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sergey [27]
3 years ago
7

Help me! thank you so much

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

Step-by-step explanation:

\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x

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Is it possible for two numbers to have a difference of 8 and a sum of 1?
topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = \frac{-7}{2}

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

7 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
worty [1.4K]
So here is the answer to the given equation above.
To find the answer, we can just factor this one. 
<span>(2sinθ+1)(sinθ−1)=0</span><span>sinθ = <span><span>−1/</span>2</span>→θ = <span>{<span><span><span>−π/</span>6 </span>+ 2kπ, <span><span>7π/</span>6 </span>+ 2kπ</span>}</span></span><span><span>sinθ=1→θ=<span>{<span><span>π/2 </span>+ 2kπ</span>}
Hope this answers your question. Let me know if you need more help next time. Have a great day!</span></span></span>
8 0
3 years ago
Read 2 more answers
I’ll 40 points for these answers, thank you
attashe74 [19]
1. 24%
2. 13%
3. 60%


1. Since 6/25 is .24, 24% of the class was absent
2. He spent 3 hours in total.. Divide is by 24 because there are 24 hours in a day. 3/24 is 0.125 for 13% of the day
3. He ran 3 of the 5 miles, so 3/5 = 0.6.. meaning 60%. The time doesn’t matter
3 0
3 years ago
Read 2 more answers
A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order
Mazyrski [523]

Answer:

Feed 1, Soybean meal required =  \dfrac{2000}{3} \text{ lbs.}

Feed 2, Corn meal required = \dfrac{4000}{3} \text{ lbs.}

Step-by-step explanation:

Total feed is <em>1 ton</em> i.e. <em>2000 lbs</em>.

Let <em>x</em> be the amount of Feed 1 required.

Feed 1 has 45\% of protein.

\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)

Then, amount of Feed 2 required = (2000 - x) \text{ lbs.}

Feed 2 has 15\% of protein.

\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)

As per question, total protein required is 25\% of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}

Feed 1 required = \dfrac{2000}{3}\text{ lbs .}

Feed 2 required = 2000 - \dfrac{2000}{3}\\

\Rightarrow \dfrac{4000}{3}\text{ lbs.}

7 0
3 years ago
I have to record myself answering questions for my math class and I really need help. I will reward 36 points.
oee [108]

Answer:

If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.

Step-by-step explanation: Hope this helps :)

8 0
3 years ago
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