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trapecia [35]
3 years ago
11

3 An open cone has a vertical angle measuring 40°

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

13.41 cm

Step-by-step explanation:

The radius, height, and HALF of vertical angle makes a triangle.

Where

Radius will be the base of the triangle

Height will be the "height" of the triangle

Top angle will be HALF of vertical angle (40/2 = 20)

From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>

Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

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Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx
Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0
3 years ago
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or C
OlgaM077 [116]

Answer:

138, 460 m²

Step-by-step explanation:

How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.

8 0
2 years ago
2. Déla compró un vestido en la venta del 20% ella pago $57.60 por su vestido
ikadub [295]

Answer:

Step-by-step explanation:

El precio original del vestido es,

72 dolares

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3 years ago
Eurostar is a high-speed railway service connecting
Setler79 [48]

Answer:

649 trains

Step-by-step explanation:

If there are 30 seats per carriage, and there is 18 carriages per train.

You multiple 30 and 18 to get how many seats there are in a train.

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To figure out how many trains would be needed to seat 350,000 passenger, you have to divide 350,000 with 540 to get how many trains would be needed.

350,000/540 is 648.1

Since the answer is 648.1 and you can't chop a train into 10 pieces, you would need 649 trains to seat 350, 000 passengers.

8 0
2 years ago
Which of the following is a valid probability distribution? Probability distribution A is shown. The probabilities of 1, 2, 3, 4
arsen [322]

Considering the given probability distributions, distribution D is valid.

<h3>When a probability distribution is valid?</h3>

A probability distribution is valid if:

  • There are no negative probabilities.
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In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.

More can be learned about probability distributions at brainly.com/question/23670007

#SPJ1

7 0
2 years ago
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