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Serga [27]
2 years ago
15

What is the measure of angle c​

Mathematics
1 answer:
irakobra [83]2 years ago
6 0

Answer:

? wouldn't it be obtuse

Step-by-step explanation:

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How do you write 2x simplified?
Inga [223]

Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

4 0
2 years ago
Evaluate the expression under the given conditions. tan(2); cos() = 5 13 , in quadrant i
Nataliya [291]

The solution to given expression tan(2θ) is 22.615°

For given question,

We have been given an expression tan(2θ)

Given that cos(θ) = 5/13, and θ is in quadrant 1.

We know that the trigonometric identity

sin²θ + cos²θ = 1

⇒ cos²θ = (5/13)²

⇒ sin²θ = 1 - 25/169

⇒ sin²θ = 169 - (25/169)

⇒ sin²θ = 144/169

⇒ sin(θ) = 12/13

We know that the identity cos(2x) = cos²x - sin²x

⇒ cos(2θ) = cos²θ - sin²θ

⇒ cos(2θ) = 25/169 - 144/169

⇒ cos(2θ) = -119/169

And sin(2x) = 2sin(x)cos(x)

⇒ sin(2θ) = 2sin(θ)cos(θ)

⇒ sin(2θ) = 2 × 12/13 × 5/13

⇒ sin(2θ) = 120/169

We know that, tan(x) = sin(x)/cos(x)

⇒ tan(2θ) = sin(2θ)/cos(2θ)

⇒ tan(2θ) = (120/169) / (-119/169)

⇒ tan(2θ) = 120 / (-119)

⇒ tan(2θ) = -1.008

Since θ is in quadrant 1, tan(2θ) = 1.008

⇒ 2θ = arctan(1.008)

⇒ 2θ = 45.23

⇒ θ = 22.615°

Therefore, the solution to given expression tan(2θ) is 22.615°

Learn more about the expression here:

brainly.com/question/14961928

#SPJ4

7 0
2 years ago
Please help urgently.
const2013 [10]

Answer:

No

Step-by-step explanation:

He's only won 50% of the games bc he lost one and one one. 1/2

7 0
2 years ago
Solve the equation. 4(x − 7) − 128 = 9x − 5(x + 6)
vichka [17]

The equation 4(x − 7) − 128 = 9x − 5(x + 6) has no solution

<h3><u>Solution:</u></h3>

Given that 4(x − 7) − 128 = 9x − 5(x + 6)

We have to find the solution for this equation

4(x − 7) − 128 = 9x − 5(x + 6)

Let us use BODMAS rule to perform the sequence of operations

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

So let us solve for brackets first

4x - 28 - 128 = 9x - 5x - 30

Now let us perform subtraction

4x - 156 = 4x - 30

Now move the terms from R.H.S to L.H.S

4x - 4x = -30 + 156

0 \neq 126

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”

So this equation has no solution

4 0
3 years ago
Help please
algol [13]

An Ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the system through photosynthesis and is incorporated into plant tissue. By feeding on plants and on one another, animals play an important role in the movement of matter and energy through the system. They also influence the quantity of plant and microbial biomass present. By breaking down dead organic matter, decomposers release carbon back to the atmosphere and facilitate nutrient cycling by converting nutrients stored in dead biomass back to a form that can be readily used by plants and other microbes.

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6 0
2 years ago
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