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Taya2010 [7]
4 years ago
6

Evaluate the Expression 5 + [1/6 x (4 + 2)] A.6 B.7 C.9 D.11

Mathematics
1 answer:
Contact [7]4 years ago
8 0

Answer:

A.6

Step-by-step explanation:

Step 1: Do the parenthesis first, 4+2 = 6

Step 2: Multiply: 6 x 1/6 = 1

Step 3: 1 + 5 = 6, So the answer is A. 6

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Solve 2 sin 20 - tan 20 = 0 for 0 in [0°, 360°). <br><br> Any help would be really appreciated!
andre [41]

Answer:

Step-by-step explanation:

If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"

Never use 0 as a substitute for θ! 0 is a constant with a specific value.

Since the argument of the trig functions is an expression, you should put parentheses around it:  sin(2A).

:::::

I used several trigonometric identities for this question:

Double-angle formula for sine: sin(2θ) = 2sinθcosθ

Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)

Quotient identity: tanθ = sinθ/cosθ 

Reciprocal identity: secθ = 1/cosθ

Pythagorean identity: 1+tan²θ = sec²θ

2sin(2θ) - tan(2θ) = 0

2sin(2θ) = tan(2θ)

2·2sinθcosθ = 2tanθ/(1-tan²θ)

2sinθcosθ = tanθ/(1-tan²θ)

2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))

2(1-tan²θ) = 1/cos²θ

2(1-tan²θ) = sec²θ

2-2tan²θ) = 1+tan²θ

1 = 3tan²θ

tan²θ = ⅓

tanθ = ±1/√3

θ = 30°, 330°

3 0
3 years ago
X+5-4x+5≤−4 plz help
Klio2033 [76]

Answer: x≥14/3

Step-by-step explanation: Hope this help :D

5 0
3 years ago
Read 2 more answers
What’s the answer to these two?!? Thanks LOVE BRAINLYY
Travka [436]
The answer is either 72 using multiplication with 12 or 6 or it is 18 using addition.Not exactly sure but hope it helps a little
5 0
4 years ago
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Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to
Over [174]

Answer:

R' = (-4 , 4)

Step-by-step explanation:

Given

See attachment for the grid coordinate

From the attachment, we have that:

R = (-4,-2)

Required

Determine the coordinates of the second truck

Represent the position with R'

From the question, we understand the position of R' is 6 above R

When a point (a,b) is moved n point above, the new point becomes (a, b + n)

So:

R = (-4,-2)

When moved 6 points above becomes:

R' = (-4 , -2 + 6)

R' = (-4 , 4)

<em>Hence, (-4,4) answers the question</em>

7 0
3 years ago
How do you simplify numeric and algebraic expressions that contain exponents?
schepotkina [342]
Simply simplify multiplication expressions with a positive exponent
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