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Alexus [3.1K]
3 years ago
12

Sin pi/4 sin pi/6= 1/2(_____ pi/12-cos 5pi/12)

Mathematics
2 answers:
jonny [76]3 years ago
7 0

Answer: sin pi/4 sin pi/6 = 1/2(cos pi/12 - cos 5pi/12)

correct on apex

Vanyuwa [196]3 years ago
3 0

Answer:

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

Step-by-step explanation:

We are given that

sin\frac{\pi}{4} sin\frac{\pi}{6}

We have to correct value in blank space.

We know that identity

sin xsiny=\frac{cos(x-y)-cos(x+y)}{2}

Using this identity

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{\pi}{4}-\frac{\pi}{6})-cos(\frac{\pi}{4}+\frac{\pi}{6})}{2}

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{cos(\frac{3\pi-2\pi}{12}-cos(\frac{3\pi+2\pi}{12})}{2}

sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

Answer:sin\frac{\pi}{4}sin\frac{\pi}{6}=\frac{1}{2}(cos\frac{\pi}{12}-cos\frac{5\pi}{12})

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Given Circle S, what is the area of the shaded sector, to the nearest<br> square centimeter?
madam [21]

Answer:

51

Step-by-step explanation:

area = pi x r^2

so

3.14 x 25

around 76

so

2/3 of 76

is

51

8 0
3 years ago
2560 round to the nearest thousand
malfutka [58]
3,000

whenever a number is 500 or over, you round it to the next thousand

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6 0
3 years ago
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$34,300 loan at 3.5% for 4 months.
cestrela7 [59]

keeping in mind that 4 months is not even a year, since there are 12 months in a year, 4 months is then 4/12 years.

let's assume is simple interest.


\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$34300\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ A=34300\left[ 1+(0.035)\left( \frac{1}{3} \right) \right]\implies A= 34300(1.011\overline{6})\implies A=34700.1\overline{6}

5 0
3 years ago
Can someone help me please <br> I will mark you brainliest ❣️
Mnenie [13.5K]

9514 1404 393

Answer:

  26. B(t) = 500·1.075^t; B(6) ≈ $772

  27. G(t) = 70·0.72^t; G(3) ≈ 26 g

Step-by-step explanation:

The equation with the plus sign is used when the value is increasing. The minus sign is used when the value is decreasing. The 'a' in each equation is the initial value.

__

26. B(t) = 500·1.075^t

  B(6) = 771.65

The balance after 6 years is about $772.

__

27. G(t) = 70·0.72^t

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About 26 grams are left after 3 days.

8 0
3 years ago
If ||| m, solve for x and y.
rosijanka [135]

Answer:

x = 11, y = 3

Step-by-step explanation:

(13x - 19) and (9x + 25) are corresponding angles and congruent, thus

13x - 19 = 9x + 25 ( subtract 9x from both sides )

4x - 19 = 25 ( add 19 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

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(17y + 5) and 124 are alternate angles and are supplementary, thus

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17y + 129 = 180 ( subtract 129 from both sides )

17y = 51 ( divide both sides by 17 )

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4 0
3 years ago
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