Answers
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
Related Questions
Jenny is solving the equation 3 x + 5 = 4 x + 2 using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?
Answers
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Answer:
C
Step-by-step explanation:
correct on edgen i took the test
I need help with this
Answers
Answer:
44
Step-by-step explanation:
MRQ=136
In a straight line there is 180 degrees
180-136=44
MRS=44 degrees
alternates angle is a z shape so NMRS is one
So you then RMP is 44 degrees.
Hope it helps just tryed
What is the percent equivalent for 1/5? A. 0.2% B. 0.5% C. 20% D. 50%
Answers
Answer:
20%
Step-by-step explanation:
1/5 = 2/10. 2/10 = 0.2, or 20 hunderedths, or 20%.
What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches
Answers
Answer:
2,451 inches.
Step-by-step explanation:
Formula for volume of a cylinder = V=πr2h
r = 13 inches
h = 30 inches
π=22/7 or 3.14
V = 3.14 × 13 × 2 × 30
= 2,451.43
Answer is 2,451.43
A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?
Answers
Answer:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
Step-by-step explanation:
Given that there is a collection of nickels and quarters.
Let N be the number of coins of nickels and
Q be the number of coins of quarters.
It is given that total number of coins are 32.
Number of coins of nickels + Number of coins of quarters = 32
[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.
Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]
and value of a one nickel coin = 5 cents = $0.05
Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]
Similarly,
Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]
Total value of coins is 3 dollars.
[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.
So, the answer is:
[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]
can someone please help
Answers
2x + 2 = 58
2x = 56
X = 28
Answer: 57°
Step-by-step explanation:
Bisecting makes angle ZXY=ZXW. So 58+58=116.
Then solve. 2x+2=116.
2x=114
x=57
Which set of side lengths forms a right triangle?
Answers
Answer:
15, 36, 39
Step-by-step explanation:
Use the Pythagorean theorem.
a² + b² = c²
2² + 3² ≠ 13²
4² + 6² ≠ 10²
9² + 12² ≠ 18²
15² + 36² = 39²
Answer:
15 , 36 , 39Step-by-step explanation:
[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]
What is 2x + 2x + 2 = 4x + 2
Answers
Answer:
I think the answer is 33 I'm not sure but that is what I got
Pls hurry
For what value of the variable is the value of the expression:
8-y two times greater than the value of the expression 7+y?
Answers
Answer:
-2
Step-by-step explanation:
8--2=8+2=10
7+-2=7-2=5
5x2=10.
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
Answers
Please answer the question now in two minutes
Answers
Answer:
the first three options
Step-by-step explanation:
they all have shared points
Mr. sanders recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. According to the table, what was the rate of change between January and May? Answers A) $67 Per Month B) $50 Per Month C) $53 Per Month D) $0 Per Month
Answers
Answer:
D) $0 Per Month.
Step-by-step explanation:
In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.
Hope this helps!
Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.
Answers
Answer:
The coordinate plane where the point is 1 unit to the left and 3.5 units down
Step-by-step explanation:
On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.
Answer:
D
Step-by-step explanation:
Edge 2020
please hellp ......
Answers
Answer:
I DUNNO
Step-by-step explanation:
Answer:
BC = 19.371
Step-by-step explanation:
Use the cosine ratio:
Cos(71°) = 6.3/BC
BC = 6.3/Cos(71°)
BC = 19.371 cm
That's it, Best Regards!
Find the area of triangle ABC whose vertices are
A (-5, 7), B (-4, -5) and C (4, 5).
Answers
Answer:
[tex]Area = 51\:unit^2[/tex]
Step-by-step explanation:
[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]
Find the distance between three points.
[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]
[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]
[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]
Best Regards!
Answer:
53 sq.unitssolution,
A(-5,7)--->(X1,y1)
B(-4,-5)-->(x2,y2)
C(4,5)--->(X3,y3)
Now,
Area of triangle:
[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]
hope this helps...
Good luck on your assignment..
Can someone help me plzzzzz
Answers
Answer:
C
Step-by-step explanation:
Pls help ima mark BRAINLIST and give u a like
Answers
Answer:
C
Step-by-step explanation:
You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.
Answer:
C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]
Step-by-step explanation:
Well I went to Desmos and graphed them.
look at the image below
Help me with this somebody.
Answers
Answer:
B, √140
Step-by-step explanation:
√28+√112 = √140
Select the correct answer.
Based on the data in this two-way table, if a girl is randomly selected, what is the probability that she will have above-average grades?
Gender/Grade Below Average Above Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
A.
0.29
B.
0.51
C.
0.58
D.
0.60
Answers
Answer:
Answer is C. 0.58
Step-by-step explanation:
22/38 = 0.57 something rounded to 58
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answers
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
The sum of the squares of three consecutive even integers is 980. Determine the integers.
Answers
Answer:
16, 18, 20
Step-by-step explanation:
We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...
√(980/3) ≈ 18.09
The integers are 16, 18, 20.
_____
Check
16^2 +18^2 +20^2 = 256 +324 +400 = 980
Answer:
16, 18, 20
Step-by-step explanation:
Let the three consecutive even integers be (x - 2), x, (x + 2)
[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]
Hence, three consecutive even integers are : 16, 18, 20.
.......................
Answers
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).
Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?
Answers
Answer:
The correct answer on EDG-2020 is:
c) ≈471 in.2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
credit to the first guy
Which expression simplifies to 4 √13
√208
√17
√29
√52
Answers
Answer:
√208
Step-by-step explanation:
Step 1: Convert 4 to √
4² = 16
4 = √16
Step 2: Multiply radicals
√16(√13) = √208
Answer:
[tex]\sqrt{208}[/tex]
Step-by-step explanation:
Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.
[tex]\sqrt{208}[/tex]
/\
[tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]
[tex]4\sqrt{13}[/tex]
As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.
Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *
Answers
Answer:
x=2
Step-by-step explanation:
-7+4x+10=15-2x
combine like terms
4x+3=15-2x
add 2x to both sides
6x+3=15
subtract 3 on both sides
6x=12
divide 6 on both sides
x=2
A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?
Answers
Answer:
the following model the membership cost is p=250+42m
(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis
Answers
Answer:
Original Coordinates: (-4, 5)
Step-by-step explanation:
We simply take the opposite directions to find our original coordinates.
Step 1: Translate 3 units down
(-4, -2) --> (-4, -5)
Step 2: Reflect over x-axis
(-4, -5) --> (-4, 5)
I'm not sure if I clicked the right answer, I hope you can help me :D
Answers
Probability of getting green or yellow marble is 7/20, getting blue is 1/4
7/20*1/4=7/80
3. 10 + (8 x 3) - 32
Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answers
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t