What is your last question?
g)
(Sin 5A - Sin 7A - Sin 4A + Sin 8A)÷
(Cos 4A - Cos 5A - Cos 8A + Cos 7A)=
Cot 6A
We use a similar strategy as in your previous question. Rewrite:
sin(5x) = sin(6x - x) = sin(6x) cos(x) - cos(6x) sin(x)
sin(7x) = sin(6x + x) = sin(6x) cos(x) + cos(6x) sin(x)
→ sin(5x) - sin(7x) = -2 cos(6x) sin(x)
sin(4x) = sin(6x - 2x) = sin(6x) cos(2x) - cos(6x) sin(2x)
sin(8x) = sin(6x + 2x) = sin(6x) cos(2x) + cos(6x) sin(2x)
→ sin(8x) - sin(4x) = 2 cos(6x) sin(2x)
cos(5x) = cos(6x - x) = cos(6x) cos(x) + sin(6x) sin(x)
cos(7x) = cos(6x + x) = cos(6x) cos(x) - sin(6x) sin(x)
→ cos(7x) - cos(5x) = -2 sin(6x) sin(x)
cos(4x) = cos(6x - 2x) = cos(6x) cos(2x) + sin(6x) sin(2x)
cos(8x) = cos(6x + 2x) = cos(6x) cos(2x) - sin(6x) sin(2x)
→ cos(4x) - cos(8x) = 2 sin(6x) sin(2x)
Then
(sin(5x) - sin(7x) - sin(4x) + sin(8x)) / (cos(4x) - cos(5x) - cos(8x) + cos(7x))
= (2 cos(6x) sin(2x) - 2 cos(6x) sin(x)) / (2 sin(6x) sin(2x) - 2 sin(6x) sin(x))
= (2 cos(6x) (sin(2x) - sin(x))) / (2 sin(6x) (sin(2x) - sin(x)))
= cos(6x) / sin(6x)
= cot(6x)
QED
A recipe for giant soap bubbles uses 1/2 cup dishwashing liquid and 4 1/2 cups of water. How many cups of water will be used with 1 1/2 cups of dishwashing liquid?
A. 5 1/2
B. 6
C. 9
D. 13 1/2.
Answer: D. 13 1/2.
Step-by-step explanation:
1/2*3= 1 1/2 cups of dishwashing liquid.
4 1/2*3= 13 1/2 cups of water will be used with 1 1/2 cups of dishwashing liquid.
You rent an apartment that costs $1800 per month during the first year, but the rent is set to go up 9.5% per year. Write a recursive formula to show what the rent is during the nth year of living in the apartment.
Answer:
Step-by-step explanation:
You rent an apartment that costs \$1800$1800 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 9th year of living in the apartment?
\text{Write out the first 3 terms:}
Write out the first 3 terms:
a_1=1800\leftarrow \text{rent in 1st year}
a
1
=1800←rent in 1st year
a_2=1960\leftarrow \text{rent in 2nd year}
a
2
=1960←rent in 2nd year
a_3=2120\leftarrow \text{rent in 3rd year}
a
3
=2120←rent in 3rd year
\text{Arithmetic Sequence: }d=160
Arithmetic Sequence: d=160
The common difference
\text{Explicit Formula: }
Explicit Formula:
a_n=
a
n
=
\,\,a_1+(n-1)d
a
1
+(n−1)d
a_{\color{green}{9}}=
a
9
=
\,\,1800+(\color{green}{9}-1)(160)
1800+(9−1)(160)
a_{9}=
a
9
=
\,\,3080
3080
Can someone please help? I’m a little stuck here.
Factor Differences Of squares.
Answer:
29. 9p(2p+1)(2p-1)
31. 4k(2k+5)(2k-5)
Step-by-step explanation:
29. 9p(36p^3/9p-9p/9p)
9p(4p^2-1)
9p((2p)^2-1^2)
9p(2p+1)(2p-1)
31. 4k(16k^3/4k+-100k/4k)
4k(4k^2-25)
4k((2k)^2-5^2)
4k(2k+5)(2k-5)
2
Select the correct answer.
Simplify the following expression.
Answer:
The answered would be 1/64 since it's simplified
Answer:
I think the exact form is 1/64
Who is most likely to be in favor of protectionist policies? A. A government that wants to contain the cost of public services B. A producer who is concerned about training workers C. A consumer who wants to pay lower prices D. A factory worker who is concerned about keeping a job
Answer:
A. A government that wants to contain the cost of public services
Step-by-step explanation:
a number was subtracted from 7 and that difference was the divided by 2. after which the quotient was multiplied by 4. this product was 4. what was the difference
Answer:
Difference is 9-7 = 2
Given number is 9
Step-by-step explanation:
Assume;
Given number is x
So,
Subtracted from 7;
x - 7
Divided by 2
(x-7)/2
Multiplied by 4
[(x-7)/2]4
Product was 4
[(x-7)/2]4 = 4
x-7 = 2
x = 9
Given number is 9
Difference is 9-7 = 2
460divided by 9 estimated would be 50
Answer:
it would be 51
Step-by-step explanation:
460 divided by 9 is 51.111...
so the estimated result would be 51 since 51.111... rounds down to 51
Look at the student work shown below.
Simplify: 6t(5s + 7).
(6t)(5s) + 7
30st + 7
Did the student correctly simplify the expression? If “yes,” explain the steps the student followed. If “no,” explain what the student did wrong and what should have been done. 20 points. WILL MARK THE BRIANLIEST!!!! PLS HURRY!! ANY WRONG ANSWERS WILL BE FLAGGED.
Answer:
NO WRONG (6T)(5S)+7 IS WRONG YOU ARE SOPOSED TO ADD THAT 6+5=11 11+7=18 18 DIVIDED BY 7=2.5
Step-by-step explanation:
SORRY FO CAPLOCK THAT HOW I TYPE SIR
GIVING BRAINLIEST AFTER TWO ANSWERS ARE GIVEN!!! WILL CHOOSE THE BEST ONE!!!
Answer:
D
Step-by-step explanation:
Answer:5
Step-by-step explanation:
hihihi
please help!!
My age today is
three times what it
will be three years
from now
minus three times
what my age was three
years ago.
How old am I?
Find the length of AC
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \cot(A) = \frac{AC}{BC} \\ [/tex]
[tex] \cot(60°) = \frac{AC}{8 \sqrt{3} } \\ [/tex]
[tex] \frac{1}{ \sqrt{3} } = \frac{AC}{8 \sqrt{3} } \\ [/tex]
[tex] \frac{AC}{8 \sqrt{ 3} } = \frac{1}{ \sqrt{3} } \\ [/tex]
Multiply sides by 8√3
[tex]8 \sqrt{3} \times \frac{AC}{8 \sqrt{3} } = 8 \sqrt{3} \times \frac{ 1 }{ \sqrt{3} } \\ [/tex]
[tex]AC = 8[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Anyone know this one ??
Answer:
C- 1/2 squash per month
Have a Good one!
We want to factor the following expression: (x+7)^2+2y(x+7)+y^2 which patter can we use to factor the espression? U and V are either constant integers or single-variable expressions.
A. (U+V)^2 or (U-V)^2
B. (U+V)(U-V)
C. We can’t use any of the patterns.
Answer:
A. (U+V)^2 or (U-V)^2
Step-by-step explanation:
Is the relation a function?
(9,-8) (12, 7) (1, 13) (-9, 3) (4, 0)
Yes
No
No answer text provided.
O No answer text provided.
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= −16t^2 + 8t + 48, where t is the time (in seconds) after he throws the marshmallow.
How long does it take the marshmallow to hit the ground, where h=0?
0.5 minutes
3 seconds
1.5 minutes
1.5 seconds
*2 seconds* answer
2 minutes
0.5 seconds
3 minutes
Sorry I don't need help
Answer:
b trust me
Step-by-step explanation:
trust
X + 8 = -15
What does x= ???
Answer: x=−23
Step-by-step explanation:
Let's solve your equation step-by-step.
x+8=−15
Step 1: Subtract 8 from both sides.
x+8−8=−15−8
x=−23
If a point is randomly chosen on the regular hexagon shown, what is the probability that it will be in a green section of the figure?
1/6
1/3
1/2
3/4
Answer:
1/2
Step-by-step explanation:
i just took the test on usatestprep
Answer:
1/2
Step-by-step explanation:
[tex]\sqrt[3]{250} -\sqrt[3]{54}[/tex]
help plzz
Answer:
exact form: 2 ^3√2
Step-by-step explanation:
Tell me which if these two tables are functions or not and why
Find the slope of the line that goes through the points (0, 9) and (-2, -4).
Answer:
I think it is 13 over 2
Step-by-step explanation:
what is 250 to 400 in percentage
Answer:
60%
Step-by-step explanation:
:))))))
step 1 Address the formula, input parameters & values
Formula :
Increase
Initial Value
x 100 = Percent Increase (%)
Initial Value X = 250 & New Value Y = 400
Increase = (Y - X)
(400 - 250)
250
x 100 = ?
step 2 Apply the values in the percentage increase {(Y - X)/X x 100} formula
=(400 - 250)
250
x 100
=150
250
x 100
= 60%
(400 - 250)
250 x 100 = 60%
60 percent increase (%↑) or raise from 250 is 400 or 160% of 250 is 400
Answer:
62.5%
Step-by-step explanation:
Divide 250 by 400 to get 0.625. Then, multiply by 100 to get the percentage, 62.5%.
Find x. Round your answer to the nearest tenth of a degree.
Answer:
If x is the corner mostly and you said round it to the nearest tenth , rounding 9 to the nearest tenth would be 10 and same for 15.
Step-by-step explanation:
i need help to solve please
Step-by-step explanation:
3x+13+8x+14=180-109
11x+27=71
11x=44
x=4
quadrilateral ABCD is inscribed in circle E. the m<A=152 find m<C
Answer:
The angle for C is 28°.
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles are supplementary which means that both angles add up will be 180° :
∠A + ∠C = 180°
152° + ∠C = 180°
∠C = 180° - 152°
∠C = 28°
Answer:
B. 28
Step-by-step explanation:
The answer above me is right, I used their answer on my question earlier and I ended up getting the question right. Hope this helps!
Explain how to use the distributive property to find the product (3) 4 1/5
Answer:
[tex]\frac{63}{5}[/tex]
Step-by-step explanation:
Given expression:
(3) 4[tex]\frac{1}{5}[/tex]
The distributive law is mostly applied to multiplication and division which helps to expand a parentheses;
4[tex]\frac{1}{5}[/tex] can be written as [tex]\frac{21}{5}[/tex]
Now;
(3) [tex]\frac{21}{5}[/tex]
With distributive property, we simply multiply the two terms;
3 x [tex]\frac{21}{5}[/tex] = [tex]\frac{63}{5}[/tex]
Answer:
Rewrite 3 ( 4 1 /5 ) as 3 ( 4 + 1 5 ) . Distribute the 3 to get 3(4) + 3 ( 1 /5 ) . Multiply to get 12 + 3 /5 . Then add to get 12 3 /5
Step-by-step explanation:
Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. She wondered which fourth angle would work to prove that triangle RST is similar to triangle EFG. Draw a sketch of the triangle. Then pick one angle measurement that would prove the triangles are similar. Explain to Pyria why knowing that angle would be enough.
Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.
The point (2, 1) is a solution to which of the following systems of equations?
2x + y = 5 and −2x + y = 2
−2x − y = −5 and 2x − y = 2
−x + y = 3 and −3x + y = −5
x + y = 3 and 3x − y = 5
[tex]\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}[/tex]
We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.
System 1 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 2 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}[/tex]
System 3 - [tex]\Large\textbf{X}[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}[/tex]
System 4 - [tex]\Large\checkmark[/tex][tex]\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}[/tex]
Since both equations in the final system are true when solved with [tex](2, 1)[/tex], the answer is the last system.
Consider the equation and its solution.
8(x-2) = 64
8x-18-84
8x = 80
X=10
Which property is used in the last step to find thatx-10?
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
division property of equality
Step-by-step explanation:
The property used in the last step to find x = 10 in the expression is the division property of equality.
8(x-2) = 64
8x-18 = 84
8x = 80
x = 10
In 8x = 80 ;
Division property of equality was used to find the value of x.
The property states that when we divide both sides by a non-zero value, the two sides remains the same.
what is the value of x in the function f(x)=3/2x-4 when f(x)=5?
Answer:
3.5
Step-by-step explanation:
3/2(5) - 4
= 1.5(5) - 4
= 7.5 - 4
= 3.5
Hope this helped!