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ira [324]
2 years ago
7

Find the missing side.​

Mathematics
2 answers:
Gala2k [10]2 years ago
5 0

Answer:

X is approximately 7.8.

Step-by-step explanation:

You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.

For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.

sin\ (angle)=\frac{opposite}{hypotenouse}

sin (26)=\frac{x}{18}

0.438=\frac{x}{18}

7.890... = x

Using Pythagorean theorm, you can figure out the other side if need be :)

For reference:

sin (angle)=\frac{opposite}{hypotenuse}

cos(angle)=\frac{adjacent}{hypotenuse}

tan(angle)=\frac{opposite}{adjacent}

pshichka [43]2 years ago
3 0

Answer:

I htink x ≈ 8

Step-by-step explanation:

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. A factory manufactures widgets using three machines, A, B, and C. Of the total output, machine A is responsible for 30%, machi
Sedaia [141]

Answer:

0.545 = 54.5% probability that it came from machine A

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Defective.

Event B: Coming from machine A.

Machine A is responsible for 30%

This means that P(B) = 0.3

10% of the output from machine A is defective

This means that P(B|A) = 0.1

Probability of being defective:

Machine A is responsible for 30%. Of those, 10% are defective.

Machine B is responsible for 20%. Of those, 5% are defective.

Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then

P(A) = 0.3*0.1 + 0.2*0.05 + 0.5*0.03 = 0.055

Finally:

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.3*0.1}{0.055} = 0.545

0.545 = 54.5% probability that it came from machine A

3 0
3 years ago
Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. W
morpeh [17]

Answer:

The three buildings can look like following:

1. The building can look like a cube, with each side and height equal to 2.62 cm.

2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Step-by-step explanation:

The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:

1. CUBIC SHAPE:

The building can look like a cube with the length of each side and height given as:

Volume of Cube = 18 cm³ = L³

L = ∛18 cm³ = 2.62 cm

<u>Thus, the building can look like a cube, with each side and height equal to 2.62 cm.</u>

<u></u>

2. CUBOID SHAPE:

The building can also look like cuboid with the following dimensions.

Length = 3 cm

Breadth = 1 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³

<u>Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.</u>

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3. PYRAMID SHAPE:

The building can also look like pyramid with the following dimensions.

Length = 3 cm

Breadth = 3 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Pyramid = (Length * Breadth * Height)/3

Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³

<u>Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.</u>

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Answer:

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Step-by-step explanation:

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