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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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Una empresa embotelladora de gaseosas lanzará su propia bebida "Delicia" de un litro a un costo variable de S/ 2.50 por unidad,

KIM [24]

Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.

<h3>¿Cómo determinar las utilidades por la venta de bebidas gaseosas?</h3>

Las utilidades (U') se obtienen de sustraer los costes de producción (Cp) a las utilidades <em>netas</em> (U). Los costes de producción (Cp) son la suma de costes <em>variables</em> (C') y costes <em>fijos </em>(C). y la utilidades <em>netas</em> proceden de la venta de botellas. En consecuencia, tenemos la siguiente expresión:

U' = U - Cp

U' = U - C' - C

A continuación, desarrollamos y resolvemos la ecuación resultante:

30000 = 4.50 · x - 2.50 · x - 18500

1.50 · x = 11500

x = 7667

Por la ecuación de utilidad, necesitamos una producción de 7,667 botellas de un litro de capacidad para obtener un total de utilidades de S/ 30.000.

Para saber sobre utilidades: brainly.com/question/16933668

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6 0

2 years ago

I need help please please I appreciate it! ):

telo118 [61]

Answer:

!. Scale factor = 5

2. Scale factor = $\frac{1}{5}$

Step-by-step explanation:

scale = $\frac{length in drawing}{actual length}$

1. To increase the numbers, let the scale factor be $\frac{5}{1}$ = 5. So that;

0.05 x 5 = 0.25

$\frac{1}{2}$ x 5 = 0.5 x 5 = 2.50

7 x 5 = 35.00

13 x 5 = 65.00

25 x 5 = 125.00

102 x 5 = 510.00

2. To decrease the numbers, let the scale factor be $\frac{1}{5}$ . So that;

0.05 x $\frac{1}{5}$ = 0.01

$\frac{1}{2}$ x $\frac{1}{5}$ = 0.5 x $\frac{1}{5}$ = 0.10

7 x $\frac{1}{5}$ = 1.40

13 x $\frac{1}{5}$ = 2.60

25 x $\frac{1}{5}$ = 5.00

102 x $\frac{1}{5}$ = 20.40

6 0

3 years ago

Type the correct answer in the box. Write your answer to one decimal place. A boy who is 1. 8 meters tall stands 1 meter away fr

alisha [4.7K]

1.5 meters tall the lampost

5 0

2 years ago

the product of two whole numbers is 36 . what is the greatest possible sum that the number can have?

ch4aika [34]

Whole numbers are positive numbers without decimals. First, list all the whole number factors of 36:

1 and 36

2 and 18

3 and 12

4 and 9

6 and 6

Next, see which one of those pairs has the highest sum:

1+36=37

2+18=20

3+12=15

4+9=13

6+6=12

The greatest possible sum the numbers can have is 37.

Hope this helps!!

3 0

3 years ago

Which statement must be true

monitta

Answer:

(C)

Step-by-step explanation:

AD and BC are parallel to each other. They are the same distance but they never touch.

Your best answer would be C.

Brainilest appreciated.

4 0

4 years ago