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2 years ago

Use 1/2ab sin C formula pls

Mathematics

1 answer:

Harman [31]2 years ago

3 0

Step-by-step explanation:

$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$

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2 years ago

What are the greatest common factor of 20x76 and 8x92?

adelina 88 [10]

Gcf of 20 time 76 is 4

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2 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

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2 years ago

Which inequality is equivalent to I x-4 I <9

Leni [432]

(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.

<h3>What is inequality?</h3>

Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
Inequality is defined as a difference in size, amount, quality, social position, or another factor.
Inequality occurs when you have ten of something and someone else has none.
(mathematics) A statement stating that one quantity is less than (greater than) another.

So, Ix-4I <9:

|x-4|<9 ⇒ -9 < x-4 < 9
-5 < x < 13

Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.

Know more about inequality here:

brainly.com/question/11613554

#SPJ9

The complete question is given below:

Which inequality is equivalent to I x-4 I <9?

A –9 > x – 4 < 9

B –9 < x – 4 < 9

C x – 4 < –9 or x – 4 < 9

D x – 4 > –9 or x – 4 < 9

4 0

1 year ago