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larisa86 [58]
2 years ago
13

What is the product of 3(-16)?

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer: -48

Step-by-step explanation:

16 * 3 = 48

But because the 16 is negative, it becomes -48

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What is cos theta when sin theta = sqrt 2/3
Fittoniya [83]

<u>Answer:</u>

Value of cosθ is ±√7/3 .

<u>Step-by-step explanation:</u>

According to the Question , value of :

\red{\implies sin\theta = \dfrac{\sqrt2}{3}}

And , we know the identity of sine and cosine as ,

\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }

<u>Using</u><u> </u><u>,</u><u> </u><u>this</u><u> </u><u>ident</u><u>ity</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>;</u><u> </u>

\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}

3 0
2 years ago
Please help me with these. God bless you
Digiron [165]
Counting all of the lines, there is About 17
6 0
2 years ago
Read 2 more answers
Please answer I will give BRAINLIEST if i can
N76 [4]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Consider the quadratic function f(y) = 8y2 – 7y + 6. What is the constant of the function?
Over [174]
The constant is 6. A constant is just the number on its own. Quadratics follow the form f(x) = ax^2+bx+c. The c is the constant. 
7 0
3 years ago
You watch a roulette wheel spin 270 consecutive times and the ball lands on a red slot each time. what is the probability that t
Rus_ich [418]
<span>18/37 if you're in Europe, 9/19 if you're in America, assuming the wheel isn't rigged. If the roulette wheel is a fair wheel, the odds on any given spin of the wheel is unaffected by any previous spins of the wheel. So no matter how many times the wheel has consecutively come up red, the next spin can still come up red, black, or green based upon the number of each color is present on the wheel. The difference between the odds for Europe vs America has to do with a quirk about roulette. In Europe, the roulette wheel has 37 slots, 18 red, 18 black, and 1 green. In America, the roulette wheel has 38 slots, 18 red, 18 black, and 2 green. Although in this case, I'd be wary about assuming that the wheel isn't rigged. The odds of 270 consecutive red on a fair wheel is only 1 in 3.09663x10^84 in Europe, or 1 in 4.14949x10^87 in America.</span>
6 0
3 years ago
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