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lina2011 [118]
2 years ago
11

GIVING BRAINLIEST PLZ HELP !!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
zaharov [31]2 years ago
7 0
By making the ramp as long as possible
Mnenie [13.5K]2 years ago
4 0

Answer:

D

Step-by-step explanation:

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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
If there is an 8% tax on 1.00 item what is the total amount of the transaction
harina [27]
The total price would be $1.08! Hope this Helps :-)
4 0
3 years ago
Read 2 more answers
Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6
Ksenya-84 [330]
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

7 0
3 years ago
For every point on the graph of FX there is a point on the graph of -1x with reversed coordinates
Y_Kistochka [10]
The answer is False
6 0
3 years ago
Two products when calcium carbonate is heated
erik [133]

Answer:

When heated calcium carbonate forms calcium oxide and carbon dioxide.

7 0
3 years ago
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