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3 years ago

Circle O is shown below. The diagram is not drawn to scale. What is the measure of angle BAC?

Mathematics

2 answers:

mafiozo [28]3 years ago

5 0

56.5, since its (180 - 67)/2

allsm [11]3 years ago

4 0

Answer:

angle BAC = 56.5 degree

Step-by-step explanation:

In the given circle O, AO and BO are the radius of the circle

AO and BO are same

So the angle opposite of AO and BO are also same

Angle BAC = angle ABO

WE know the sum of angles in a triangle is 180 degree

Angle BAC + ABO + O = 180 degree

Angle O = 67 degree

angle ABO = angle BAC

BAC + BAC + 67 = 180

2BAC + 67= 180

Subtract 67 on both sides

2BAC = 113

Divide by 2 on both sides

BAC = 56.5

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3 years ago

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Using the numbers -4, 10, 8, 2, -3, -5, create two expressions that<br> equal 6.

blondinia [14]

Expressions:

10 + (-4)
-4 + 8 + 2

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3 years ago

An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the

lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

4000 if the device fails during the first year. The amount of the

benefit decreases by 1000 each successive year until it reaches 0.

If the device has not failed by the beginning of any given year, the

probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x 4000 3000 2000 1000 0

P(x) 0.4 0.6×0.4 0.6² × 0.4 0.6³ × 0.4 1 - 0.8704

(0.4) (0.24) (0.144) (0.0864) (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

= 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

= 1600 + 720 + 288 + 86.4 + 0

= 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

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3 years ago

Let f(x) = 3x + x², find f(4).

xenn [34]

F(4) is equivalent to 28 because when you plug in 4 for the x, you get 28.

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3 years ago

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Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?...............

Vadim26 [7]

Answer:

a) El procedimiento queda resumido en lo que sigue:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) La expresión para calcular el volumen del prisma ( $V$ ), en unidades cúbicas, es:

$V = w\cdot h \cdot l$

Donde:

$w$ - Ancho de la base, en unidades.

$h$ - Altura de la base, en unidades.

$l$ - Longitud del prisma, en unidades.

Step-by-step explanation:

a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) En consecuencia, se deriva la expresión para el volumen del prisma:

$V = A\cdot l$ (1)

Donde:

$A$ - Área de la base del prisma, en unidades cuadradas.

$l$ - Longitud del prisma, en unidades.

$V = w\cdot h \cdot l$ (2)

Donde:

$w$ - Ancho de la base, en unidades.

$h$ - Altura de la base, en unidades.

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3 years ago