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]
Kinetic energy is expressed using the unit
A. Meters
b.Meters per second square
C. Joule per second
d Joule
Answer:
C or d
Step-by-step explanation:
kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction
I need help ASAP i will give brainlist
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
72,-36,18,-9 find the common ratio
Convert: 2,640 yards miles and yards
Answer:
1.5 miles
Step-by-step explanation:
Formula
divide the length value by 1760
Hope it helps you!
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What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
A line has a slope of -5 and includes the points (-1,r) and (-2,-2). What is the value of r?
Answer:
-7
Step-by-step explanation:
express(16^5)^1/4 in simplest radical form.
Answer:
32
Step-by-step explanation:
Hello, in (16^5)^1/4, you would multiply the exponents together like this:
16^5 x 1/4= 16^5/4
The exponents multiplied make 5/4. Now you need to multiply 16 with 5/4 like this:
16 x 5/4= 80/4
80 divided by 4 is 32 so therefore, the answer is 32.
What is the equation of a circle with center (1,-4) and radius 2?
A. (x - 1)2 + (y +472 - 2
B. (x - 1)2 + (y + 4)2 - 4
C. (x + 1)2 + (y - 4) - 4
D. (x - 1)2-(y+4)2 - 4
Answer:
B. [tex](x-1)^2+(y+4)^2=4[/tex]
Step-by-step explanation:
The general equation of a circle with center (h,k) and radius r is given by :
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Substituting the given values of the center and radius into this equation we get:
[tex](x-1)^2+(y-(-4)^2=2^2[/tex]
==> remove parenthesis
[tex](x-1)^2+(y+4)^2=2^2[/tex]
==> simplify exponents
[tex](x-1)^2+(y+4)^2=4[/tex]
The equation of a circle with center (1,-4) and radius (2) is [tex](x-1)^2+(y+4)^2=4[/tex]
Learn more about the equation of a circle here : https://brainly.com/question/27248248
Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:
First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112
First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Answer:
First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
Is 7/20 equal to 0.35
Answer:
yes it is
Step-by-step explanation:
I need some help with this math problem. I really appreciate it. thank you very much!
Margaret's savings account had $500 in it last month. This month it has $545.
Answer:
9% increase
Step-by-step explanation:
What value is missing from the table
Answer:
C. $15.75
Step-by-step explanation:
If one costs $1.05, 15 would be:
15 (1.05) = 15.75
Answer:
15.75
Step-by-step explanation:
1.05 a gallon times 15 gallons is 15.75
I NEED HELP CLICK HERE PLEASE
Answer:
A- II
B- I
C- III
D- IV
Step-by-step explanation:
Figure A is enlarged to create figure B. The ratio of the areas of A and B is 16:49.
One side of B is 5ft long. How long would the corresponding side on figure B be. Leave your answer as a fraction. (No image was provided, only the question itself.)
Answer: [tex]\dfrac{20}{7}[/tex]
Step-by-step explanation:
Given
The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides
Suppose the corresponding side on figure A is [tex]x[/tex]
On solving
[tex]\Rightarrow \dfrac{16}{49}=[\dfrac{x}{5}]^2\\\\\Rightarrow \dfrac{x}{5}=\sqrt{\dfrac{16}{49}}\\\\\Rightarrow \dfrac{x}{5}=\dfrac{4}{7}\\\\\Rightarrow x=\dfrac{20}{7}[/tex]
One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.
Answer: 17 or -18
Step-by-step explanation:
x^2+x=306
x^2+x-306=0
(x-17)(x+18)=0
x-17=0
x=17
x+18=0
x=-18
..i think this is the right answer
A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
Answer: 3 refills
Step-by-step explanation:
$1.65 + 0.95 + 0.95 + 0.95 = $4.50
Using the graph, determine the coordinates of the vertex of the parabola.
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
help please will give brainest.
Hi, you didn't add any picture or attached the info
Solve each equation.
2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25
Answer:
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Step-by-step explanation:
ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6
These four numbers are plotted on a number line:
-23,58,-35,-12
Which is the correct ordering on the number line, from left to right? A . -12,-35,-23,58 B. -12,-35,58,-23 C. -23,-35,-12,58 D. -35,-23,-12,58
Answer:
D
Step-by-step explanation:
Need help
1. 15% of what number is 6?
2. 25 is 10% of what number
3. 49 is 35% of what number
4. What is 310% of 65
Thanks
Answer:
1. 40
2. 40
3. 140
4. 210.5
I tried, hope this helps :)
A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
the length will be 9cm because a square has equal sides it not the same as the rectangle
the area of a square room is 144square metres what is the perimeter of the room
Answer:
the answer is 48
Step-by-step explanation:
12×12=144
4×12=48
please help! what is the measure of each central angle?
Answer:
9.3
Step-by-step explanation:
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
maybe the second?
Step-by-step explanation:
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ