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valkas [14]
2 years ago
13

Help with Trigonometric identities

Mathematics
1 answer:
Gre4nikov [31]2 years ago
3 0

Answer:

Option 2

Step-by-step explanation:

Since theta is in the third quadrant, the sine of theta is negative.

By the Pythagorean identity,

\sin \theta=-\frac{\sqrt{105}}{13}

So, using the double angle formula for sine, we get that

\sin 2\theta=\frac{16\sqrt{105}}{169}

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Asdfghjkllkjhgfdsaas
natali 33 [55]

Answer:

13

Step-by-step explanation:

(x + 3)^3/2 = 64

√(x + 3)^3 = 64

(x + 3)^3 = 64^2

(x + 3)^3 = (4^3)^2

(x + 3)^3 = (4^2)^3

Same exponent

So

x + 3 = 4^2

x + 3 = 16

x = 13

6 0
3 years ago
Read 2 more answers
Which ratio is equivalent to 7:3?
aliina [53]

Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

3 0
3 years ago
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Over 5 days, Rashid jogged 6.5 miles, 5 miles, 2 miles, 2 miles, and 4.5 miles. Find the mean distance that Rashid jogged
garik1379 [7]

Answer:

4miles

Step-by-step explanation:

mean = (6.5+5+2+2+4.5)/5 = 20/5 = 4

8 0
3 years ago
Distinguish whether the ordered pair (16, -3) is a solution to:
sammy [17]
I believe you should try to plug in the ordered pair to see if the solutions work.

The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.

Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.

Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.

(16,-3) is a solution to both equations.

Hope this helps!
5 0
3 years ago
Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of th
UNO [17]

Answer:

Can't be determined.

Step-by-step explanation:

From the fact that the quadrilaterals are similar:

Corresponding sides are in proportion and

Corresponding angles are congruent.

We can't create a proportion, so there's nothing else that we can determine.

4 0
3 years ago
Read 2 more answers
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