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Simora [160]
2 years ago
10

Which number is an integer?

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

there is no question for me to tell you what it is

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Really struggling with this, can someone please help me out and give me a brief explanation? Id greatly appreciate it.
dsp73

Answer:

jjjjjjjjjjjjjjjjjjjjj

Step-by-step explanation:

7 0
3 years ago
The regular price of a TV is $475. It's currently on sale for 30% off. What is
Hitman42 [59]

Answer:

You will pay $332.50 for a item with original price of $475 when discounted 30%

meaning the discount is $142.50

Step-by-step explanation:

if you buy an item at $475 with 30% discount, you will pay 475 - 142.5 = 332.5 dollars.

please give brainliest and thanks if possible

7 0
2 years ago
Find the exact value of sin(cos^-1(4/5))
boyakko [2]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2762144

_______________


Let  \mathsf{\theta=cos^{-1}\!\left(\dfrac{4}{5}\right).}


\mathsf{0\le \theta\le\pi,}  because that is the range of the inverse cosine funcition.


Also,

\mathsf{cos\,\theta=cos\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{5}}\\\\\\ \mathsf{5\,cos\,\theta=4}


Square both sides and apply the fundamental trigonometric identity:

\mathsf{(5\,cos\,\theta)^2=4^2}\\\\
\mathsf{5^2\,cos^2\,\theta=4^2}\\\\
\mathsf{25\,cos^2\,\theta=16\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{25\cdot (1-sin^2\,\theta)=16}

\mathsf{25-25\,sin^2\,\theta=16}\\\\
\mathsf{25-16=25\,sin^2\,\theta}\\\\
\mathsf{9=25\,sin^2\,\theta}\\\\
\mathsf{sin^2\,\theta=\dfrac{9}{25}}


\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{9}{25}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{3^2}{5^2}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{3}{5}}


But \mathsf{0\le \theta\le\pi,} which means \theta lies either in the 1st or the 2nd quadrant. So \mathsf{sin\,\theta} is a positive number:

\mathsf{sin\,\theta=\dfrac{3}{5}}\\\\\\
\therefore~~\mathsf{sin\!\left[cos^{-1}\!\left(\dfrac{4}{5}\right)\right]=\dfrac{3}{5}\qquad\quad\checkmark}


I hope this helps. =)


Tags:  <em>inverse trigonometric function cosine sine cos sin trig trigonometry</em>

3 0
3 years ago
Read 2 more answers
A plastic sack contains 20 green and yellow, 14 red and yellow, and 16 orange and yellow gummy treats. How much greater is the p
noname [10]

Answer:

Probability of choosing green and yellow treat  is higher than Probability of choosing an orange and yellow treat  by 0.08

Step-by-step explanation:

Given -

Green and yellow gummy treats = 20

Red and yellow gummy treats = 14

Orange and yellow gummy treats = 16

Total gummy treat = 20+14+16 = 50

Probability of choosing green and yellow treat = 20/50 = 0.4

Probability of choosing an orange and yellow treat = 16/50 = 0.32

Probability of choosing green and yellow treat  is higher than Probability of choosing an orange and yellow treat  by 0.08

4 0
2 years ago
If sin(A+B)=1/2 &amp; sin(A-B)=1/3 find sin(2A)
timofeeve [1]

Answer:

sin(2A) = (2√2 + √3) / 6

Step-by-step explanation:

2A = (A+B) + (A−B)

sin(2A) = sin((A+B) + (A−B))

Angle sum formula:

sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)

sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)

Pythagorean identity:

sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]

sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)

sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)

sin(2A) = 1/3 √2 + 1/6 √3

sin(2A) = (2√2 + √3) / 6

6 0
3 years ago
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