Answer:
2sin^2(3x)
Step-by-step explanation:
The given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].
What is trigonometry identity?
When trigonometric functions are used in an expression or equation, trigonometric Identities come in handy.
One of the trigonometry identity is [tex]\cos2x=2\cos^{2} x-1[/tex].
What is the simplified expression for given expression?
In the given expression [tex]\cos6x[/tex] can be break as [tex]\cos(2\cdot3x)[/tex].
Now use the identity [tex]\cos2x=2\cos^{2} x-1[/tex] in the given expression.
[tex]1-\cos6x=1-2\cos^{2}{3x}+1[/tex]
[tex]=2(1-\cos^{2}{3x})[/tex]
Now use the identity [tex]1-\cos^{2}x=\sin^{2}x[/tex].
[tex]1-\cos6x=2\sin^{2}{3x}[/tex].
Therefore, the given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].
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Please help. Thank you!!
Answer:2444
Step-by-step explanation 23333
It is recommended that one fire extinguisher be available for every 4,520 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 88,140 square feet.
Answer:
There are 19.5 extinguishers needed.
Step-by-step explanation:
Given that,
One fire extinguisher be available for every 4,520 square feet in a building.
We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.
x = (Area of building)/(Area of one fire extinguisher)
So,
[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]
So, there are 19.5 extinguishers needed.
4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
be worth more than $7000?
Please use the compound interest formula for IGCSE:
[tex]p(1 + \frac{r}{100} ) {}^{t} [/tex]
Determine if (-11, -284 ) is a solution to the given equation: y = 14x - 129 ?
Answer:
No, it is not a solution of the equation.
Step-by-step explanation:
x=-11, y=-284
14 · (-11)-129=-283
-283≠-284
A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created from the previous year. Which of the following lengths of time worked will not be long enough for the teacher to have created 27 worksheets. * Check All That Are True*
6 hours, 10 hours, 8 hours, 2 hours, 4 hours
Answer:
2 hours, 4 hours
Step-by-step explanation:
So lets go over what we know.
There are already 10 worksheets created.
Every 1 hour 3 more are made.
27 worksheets need to be made.
Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:
27-10
=
17
Now, lets divide the amount of worksheets we still need, by how many we make each hour:
17/3
=
Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.
Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.
Hope this helps! ;)
Help!!!!!!! I will give the brainiest if right!
Answer:
60%
Step-by-step explanation:
First we must find how many chocolate their was. 60 - 24 = 36
36 is 60% percent of 60.
Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0
Answer:
-3/5
Step-by-step explanation:
tan = opp/adj using pathagorean the hypt is 5
cos = 3/5
tan is negative in quad 2 and 4
sin is positive in quad 1 and 2
so because tan is negative and sine is positive the cosine is negative
-3/5
please help me lol im begging yall
Answer:
28 cm
Step-by-step explanation:
the unmarked angle is 32°
180°-90°-58°=32°
cos(32°)=[tex]\frac{24}{c}[/tex]
c=[tex]\frac{24}{cos(32\textdegree)}[/tex]
=28.3
≈28
PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:
Answer:
Total number of candies:
6 + 3 + 5 + 2 = 16Q1
P(2 red) = 3/16*3/16 = 9/256Q2
P(a yellow and a blue) = 2/16 * 6/16 = 3/64Q3
P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096please describe the difference between the slope and the y-intercept. Please also describe how we can use the slope and y-intercept to graph.
Answer:
The slope is basically the rate of change in which it describes how steep the line is. The y-intercept is a point in the graph in which a point crosses the y axis.
The slope and the y-intercept is connected with the formula y=mx+b, where b is the y intercept and mx is the slope. With this equation, you can graph by first putting your y-intercept (b) in the graph, remember that the y-intercept has x as 0, for example (0,4) or (0,12). After that, all you have to do to complete the line is to use the slope by plugging the x to the slope and adding the y-intercept.
Now you might have a little idea of what is the slope and y-intercept, and might still be confused on certain things, so ill give an example.
ex) you are given the formula y=2x+4 and you are asked to graph it
step 1) you take the b, which is 4 and put it in the graph, knowing the the point is (0,4) because b is the y-intercept, which means that x=0.
step 2) take a random x point on the xaxis and plug it in the formula, then you add the b (4), lets say x=2
so it will become 2(2) +4 = 6, so when x=2, y is 6.
Now you have found 2 points, (0,4) and (2,6), all you have to do is plug it in the graph.
The graph is drawn below.
If you have anymore questions, don't hesitate to message me.
Hope that answers your question, good luck in your test
ps. Math becomes waaaay harder
Step-by-step explanation:
find the solution of given expression,
[tex] \sqrt{72 \times 2} [/tex]
Answer:
Solution given:
[tex] \sqrt{72 \times 2} [/tex]
[tex] \sqrt{144} [/tex]
[tex] \sqrt{12²} [/tex]
±12 is a required answer m
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Triangle A B C with a perimeter of 82 inches is shown. Sides A B and B C have lengths of 24 inches. Point D is the midpoint on side A C.
Which best describes the resulting three-dimensional figure?
Answer:
A,B and B,C
Step-by-step explanation:
The three demincanal she would be a triangle and they have small sides so that would be your answer.
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
The
Black
for this set of data is 23.
11 27 14 34 16
17
A mean
B median
c) mode
D)Range
Answer:
D
Step-by-step explanation:
Add 11,27,14,34,16, and 17 then divide by 7
what is root 3 × 2 root 3
Answer:
3
Step-by-step explanation:
The principal, real, root of:
[tex]\sqrt[2]{3}[/tex]
=1.73205081
All roots:
1.73205081
−1.73205081
3 is not a perfect square
Choose the mixed number that is equivalent to $ 1.32.
1 32 /100
3 12/100
1 32/10
32/100
Answer:
1.32/100
Step-by-step explanation:
Address input parameters and values. Input parameters and values: The decimal number = 1.32Write it as a fraction ; 1.32/1Multiply 100 to both numerator and denominator(1.32×100)/(1×100) = 132/100
It can be written as 132%= 132/100 or 132/100
4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100
4 is LCM for 132 and 100.
5. Divide numerator and denominator by 4
132/100=(132/4)/(100/4)=33/25.
33/25 is a simplest fraction for the decimal point number 1.32.
Answer:
132/100
Step-by-step explanation:
When you multiply by 10,100,1000.... you add zero. For example:132×10=1320 132×100=13200When you devide by 10,100,1000 you decrease the number starting from the right to left. For example: 132/10=13,2 132/100=1,32. NOTE it depends on the number of zeros.What is the area of a regular hexagon with perimeter of 90 ft?
Answer:
A=584.57
Step-by-step explanation:
1=-10
Hello. I'm currently a freshman in highschool and ran across this question and I forgot how to do it before. Can i get some help?
I spend and save £48 in
the ratio 2:1. How much
did I save?
Answer:
£16
Step-by-step explanation:
save = 1/3 * 48
48/3 = 16
£16
Answer:
hi
Step-by-step explanation:
i think so,
2:1=48
2k+1k=48
3k=48
k=16
spent 16×2=32
saved 16 £
hope it helps
have a nice day
What does a continuous domain mean, explain it like I'm 5 years old
Answer:
set of input values that consists of all numbers in an interval.
Step-by-step explanation:
Answer:
A continuous domain is a set of input values that consists of all numbers in an interval.
Step-by-step explanation:
I don't know how to explain it to a five year old. Sorry
How many 4-digit odd numbers can you make using the digits 1 to 7 if the numbers must be less than 6000? No digits are repeated.
Answer:
Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.
The last digit must be a 1, 3, 5, or 7, because the number has to be odd.
So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.
The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.
At this point, we have everything we need to express this as an equation:
x = (2 x 4 + 1 x 3) x 6 x 5
And then we can simplify and solve:
x = (8 + 3) x 30
x = 11 x 30
x = 330
18) Which choice shows three lengths that cannot be the lengths of the three sides of a triangle? OA) 10 cm, 9 cm, 3 cm OB) 3 cm, 5 cm, 10 cm OC) 15 cm, 10 cm, 7 cm OD 10 cm, 10 cm, 10 cm
Answer:b am pretty sure
Step-by-step explanation:
Please answer correctly
Answer:
x = 20
Step-by-step explanation:
In parallelograms opposite angles are congruent and angles that are on the same line are supplementary
This means that ∠TUR and ∠URS are supplementary angles
Supplementary angles have a sum of 180°
That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180
so ∠URS = 180 - ∠TUR ( 160 )
180 - 160 = 20
Hence, ∠URS = 20°
jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children.
Based on the data in this bar graph, which movie received 20% of the total votes? How do you know?
Answer: 191 students and ninety seven 10th graders were surveyed
Step-by-step explanation:
Solve for the area
Triangle B=6m h=4m A=
Answer:
Area is 12 square meter
Step-by-step explanation:
The formula for the area of a triangle is 1/2 (b)(h)
which is 1/2 (6)(4) which is 12.
HELP PLEASEEEE NO BITLYS OR LINKS
The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the same length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?
Volume of prism: 5 x 4 x 6 = 120 cubic meters
Volume of pyramid: 5x4 x 6/3 = 40 cubic meters
Ratio: 40/120 = 1/3
1. A coin is tossed once, what is the probability of getting a head
Answer:
The answer is...1/2
Step-by-step explanation:
1- head
1-tail
To get head-1/2
Answer:
the answer is 1/2
Step-by-step explanation:
you have 2 sides each side a 50% chance
Determine the center and radius of the following circle equation:
x² + y2 + 20x – 14y + 133 = 0
Centre ( - 10 , 7 )
Radius -> 4 unit
What is the volume of the prisim?
This prism measures 3 units by 4 units by 2 units.
Answer:
24
Step-by-step explanation:
3*4*2=24