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3 years ago

What are the angle measures of triangle ABC?

Mathematics

1 answer:

barxatty [35]3 years ago

6 0

∠A = 90°, ∠B = 60° and ∠C = 30°

Step-by-step explanation:

Step 1: Find whether the triangle is a right angled triangle by using Pythagoras theorem. Given sides are a = 24 (opposite to ∠A), b = 12√3 (opposite to ∠B) and c = 12 (opposite to ∠C).

⇒ 12² + (12√3)² = 144 + 432 = 576

⇒ √576 = 24 = a. This shows that the triangle is a right angled triangle.

So ∠A = 90°

Step 2: Use trigonometric equations to determine the other angles.

⇒ cos B = AB/BC = 12/24 = 1/2

⇒ ∠B = 60°

Step 3: The sum of the angles in a triangle is 180°. To find ∠C,

⇒ ∠C = 180° - (90° + 60°) = 180° - 150°

⇒ ∠C = 30°

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Elanso [62]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve ~

$\qquad \sf \dashrightarrow \:(8 + 5i)(3 + 2i) - (4 + i)(4 - i)$

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$\qquad \sf \dashrightarrow \:[24+ 16i + 15i+ 10i {}^{2} ] -[16 - 4 i+ 4i - i {}^{2} ]$

$\qquad \sf \dashrightarrow \:[24+ 31i+ 10 {}{( - 1)} ] -[16 - ( - 1){}^{} ]$

$\qquad \sf \dashrightarrow \:[24+ 31i - 10 {}{} ] -[16 + 1{}^{} ]$

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I hope you understood the procedure ~

5 0

2 years ago

0.5 - Y - 5<br> -0.5x = y - 5<br> Х

Artemon [7]

Answer:

1 - 4y

Step-by-step explanation:

0.5 - Y - 5 -0.5x = y - 5

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6 0

3 years ago

Please help me with all thank you

kvasek [131]

1)180= 18 tens(18*10=180)
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3 years ago

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Delicious77 [7]

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Integrate both sides and solve for $A$ :

$\displaystyle \int \frac{dA}A = -6 \int dt$

$\ln|A| = -6t + C$

$e^{\ln|A|} + e^{-6t+C}$

$\implies A(t) = Ce^{-6t}$

Solve for $C$ using the initial value.

$A(0) = 6 \implies 6 = Ce^0 \implies C=6$

Then the particular solution is

$\boxed{A(t) = 6e^{-6t}}$

8 0

2 years ago

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castortr0y [4]

First, find the scale factor.

8.4 / 7 = 1.2

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Since both solids are different sizes, the solids aren't congruent.

The size ratio for all the sides are:

8.4:7

9:7.5

7.2:6

Since the scale factor isn't 1:1 this also proves that the solids are NOT congruent.

Since both solids are the same kind of shape and have an identical scale factor, the solids are similar.

Best of Luck!

5 0

3 years ago