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marshall27 [118]
3 years ago
15

Prove sin^2(pi÷8+a)-sin^2(pi÷8-a)=√2÷2sin 2a help me, thanks​

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

True

Step-by-step explanation:

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The movie started at 11:45 and ended at 1:20 how long was the movie
igor_vitrenko [27]
11:45 ---> 01:20

11:45 + (00:15 + 01:00 + 00:20)

= 01:20

So your answer is:

01:35 which is 1 hr, 35 mins.
5 0
3 years ago
What type of triangle has an exterior angle that is obtuse at two vertices? Explain your reasoning.​
navik [9.2K]

Answer:

A right triangle

Step-by-step explanation:

A right triangle would meet these characteristics. A triangle's inner angles always add up to be 180 degrees. A right triangle has one angle at 90 degrees meaning the other two angles need to be less than 90 degrees and sum up to be 90 degrees. This would indicate that both of these angles' exterior angles would be obtuse because they would be wider than 90 degrees.

5 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
Given the residual plot below which of the following statements is correct?
Whitepunk [10]

i think it is D because the patten is non linear

4 0
3 years ago
I am a number between 20 and 30. When you divide me into 6 equal groups, there is an even number in each group and 2 are left ov
elena55 [62]
26, 26 is the answer. Because u divided by 6 and that gives u 4 with a Remainder of 2
3 0
3 years ago
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