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Digiron [165]
3 years ago
14

How do you solve an inequality using an absolute value? Example: |x+3|<2

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer:

x < -1

Step-by-step explanation:

hope that will help you

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Given sin A = 12/13 and that angle A is in Quadrant 1,
UkoKoshka [18]

We have been given that \text{sin}(A)=\frac{12}{13} and angle A is in quadrant 1. We are asked to find the exact value of \text{cot}(A) in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}

Now we will find adjacent side using Pythagoras theorem as:

\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2

\text{Adjacent}^2=13^2-12^2

\text{Adjacent}^2=169-144

\text{Adjacent}^2=25

Let us take positive square root on both sides:

\sqrt{\text{Adjacent}^2}=\sqrt{25}  

\text{Adjacent}=5

Therefore, adjacent side of angle A is 5 units.

\text{cot}(A)=\frac{5}{12}

Therefore, the exact value of cot A is \frac{5}{12}.

5 0
3 years ago
HELP!!!! Position and label the triangle on the coordinate plane
Darya [45]

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

4 0
2 years ago
Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.
Vilka [71]

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

8 0
2 years ago
Need help solving this puzzle
Dovator [93]

Answer:

what exactly is it asking the angle like 90 degrees obtuse acute?

Step-by-step explanation:

4 0
3 years ago
HEEELLLLLPPPPPPPPPPPP!!!!!!!
Mademuasel [1]

Answer:

2x³ + 11x² + 8x - 16

Step-by-step explanation:

Multiply:

(x + 4) (2x² +3x - 4)

2x³ + 3x² - 4x + 8x² + 12x - 16

Combine like terms:

2x³ + 11x² + 8x - 16

4 0
3 years ago
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