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]
How many zeros are in the product 4 x 10 7th power
Answer:
7 or 40,000,000
Step-by-step explanation:
The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7
10^7 (its just 10 times itself 7 times) = 10,000,000
4 * 10,000,000 = 40,000,000
Hope this helps
~R3V0
⚠️WILL GIVE BRAINLIEST!!!
Answer: 42 Units Cubed
Step-by-step explanation:
Volume of a Prism is typically length * width * height
in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied
so now just multiply the length, which is 8, to the area of the base to find the volume
[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]
Answer:
[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]
I need help please ????!!!
Which term could be put into the blank to create a fully simplified polynomial written in standard form
Answer:
[tex]x^{2} y^{2}[/tex]
Step-by-step explanation:
FIND X. PLEASE HELP............. ..........!
Answer:
x=23
Step-by-step explanation:
A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle
9514 1404 393
Answer:
205 ft
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...
A = LW
7585 = (6w-17)(w)
6w² -17w -7585 = 0
Perhaps most straightforward is using the quadratic formula to solve this.
For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...
[tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]
The width is 37 feet, so the length is ...
6(37) -17 = 205 . . . feet
The length of the rectangle is 205 feet.
Answers please and explain
Answer:
34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter
Step-by-step explanation:
type it in the calculator bc i dont have mine rn
Answer:
102
Step-by-step explanation:
Well it says use 3 instead of pi. So (3)(34)
Which is 102
The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s revenue was $29 billion less than Apple's revenue. The total revenue for both companies was $77.8 billion.
Answer:
a. 53.4
b. 24.4
Step-by-step explanation:
a+j=77.8
j=a-29
a+j=77.8
-a+j=-29
2j=48.8
j=24.4
a+24.4=78.8
a=53.4
Find the value of x in the triangle shown below.
1
13
2
12
Choose 1 answers
Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
x = 5
Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?
Answer:
0.75 or 3/4 sheet of paper
Answer:
3/4 of each sheet
Step-by-step explanation:
You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.
kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score
decimal
Answer:
8.0
Step-by-step explanation:
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
Answer:
$10.10
Step-by-step explanation:
0.25 × 27 = 6.75
0.10 × 26 = 2.60
0.05 × 15 = 0.75
6.75 + 2.60 + 0.75 = $10.10
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
Complete the missing value in the solution to the equation.y=-2x+4
The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?
Answer:
I sont know
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
since 5 is half of 10, 4 is half of 8.
What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)
Answer:
b
Step-by-step explanation:
In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?
Answer:
A is your correct answer.
1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.
Step-by-step explanation:
Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.
Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.
Please let me know if you have questions about this.
Find the area of the sector.
Answer:
359.1887600604 so D should be right
Find the area of each figure. Answer asap
Answer: There is no picture I will edit my answer when you add one
Step-by-step explanation:
Answer:
I need the picture or the shape please and thank you
Step-by-step explanation:
Please help, test due in 2 hours! Will give good review and brainliest. :)
Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2
Answer:
1/2 ab sinC =1/2(5.5×12)sin33 = 17.97
Step-by-step explanation:
Put the numbers in the equation ,a calculator will be better.
The area of the triangle is 18.0cm².
What is the sine rule for the area of the triangle?The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.
Area= Δ= (1/2)*a*b*sinC
where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.
Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.
The angle between the sides is 33°.
Then using the sine rule for the area of the triangle
The area of the triangle= (1/2)*a*b*sinC
=(1/2)*12*5.5*sin 33°
=17.97≅ 18.0 cm²
Therefore the area of the triangle is 18.0cm².
Learn more about the sine rule
here: https://brainly.com/question/27174058
#SPJ2
) Which value is the solution of the equation 54 = 6n?
54 = 6n divide 6 on both sides, 6's will cancel on the right.
__ __ solve for 54 ÷ 6 = 9
6 6
n = 9, choice 4 -- final answer
hope this helps :)
The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
54 = 6n
Divide by 6 into both sides,
n = 9
Hence "The solution of the given equation 54 = 6n will be 9".
For more about the equation,
brainly.com/question/10413253
#SPJ2
What is a fact family? (Saying "it's a family of facts" will not be accepted")
Answer: Fact families are 3 numbers that make up a set of related math facts
Step-by-step explanation:
.An example of a fact family for multiplication and division is 2, 3, and 6: 2 X 3 = 6, 3 X 2 = 6, 6 2 = 3, and 6 3 = 2.
Answer:
Step-by-step explanation:
A fact family is a set of subtraction and addition equations or sentences that involve the same numbers.
An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?
Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
which expression is equivalent to n+n+n+n? pick outta these A n4 B 4n C4n to the power of 4 D n+4
Answer:
B
Step-by-step explanation:
Answer:
the answers b sorry if it's wrong
Step-by-step explanation:
have a great day
Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)
WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium
Answer:
mean:-3
median:5
mode: all values appeared once
range:169
Step-by-step explanation:
Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?
A: Every fifth student that enters her classroom
B: Her Honors class
C: 5 boys in each of her class
D: At the end of the day, ask teachers what they think student will like
Answer:
A
Step-by-step explanation:
Because it is a random sample
Grandma Sands must've seen The Wizard of Oz a million times..." is an example of... *
hyperbole
metaphor
personification
alliteration???
Answer:
okay maybe try alliteration...
