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Radda [10]
3 years ago
15

Solve -2a-5>3. which graph shows the solutions?​

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

- 2a - 5 > 3 ( add 5 to both sides )

- 2a > 8

Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity

a < - 4

Since a is less than we require an open circle at - 4 on the number line.

Since less than the arrow head is pointing to the left, that is

Graph A, the top graph illustrates the solution

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In Triangle LMN, &lt; M is a right angle. If MN = 10 and LN = 20.4, determine m &lt; N to the nearest degree.
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cos θ = \frac{adjacent}{hypotenuse}

cos ∠N = \frac{10}{20.4}

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Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

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sin150° = sin30° = \frac{1}{2}

Given

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3 years ago
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

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x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

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<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
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