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LenaWriter [7]
3 years ago
10

Given sin theta = 2/5 and 0 theta 90 find sin 2 theta

Mathematics
2 answers:
krok68 [10]3 years ago
7 0

Answer:

The value of \sin^2 \theta=\frac{4}{25}                                                                            

Step-by-step explanation:

Given : \sin \thet=\frac{2}{5} and  0

To find : The value of \sin^2\theta ?

Solution :

We have given the value of \sin \thet=\frac{2}{5} and  0

To find \sin^2\theta we just have to square \sin\theta

\sin \theta=\frac{2}{5}

Squaring both sides,

(\sin \theta)^2=(\frac{2}{5})^2

\sin^2 \theta=\frac{4}{25}

Therefore, The value of \sin^2 \theta=\frac{4}{25}

Liono4ka [1.6K]3 years ago
6 0

Given:  sin theta = 2/5.  This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively.  The adj side is found using the Pyth. Thm.:  5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).

The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.

In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:

                                                                              (4/25)*sqrt(21).

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-24n - 30, i suggest using math.way before asking a math question aha
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2 years ago
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1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side,
maksim [4K]

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

8 0
3 years ago
Quick guys, I need some help on this
worty [1.4K]

Answer:

I think c

(not sure though)

3 0
2 years ago
(pls help quick and explain how you got the answers for brainliest)
scoray [572]

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

7 0
2 years ago
I have no clue what i am doing -------- pls help lol 40 points
Katyanochek1 [597]

Step 1: Find X

3x + 7 + 9x + 17

Add the alike terms: 12x + 24

Linear is 180 degree, 12x + 24 = 180; now find x

X = 13

Now find the degree for both.

RST: 3 (13) + 7 = 46

VST: 9 (13) + 17 = 134

You're answer is A

4 0
3 years ago
Read 2 more answers
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