Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
What is the absolute value of |-7|
Answer:
Step-by-step explanation:
the absolute vale of -7 is 7
Answer:
absolute value of l-7l is 7
stay safe healthy and happy.What is the surface area of the composite solid?
A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.
Answer:
162 m^2
Step-by-step explanation:
Tops:
The area of the high top is 3*2 = 6
The area of the lower top is 5*2 = 10
--------
16
Bottom:
The area of the bottom is 8*2 =16
Back:
The area of the back is 2*11 = 22
Front:
The top front is 9*2 =18
The bottom front is 2*2 =4
-------------------------------------------
22
Sides
The area of the left side is
vertical piece 11*3 =33
horizontal piece 5*2 = 10
-------------
43
The right side is the same = 33+10 = 43
Add them together
top+bottom+ back+front+left+right
16+16+22+22+43+43 =162 m^2
If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.
Answer:
B
Step-by-step explanation:
x*3/7=42
divide 42 by 3/7: 42*7/3=98
x=98
Answer:
B) 98
Step-by-step explanation:
3/7 = 42/x
3x = 294
x = 98
Help me with the question
Answer:
Step-by-step explanation:
Morgan invested $1,200 in an account that pays 6% annual simple interest. Morgan will not make any additional deposits or withdrawals. How much interest will Morgan earn on her investment at the end of 7 years?
Answer:
Step-by-step explanation:
Simple interest per year = $17,500 (0.0825) = $1,443.75 Simple interest = $8,662.50 Joseph Harris is considering an investment that pays 6.5 percent annually
What is the greatest common factor of 50, 40, and 20?
Answer:
10
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The gcf is 10
Step-by-step explanation:
hey! please help i’ll give brainliest
Answer:
Heyo! the answer is A since their implying it's important :)
Randy has 36 tiles.
How should he arrange them so that he has the smallest perimeter?
A.
4 by 9 rectangle
B.
3 by 12 rectangle
C.
1 by 36 rectangle
D.
6 by 6 rectangle
Answer:
Smallest perimeter setup is (6 by 6 rectangle)
Step-by-step explanation:
Given:
Total number of tile = 36
Find:
Smallest perimeter setup
Computation:
Perimeter = 2(a + b)
So,
Perimeter if (4 by 9 rectangle )
Perimeter if (4 by 9 rectangle ) = 2[4+9]
Perimeter if (4 by 9 rectangle ) = 2[13]
Perimeter if (4 by 9 rectangle ) = 26
Perimeter if (3 by 12 rectangle )
Perimeter if (3 by 12 rectangle ) = 2[3+12]
Perimeter if (3 by 12 rectangle ) = 2[15]
Perimeter if (3 by 12 rectangle ) = 30
Perimeter if (1 by 36 rectangle )
Perimeter if (1 by 36 rectangle ) = 2[1+36]
Perimeter if (1 by 36 rectangle ) = 2[37]
Perimeter if (1 by 36 rectangle ) = 74
Perimeter if (6 by 6 rectangle )
Perimeter if (6 by 6 rectangle ) = 2[6+6]
Perimeter if (6 by 6 rectangle ) = 2[12]
Perimeter if (6 by 6 rectangle ) = 24
So,
Smallest perimeter setup is (6 by 6 rectangle)
Help please!please ASAP
Answer:
y = 3x + 1
Step-by-step explanation:
If you place a 37-foot ladder against the top of a building and the bottom of the ladder
is 22 feet from the bottom of the building, how tall is the building? Round to the
nearest tenth of a foot.
Answer:
28
Step-by-step explanation:
Can someone please help me??
Answer:
2 2/3
Step-by-step explanation:
I used a calculator. -2.33-(-5)=2.67
Answer:
A
Step-by-step explanation:
It cannot be D, because you are subtracting the whole numbers, or B and D, because the fraction does not change.
So, if you were to solve it, you are just subtracting the whole numbers, and leaving the fraction alone. So the fraction will stay as [tex]\frac{1}{3}[/tex], while you just subtract the whole numbers.
-2+5 = 3
The answer is 3[tex]\frac{1}{3}[/tex]
Evaluate: f(2) =
Helpppp
Answer:
32
Step-by-step explanation:
Each of 2 boxes of markers held 6 markers. Each of 3 packs of
rulers held 4 rulers.
How many markers and rulers were there altogether?
If 2x + 4 = 10. What is the value of x
Answer:
x=3
Step-by-step explanation:
You subtract the 4 from +4 d +10 and then you left with 2x=6
Then you divide the numbers both by 2 so you are left with x=3.
Have a nice day!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
2x + 4 - 4 = 10 - 4
2x ÷ 2 = 6 ÷ 2
x = 3
You spin the spinner once.
What is P(3)?
Answer:
You spin the spinner once. What is P(3)? Answer : 8%.
Use trigonometry to solve for the indicated side. Show all work
in CANVAS. Round to one decimal point (the nearest tenth).
What is the length of segment DE?
E
6
50°
D
F
Answer:
x=7.2
Step-by-step explanation:
Tan=O/A
=x/6
Tan50=x/6
×6 on both sides
6× Tan50=7.2
Answer:
DE ≈ 7.2
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan50° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{DE}{EF}[/tex] = [tex]\frac{DE}{6}[/tex] ( multiply both sides by 6 )
6 × tan50° = DE , then
DE ≈ 7.2 ( to the nearest tenth )
Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*
Answer:
about 1.18 is the closest is what i got
Step-by-step explanation:
(8x10^-3)+(2 x 10^-4)
Answer:
0.0082
Step-by-step explanation:
The area of a triangle is 36 4 5 units squared and the height of the triangle is 9 1 5 units. What is the length of the triangle's base?
Answer:
I think it should be somewhere around 3528.3
Step-by-step explanation:
this is because 3645 squared minus 915 squared is 12448800 and the square root of that is 3528.3 I could be wrong though but just trying to help
an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?
Answer:
50
Step-by-step explanation:
to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U
cos 0 = 12/13. Find sin 0.
A. 5/12
B. 12/5
C. 13/12
D. 5/13
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
[tex]Cos \theta = \frac{Adjacent}{Hypothenus}\\\\Cos \theta = \frac{12}{13}[/tex]
Adjacent = 12
Hypothenus = 13
Opposite =?Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?[tex]Sine\theta = \frac{Opposite}{Hypothenus}\\\\Sine\theta = \frac{5}{13}[/tex]
Therefore, the value of Sine θ is 5/13
Learn more: https://brainly.com/question/23699928
Answer:
D. 5/13
Step-by-step explanation:
Determine the measures of A, B, C and D.
Answer:
[tex]\angle A = 32 \deg[/tex]
[tex]\angle B = 105 \deg[/tex]
[tex]\angle C = 94 \deg[/tex]
[tex]\angle D = 138 \deg[/tex]
Find the indicated term in the sequence.
Please show steps too! Thank you.
Answer:
Value of An if n is 17 = -834
Step-by-step explanation:
Given:
A100 = 245
d = 13
n = 17
Find:
Value of An if n = 17
Computation:
An = a + (n-1)d
A100 = a + (100-1)13
245 = a + (99)17
245 = a + 1,287
a = 245 - 1,287
a = -1,042
So,
Value of An if n = 17
An = a + (n-1)d
A17 = -1,042 + (17-1)(13)
A17 = -1,042 + (16)(13)
A17 = -1,042 + 208
A17 = -834
Value of An if n is 17 = -834
nikki and dave both work as cleaners
Answer:
$80.00
Step-by-step explanation:
what is the volume of the square pyramid
Answer:
3710.67 mm
Step-by-step explanation:
The formula is a^2 h/3
a = 22 h = 23
First, do 22 squared which is 484.
Now do 23 divided by 3 which is 7.666666667
Now multiply 484 and 7.666666667 together to get
3710.666667 or 3710.67 mm
30. Which of the following is the algebraic form for the verbal statement shown?
“13 more than the product of 4 and a number, n”
A,B,C, Or D
Answer:
Choice B
Step-by-step explanation:
4n (product of 4 and n) + 13 (13 more)
Answer:
B
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
insects adapted for stronger flight may survive in greater numbers.
Please Help I Will Give Brainliesttt!Select the correct answer. What was the most common rating in the 26-35 age group? Average B. Good C. Excellent D. Poon
Answer:
B. Good
Step-by-step explanation:
26-35 age group:
Excellent - 33/97
Good - 50/97
Average - 5/97
Poor - 9/97
PLEASE PLS HELP THANK YOU
x = ___ cm
Answer:
x = 7
Step-by-step explanation:
5/(40+5) = 3/(2x+10+3)
1/9 = 3/(2x+13)
2x+13 = 3×9
2x = 27 - 13
x = 14/2
x = 7
Answer:
Step-by-step explanation:
Since they are directly proportional:
5cm -> 3cm
40cm -> y
y = 120/5
= 24cm
2x+10 = 24
2x = 14
x = 7cm
Feel free to mark it as brainliest :D