cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE
Step-by-step explanation:
Think of it this way what if an exponent had 1 so like 10^1
that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps
How many square yards of carpet are needed to cover the floor of a related 15 feet long and 12 feet wide
Answer:
20 yards squared.
Step-by-step explanation:
First, you should convert your units. Three feet make a yard, so 15 feet = 5 yards and 12 feet = 4 yards.
The area of a square is found by multiplying the length and width, so 5 yards x 4 yards = 20 yards.
At the zoo, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g=2c
Answer:
Step-by-step explanation:
Hey I really need help with this
Answer:
2.7 cm
Step-by-step explanation:
subtract DC from EC
Evan ran 20 meters in 5.8 seconds. Yelena ran 20 meters in 5.4 seconds. Who ran faster? Explain how you
know.
Answer: Yelena
Step-by-step explanation:
5.4 is shorter than 5.8
Answer:
Yelena
Step-by-step explanation: I know this because Yelena and Evan both ran the same distance, but Yelena's time for the run was faster than Evan's.
Two parallel lines are cut by a transversal as shown below.
Suppose m Z4=77º. Find mZ5 and 27.
12
4/3
m 25 = [
m2 7 =
5/6
8 17
A truck can be rented from Company A for $90 a day plus $0.20 per mile. Com
of miles in a day at which the rental costs for Company A and Company B are 30$ a day and .50$ per mile
At
miles, the rental costs are the same from either company.
Answer:
there is not enough information
Exit
What is the decimal equivalent of 4/5
Answer:
0.8
Step-by-step explanation:
to find the decimal equivalent we must get the denominator to 100
to do that we must multiply it by 20, 4/5 * 20/20 is 80/100
80/100 is also 80%, which is also 0.80 (which can be simplified to 0.8)
Victoria has a cow. The cow’s tail is 3 inches long. The cow’s tail grows by 5 inches every 6 months. What will the tail’s length be next year?
Answer:
The cow's tail will grow 25 inches more intotal
The cows tail will be 28 inches long.
Step-by-step explanation:
12 months equals to one year (leap year not included) cows tail
grows 5 inches every 6 months. So, 5 x 5 = 25 + the 3 inches from its previous tail will give us total for all. so the answer is 28 in all or 25 for how much it has grown.
That's a long tail ;-;
Which of the following is equivalent to 8 1/2 ?
Answer:
1 5/8 is equal to 13/8
Step-by-step explanation:
A regular polygon has 20 sides
work out the sum of the interior angles of the polygon
work out the size of the interior angles
Step-by-step explanation:
The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.
Step-by-step explanation:
Course menu
Socratic Q&A logo
Search icon
What is the measure of an interior angle of a regular polygon with 20 sides?
Geometry Angles with Triangles and Polygons
1 Answer
mason m
Jan 2, 2016
162
˚
Explanation:
The sum of the interior angles in a regular polygon with
n
sides is found through the formula
180
˚
(
n
−
2
)
Here,
n
=
20
, so the sum of the interior angles is
180
˚
(
20
−
2
)
=
180
˚
(
18
)
=
3240
˚
To find just one angle, divide
3240
˚
by
20
since all
20
angles are congruent.
3240
˚
20
=
162
˚
The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year?
12,000
13,500
16,200
22,000
Answer:
16,200
Step-by-step explanation:
Damian is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 4 points. What would be Damian's test score (out of 40) if he got 4 questions wrong? What would be his score if he got xx questions wrong?
Answer:
36/40 or 90%
Step-by-step explanation:
First convert it to a fraction, which in this case is 36/40.
To find the percentage, we need to find an equivalent fraction with the denominator of 100. Multiply both numerator & denominator by 100.
36/40 × 100/100
= (36 × 100/40) × 1/100 = 90/100
Therefore, the answer is 90%.
If you are using a calculator, simply enter 36÷40×100, which will give you 90 as the percentage.
What is the area of the trapezoid?
Answer:
128
Step-by-step explanation:
1/2 x (10+22) x 8 =128
Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6
Answer:
2/12
Step-by-step explanation:
Answer:
C) 2/12
Step-by-step explanation:
You need to convert the fractions to decimals (by dividing the top number by the bottom number).
5/12 = 0.416...
8/12 = 0.666...
2/12 = 0.166...
4/6 = 0.666...
As you can see, 2/12 in decimal form is closer to 0 than the other fractions.
34500002650 in standard form 2 significant figures
Answer:
35000000000
Step-by-step explanation:
i used a calculator hope this helps
Simplify (3x-8)+(2x+5)-(4x-8)
Answer:
x+5
Step-by-step explanation:
3x+2x=5x
5x-4x=x
-8+5=-3
-3--8=-3+8=5
x+5
b) 8 x + 3 = 35
C)_times5=80/2
Answer:
b. 8×+3=35
Step-by-step explanation:
is the answer
A total points scored in a basketball game was 21. How many were 2 points, and how many were 3 point shots. using a linear equation to figure
Answer:
im not sure
Step-by-step explanation:
Tanner's chemistry textbook weighs 5/6 of a pound and his geometry textbook weighs 1/6 of
a pound. How much more does the chemistry textbook weigh than the geometry textbook?
i will give thanks and brainliest
Select the expression that has a value of 2.472.
A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3
Answer:
A. 0.824 x 3=2.472
Step-by-step explanation:
hope this helps
graph the line that passes through the point (0, -3) and is perpendicular to another line whose slope is 2
Answer:
y = -1/2x -3
Step-by-step explanation:
The line perpendicular to one with a slope of 2 will have a slope that is the negative reciprocal of 2, that is, -1/2. The given point is the y-intercept of the required line, so we can write its equation directly in slope-intercept form:
y = mx + b
where m is the slope (-1/2), and b is the y-intercept (-3). Your line is ...
y = -1/2x -3
Rút gọn biểu thức √81a^6b^2
Answer:
English.........plzpzl
Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
Someone can help me please?
Answer:
19 x 10^12 = 1.9 x 10 ^13
23 x 10^8 = 2.3 x 10^9
23 x 10^7 = 2.3 x 10^8
19 x 10^-12 = 1.9 x 10^-11
23 x 10^-8 = 2.3 x 10^-7
23 x 10^-7 = 2.3 x 10^-6
Step-by-step explanation:
28 + 44 = 4(7 + ___)
Answer:
72
Step-by-step explanation:
Answer:
28 + 44 = 4(7 + 11)
Step-by-step explanation:
select all the pieces of the triangle that are marked as congruent in the following picture
Answer:
C. D. E. is the correct answer.
Step-by-step explanation:
Hope this helps you. Have a nice day. If you have doubt then please ask in comments.
Please mark as brainliest. It helps a lot.
Answer:
M = C
BC = LM
B = L
Step-by-step explanation:
We can see that there are double lines between BC and LM, and a triple line curves at Angle B and Angle L.
We can conclude that:
A = K
B = L
C = M
C = K (NO)
BA = MK (NO)
M = C (YES)
BC = LM (YES)
B = L (YES)
Can someone help me??
Answer:
x = √(5)
Step-by-step explanation:
[tex]x^2 = 5[/tex]Step 1: Take square root of both sides.
[tex]\sqrt{x^2} = \sqrt{5}[/tex] [tex]x = \sqrt{5}[/tex]Therefore, x = √(5).
(20 POINTS, RIGHT ANSWER ONLY PLEASE)
What value is needed to prove the triangles are similar by SAS~?
write vertically and solve step bye step 1.what is 0.24x3.12
Answer:
0.7488
Step-by-step explanation:
0.24
× 3.12
_______
0.48
0.240
+ 0.6200
________
0.748 8
