outside by at least 4°. Which graph of a system of inequalities represents this scenario?
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything below and to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything above and to the left of the line is shaded.
Answer:
The correct option is;
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1, Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded
Step-by-step explanation:
The inequality representing the first line is y ≥ -1
The inequality representing the second line is y > x + 4
Therefore, the first line is a solid horizontal line with the shaded region above the line
The second line is a line with a broken line with positive slope slope with the shaded region being above the line and to the left
A table is made using the following two patterns.
Pattern 2: Starting number: 12, Rule: Add by 8
Pattern y: Starting number: 60, Rule: Divide by 2
Complete the table for the given patterns.
2
Y
12
60
Step-by-step explanation:
add 8 to each x coordinate and divide 60 by 2 and then divide that by 2
The complete table for the given pattern is,
x: 12, 20, 28.
y: 60, 30, 15.
To complete the table for the given patterns, we can follow the specified rules for each pattern:
Pattern x: Starting number: 12, Rule: Add by 8
To generate the numbers in this pattern, we start with the given starting number, which is 12. Then, we apply the rule of adding 8 to each successive number.
12 + 8 = 20
20 + 8 = 28
So, the completed table for Pattern x would be:
x
12
20
28
Pattern Y: Starting number: 60, Rule: Divide by 2
For this pattern, we start with the given starting number, which is 60. Then, we apply the rule of dividing each successive number by 2.
60 ÷ 2 = 30
30 ÷ 2 = 15
So, the completed table for Pattern Y would be:
Y
60
30
15
By following the respective rules for each pattern, we have filled in the missing values in the table.
To learn more about the division;
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-4.75 = z/2
It's not that urgent, but I would appreciate it if you helped me!
If EF = 2x – 11, FG = 4x - 16, and EG = 27, find the
values of x, EF, and FG. The drawing is not to
scale.
Answer:
x=9
EF=7
FG=20
Step-by-step explanation:
2x-11 + 4x-16=27
6x-27=27
+27 +27
6x=54
6x/6=54/6
x=9
EF= 2(9)-11
18-11=7
FG=4(6)-16
36-16=20
Will give brainliest!!
please help!!
In emails to subscribers of a weekly newsletter, Mikayla found that approximately 72% of the emails are left unopened. If she sends out 5,896 emails each week, approximately how many emails are unopened?
Answer:
4245.12 emails are unopened
Step-by-step explanation:
hey
please solve
it's really easy
Answer:
(2x + 1)×3 = 1×(3x+4)
6x + 3 = 3x + 4
6x-3x = 4 -3
3x = 1
x = 1/3
NEED HELP ON THIS ANSWER BE SEROUIS PLEASE!
Answer: C, a = 250t + 500
Step-by-step explanation: First, we can simply take out 500 out of 1500 to show the first deposit. Now we can do 1000 / 4 to get 250 a month.
This gives us a = 250t + 500
Hope this helps :)
What is Mario's cycling rate?
miles per hour
Answer:
7 miles per hour
21/3=7
14/2=7
7/1=7
Step-by-step explanation:
Answer:
the answer is 7 miles per hour
NEED ANSWER ASAP-
What is the value of x?
Given:
The figure.
To find:
The value of x.
Solution:
In triangle HIJ, HJ is diameter of the circle.
[tex]\angle HIJ=90^\circ[/tex] [Thales's Theorem]
[tex]HI=IJ[/tex] [Given]
[tex]\angle IHJ=\angle IJH=x-42^\circ[/tex] [Base angles of isosceles triangles are equal]
Now,
[tex]\angle HIJ+\angle IJH+\angle IHJ=180^\circ[/tex] [Angle sum property]
[tex](90^\circ)+(x-42^\circ)+(x-42^\circ)=180^\circ[/tex]
[tex]2x+6^\circ=180^\circ[/tex]
[tex]2x=180^\circ-6^\circ[/tex]
[tex]2x=174^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{174^\circ}{2}[/tex]
[tex]x=87^\circ[/tex]
Therefore, the value of x is [tex]87^\circ[/tex].
e Explore It!
A group of college students developed a
solar-powered car and entered it in a
race. The car travels at a constant speed
of 100 meters per 4 seconds.
Answer:
50m/s
Step-by-step explanation:
Since we are not told what to find, we can as well look for two speed of the car in meter per seconds
If the car travels at a constant speed of 100 meters per 4 seconds, the we can say;
100 meters = 4seconds
Since we want to know the speed in metres per second, we will say;
X meters = 1second
Equating both
100 meters = 4seconds
X meters = 1seconds
Cross multiply
4×X = 200×1
4X = 200
Divide both sides by 4
4X/4 = 200/4
X= 50
Hence the of the car in meter per seconds is 50meters per second
What are the slope and y-intercept of the graph of y =(-1/3)x + 1
Answer:
[tex]slope \: = - \frac{1}{3} x \\ y - interept \: = \: 1[/tex]
Step-by-step explanation:
Hope this helps!
Solve the equation for y:
3 + 5y/2
= X
Answer :
y = [tex]\frac{2}{5} ( x - 3)[/tex]
Step-by-step explanation:
6 + 5y = 2x
or, 5y + 6 - 6 = 2x - 6
or, 5y = 2x - 6
or, 5/5 y = 2 ( x - 3) / 5
or, y = 2/5 ( x - 3)
therefore, y = [tex]\frac{2}{5} ( x - 3 )[/tex]
0.6x = 5.4 what is x
Answer:
x = 9
Step-by-step explanation:
0.6x = 5.4 (divide each side by 0.6)
x = 9
which is bigger 7/10 or 13/16
Answer:13/16
Step-by-step explanation:trust me bro
Answer:
13/16
Step-by-step explanation:
So what we want to do here is find the smallest common denominator. I personally find 160 the easiest to work with.
7x16=112(numerator for 7/10)
10x16=160(denominator)
This gives us the fraction 112/160.
13x10=130
16x10=160
This gives us the fraction
130/160
Therefore 13/16 is bigger.
Please mark brainliest!
Deanna will cook a turkey for about 15 minutes per pound of turkey.
If she bought an 11-pound turkey, how long should she cook it for, in minutes?
Answer:
165 minutes is how long it would take
Answer:
11×15
lbs× minutes per lbs
PLZZZZZZZ ANSWER ILL GIVE U BRAINLIEST
Mario is playing an online puzzle game. He has 50 points and earns 3 points for each puzzle he solves correctly. He will advance to the intermediate level if his score is over 80 points. Which inequality can Mario use to find how many more puzzles he must solve to advance to the intermediate level?
Answer:
y = 3x + 50
x = # of levels completed
Step-by-step explanation:
Answer:
The inequality 50 + 3x > 80 can be used by Mario to find how many more puzzles he must solve to advance to the intermediate level.
Step-by-step explanation:
Given that:
Points of Mario in online puzzle game = 50 points
Points earned for each puzzle solved correctly = 3 points
Points needed to advance to intermediate level = over 80 points
Let,
x be the number of puzzles needed to be solved by Mario to advance to next level.
Points Mario already have + Points for each puzzle * Number of puzzles > Points needed to advance
50 + 3x > 80
Hence,
The inequality 50 + 3x > 80 can be used by Mario to find how many more puzzles he must solve to advance to the intermediate level.
WILL MARK BRAINLIEST IF YOU GET IT RIGHT.
Answer:abd
Step-by-step explanation:
Answer:
A B and D
Step-by-step explanation:
these numbers could represent percents like 95% off 85% off or 55% off
so if n represents 1 item you would do 0.95(1) which equals 0.95 off of the original price which would make it 0.05
hope this makes sense
Leah and her children went into a restaurant and will buy hotdogs and tacos. She
must buy a maximum of 13 hotdogs and tacos altogether. Write an inequality that
would represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answer:
The equation to solve this is: h + t is less than or equal to 13
Step-by-step explanation:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.
a. Write an equation that represents the situation.
Answer:
If the cost y is proportional to the number of hours x:
y = kx where k is the constant of proportion.
Given $27 for 3 hours, find k
27 = 3k
k = 9
Your equation is: y = 9x
From this, given a value for y or x you can plug it in to find the other.
Step-by-step explanation:
Answer: [tex]\frac{27}{3}[/tex]
Step-by-step explanation:
What is the value of x?
a.) 0.4 mi
b.) 6 mi
c.) 0.6 mi
d.) 4 mi
Answer:
0.6 or should be anyway.......
hope this helps you
Renee spent $15.50 on Amazon today and Alex spent $9.69. How much more did Renee spend than Adam
Answer:
$5.81
Step-by-step explanation:
15.50-9.69=5.81
Answer:
$5.81
Step-by-step explanation:
Subtract. Hope this helped you!! Do you have a calculator
what is the average number of a question
Answer:
Overall, across all grades and subjects, the average test question count is 10, the second favorite number of questions is 5. A major contributor in determining the question count for an assignment is its assessment type.
Hope I helped!! If I did please give brainliest because I cant level up without having 1 more ;(
<3 Enjoy,
Dea
Answer:
that's so ez
Step-by-step explanation:
but idc.......!!!!!!!!
Margie's vegetable garden contains cucumbers, corn, potatoes, and tomatoes. About
of the garden consists of potatoes. What percent of the vegetables in Margie's
garden are NOT potatoes?
Answer:
60%
Step-by-step explanation:
2/5 to 100%
we have to make the bottom number equal 100
5*20=100
what we do to one side we have to do to the other when multiplying and dividing fractions
2*20=40
40/100
we're looking for the OTHER vegetables so subtract that from the total
100/100 - 40/100 =60/100 or 60%
Answer:
60%.....................
