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Illusion [34]
3 years ago
10

What is 3p + 2 > -10

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

Answer:

p> -4

Step-by-step explanation:

3p + 2 > -10

3p > -10 -2

p> -4

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Answer:

Option (1), (3) and (6) is correct.

m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.

Step-by-step explanation:

  Given : ∠J = 58° , ∠L = 38°  and length of side JK = 2.3 units.

We need to check all the options and choose that follows.

First we find the measure of ∠K

Using angle sum property , Sum of angles of a triangle  is 180°

⇒ ∠J + ∠k + ∠L = 180°

⇒ 58° + ∠k + 38° = 180°

⇒  ∠k + 96° = 180°

⇒  ∠k   = 180° - 96°

⇒  ∠k   = 84°

Also using sine rule on ΔJKL , we get,

\frac{KL}{\sin J}=\frac{JL}{\sin K}=\frac{JK}{\sin L}

Substitute the values, we get,

\frac{KL}{\sin 58^{\circ}}=\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}

Consider the last two ratios, we have,

\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}

{k}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 84^{\circ}}

On solving we get,

{k}=3.71

Also, now consider the first and last ratio, we get,

\frac{KL}{\sin 58^{\circ}}=\frac{2.3}{\sin 38^{\circ}}

{KL}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 58^{\circ}

{KL}=3.16

Thus, k ≈ 3.7 units and KL ≈ 3.2 units.

Option (1), (3) and (6) is correct.

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