Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
[tex]sin^4(x) + cos^4(x)[/tex]
We can rewrite this as:
[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]
Now we can add and subtract cos^2(x)*sin^2(x) to get:
[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]
We can complete squares to get:
[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]
and we know that:
cos^2(x) + sin^2(x) = 1
then:
[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
[tex]1 - \frac{sin^2(2*x)}{2}[/tex]
Then the simplification is:
[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]
please help me, i will mark brainliest
The seventh grade class is putting on a talent show to raise money for a class trip. It costs $500 to rent the banquet hall they are planning on using. If they charge $15 per ticket, how many tickets do they need to sell in order to raise at least $1000?
Part A
The variable in this problem will represent the number of:
A- students
B- tickets
C- parents
D- money
Part B
Choose the correct inequality to represent the story problem:
A- 15x+500=1000
B- 15x-500≥1000
C- 15x+1000≥500
D- 15x-500≤1000
Part C
How many tickets do they need to sell? (Write your answer as an inequality)
Answer:
B-Tickets
B-15x-500≥1000
C-x≥100
Step-by-step explanation:
X is the variable because you need to find how many tickets need to be sold
The answer is B because they need to raise $1000 or more
15x-500≥1000 (add 500 to both sides)
15x≥1500
x≥100
here's the question
Answer:
60
Step-by-step explanation:
perimeter (p) = 8 + 17 + 15 = 40
semi-perimeter (s) = p/2 = 20
Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.
Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60
plz fast solve it and It should be right
9514 1404 393
Answer:
(i) ∠CDF = 86°
(ii) ∠BAD = 141°
Step-by-step explanation:
(i) Angles CDF and GFD are "alternate interior" angles, so are congruent.
∠CDF = 86°
__
(ii) Angles BAD and CDA are "alternate interior angles, so are congruent. Angle CDA is the sum of angles CDH and HDA. Angle CDH is supplementary to angle CDF, so is ...
∠CDH = 180° -∠CDF = 180° -86° = 94°
Then ...
∠CDA = ∠CDH +∠HDA = 94° +47°
∠CDA = 141°
Question is down in the image
Answer:
It is (33.3) [Last one]Step-by-step explanation:
I hope that is useful for you :)
This equation is basically 35.6 -2.3, you just reverse the numbers
35.6
- 2.3
33.3
The answer is D
Help pleaseeeeeeeeeeeee
Answer:
option first is the right answer
How many times bigger is 3 to the power of 15 compared to 3 to the power of 12?Explain your answer.
Mrs. Rhodes is building the ramp shown below and she wants to paint it blue. How much paint will she need to cover the entire surface?
Answer:
2/3 of paint I believe because of the amount shown
Evaluate the expression for r = 2.
17 + r =
What is the least amount of green ooze any one contestant carried?
Answer:
Step-by-step explanation:
Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.
Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:
22.4
Step-by-step explanation:
delta math
Answer:22.4
Step-by-step explanation:
the vertex of the parabola below is at the point (5,-3). which of the equations below could be the one for this parabola?
Answer: ty for the points
Step-by-step explanation:
x+-3(y+3)2+5
What is the mode of the data set ?
3,3,5,5,5,7,7,8,15,15
Answer:
5
Step-by-step explanation:
the mode is the number that appears most frequently on a data set.
Answer:
5
Step-by-step explanation:
Help me please!!!!! I need help with angles
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Hi help pls no link ty!
Answer:
84.78
Step-by-step explanation:
The full area of the circle without the cutout is 113.04
The cutout sector is 28.26
So that would make our final answer 84.78
by subtracting 28.26(cutout) from 113.04(full circle)
(In case you are wondering) The way I found the cutout sector's area was this formula: π4²·(angle)/360
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per
gigabyte. He wants to keep his bill under $65 per month. Write and solve an
inequality which can be used to determine x, the number of gigabytes Justin can use
while staying within his budget.
>
Inequality:
.
Submit Answer
attempt 1 out of 2
I need this answered as soon as possible it’s worth 100 points
Answer:
Step-by-step explanation:
The inequality Equation =
42 + 5x < 60
To stay within her budget of less than $60 she must use less than 3.6 Gigabytes
Step-by-step explanation:
Under her cell phone plan, Brooklyn pays a flat cost of $42 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
Let the number of gigabytes = x
Under $60 means less than $60
The inequality =
$42 + $5×x < $60
42 + 5x < 60
Solving for x
42 + 5x < 60
5x < 60 - 42
5x < 18
x < 18/5
x < 3.6 Giga bytes
Hence, to stay within her budget of less than $60 she must use less than 3.6 Gigabytes
what is 8x9-6+7(5-4x8)
Answer:
8 x 9 − 28 x 8 + 29
Step-by-step explanation:
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the
students' nets is true?
Answer:
d
Step-by-step explanation:
write an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?
Answer:
A
[2, -4, -6, -2]
Step-by-step explanation:
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
Rotating the decagon by a multiple of ___ carries the decagon onto itself. Therefore, a rotation of ___ counterclockwise will carry the decagon onto itself. can reflect the decagon ___ different ways , including ____ ways using the lines of symmetry that pass through the midpoints of two opposite sides.
Which of the following the correct sequence to in the blanks above?
Answer: C
Step-by-step explanation:
i just did this problem and got it right
Decagon is a regular polygon with 10 sides. The correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5
What is a decagon?A decagon is a regular polygon with 10 sides.
As shown in the diagram attached below, the angle between two line segments connecting center and two adjacent vertex is of 36°.
Since rotating the decagon by that angle will land it in an unidentifiable way, as it looks alike, thus, rotating the decagon by a multiple of __36°__ carries the decagon onto itself.
Therefore, a rotation of _36 degree or 72 degree or any multiple of 36 degree__ counterclockwise will carry the decagon onto itself.
If we connect one vertex to opposite one, and flip it on that connecting line(this flip is called reflection), then the decagon will look same as before reflection.Thera are 5 such different lines.
Now in addition, we can connect lines from mid point of 1 side to other opposite side too. And this also can be done in 5 ways. On these connecting lines too, the decagon can be reflected onto itself.
Thus, we can reflect the decagon _5+5=10_ different ways. (these are the only ways, and it can be proven mathematically).
And including __5__ ways using the lines of symmetry that pass through the midpoints of two opposite sides
Thus, the correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5
Learn more about reflection symmetry here:
https://brainly.com/question/7783612
what is (-3, 4) translated by (x,y) → (x – 6, y – 5).
Answer:
(-9,-1)
Step-by-step explanation:
You plug in the x and y values and solve the algebraic expression.
What is 3-(-7)+11-(9)
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Just had to simplify the expression.
HELP PLEASE 15 POINTS
A student claims that 3√80 is in the simplest radical form. Which statement is true?
A. The claim is correct because 80 is not divisible by three.
B. The claim is correct because 80 is not a perfect cube.
C. The claim is incorrect because 80 has a factor of 4.
D. The claim is incorrect because 80 has a factor of 8.
Don't put a link as the answer.
Answer:
C)
Step-by-step explanation:
3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]
2. The ratio of 7th graders to 8th graders in student council is 2:3.
If there are 51 8th grade students in student council, what is the
total number of students in student council?
Help me please thank you kindly
Answer:
85 students
Step-by-step explanation:
Given
[tex]7th : 8th =2 : 3[/tex]
[tex]8th = 51[/tex]
Required
Find the total number of students
We have:
[tex]7th : 8th =2 : 3[/tex]
Substitute: [tex]8th = 51[/tex]
[tex]7th: 51 = 2 : 3[/tex]
Express as fraction
[tex]\frac{7th}{51} = \frac{2 }{ 3}[/tex]
Multiply both sides by 51
[tex]51 * \frac{7th}{51} = \frac{2 }{ 3} * 51[/tex]
[tex]7th= \frac{2 }{ 3} * 51[/tex]
[tex]7th= 2 *17[/tex]
[tex]7th= 34[/tex]
So, the total is:
[tex]Total = 7th + 8th[/tex]
[tex]Total = 34 + 51[/tex]
[tex]Total = 85[/tex]
The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:
10
14
18
28
The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
Read more about sequence at:
https://brainly.com/question/6561461
If f(x) = 3x + 2 and g(x) = -x^2 + 1, which is f(g(x))?
Answer:
-3x^2+5
Step-by-step explanation:
f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5
How many minutes are there between 15 minutes past 10 and 25 minutes to 11am?
Answer:
20 minutes
Step-by-step explanation:
15 minutes past 10 is 10:15
25 minutes to 11 am is 10:35
(60-25=35)
35-15=20
Plz someone help me on these 2 questions!! I'm desperate :)
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
