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Iteru [2.4K]
3 years ago
8

How could you explain the sine and cosine relationships to someone who doesn't know about the unit circle? What visuals could yo

u use to help explain the idea of how these two measures are related?

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.

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Find the 14th term of the geometric sequence 10,40,160
Galina-37 [17]

Answer:

671,088,640.

Step-by-step explanation:

To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:

10 x (4 ^ 13) = X

10 x 67,108,864 = X

671,088,640 = X

Therefore, the 14th term of the geometric sequence will be 671,088,640.

3 0
3 years ago
Isabella buys a computer that is on sale for 30% off the original price. The original price is $216 more than the sale price.
kakasveta [241]

Answer:

720

Step-by-step explanation:

<em>Set the problem up as a proportion</em>

<em />\frac{216}{x}= \frac{30}{100}<em />

<em>cross multiply</em>

<em />21600=30x<em />

<em>divide both sides by 30</em>

<em />720=x<em />

<em />

<em>plz mark me brainliest. :)</em>

7 0
3 years ago
solve using a system of equations. a pharmacist wants to mix two solutions to obtain 350 cc of a solution that has a 14% concent
Pavlova-9 [17]

Answer:

105 cc of 7% solution

245 cc of 17% solution

Step-by-step explanation:

If x = volume of 7% solution, and y = volume of 17% solution, then:

x + y = 350

0.07x + 0.17y = 0.14(350)

Solve with substitution:

0.07x + 0.17(350 − x) = 0.14(350)

0.07x + 59.5 − 0.17x = 49

10.5 = 0.10x

x = 105

y = 245

7 0
3 years ago
A test has 40 questions. Denise finished 2\5 of the questions in the first 10 minutes and 1\2 of the total questions in the next
leonid [27]

Answer:

28 questions answered.

Step-by-step explanation:

40(2/5) is 16 questions.

40-16 is 24 questions left.

24(.5) is 12 questions.

16+12 gets you 28 questions.

8 0
3 years ago
Shay mal e 8 2/3 cups of snacks mix she puts all the snack mix into plastic bags she puts 1/3 cup of the snack mix in each bag h
AnnyKZ [126]

Answer:

She needs 26 plastic bags.

Step-by-step explanation:

Given:

Amount of cups of snacks mix = 8 2/3

Rewriting 8 2/3 we get,

Amount of snacks mix = \frac{26}{3}

Number of Cups in each bag = \frac{1}{3}

She puts all the snacks mix in plastic bags

We need to find the number of plastic bags required to put all the snacks mix

Let number of plastic bag be x.

hence we can say that Number of Cups in each bag multiplied by number of plastic bag is equal to  Amount of snacks mix.

\frac{1}{3}x=\frac{26}{3}\\\\x= \frac{26\times3}{3\times1} =26

Hence total number of plastic bags she needs is 26.

6 0
3 years ago
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