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Vlad1618 [11]
2 years ago
6

How many triangles???????

Mathematics
2 answers:
MAVERICK [17]2 years ago
4 0

Answer:

8

Step-by-step explanation:

the outer shape

then the tree triangles in the first part of the big triangle

then the first layer of the triangle itself

then 3 more triangle starting from top to bottom

Gwar [14]2 years ago
4 0

Answer:

11!

Step-by-step explanation:

5 at the peak; 3 when you go down with the peak and midsection; 3 from the top to bottom.

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A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
What is the domain of the relation shown<br> on the graph?
rosijanka [135]

Answer:

where is the graph?........

7 0
2 years ago
at noon joice drove to the lake at 30 mi. per hour, but she made a long walk back at 4 mi. per hour. how long did she walk ifshe
Kryger [21]
Distance = 30 mph * time
distance = 4 mph * time

distance = 30 mph * t
distance = 4 mph * (17-t)

Since distance is equal then
30 mph * t = 4 mph * (17-t)
 
30t = -4t + 68

34t = 68

t = 2 hours

We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.

Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.


3 0
3 years ago
H E L P!!!!!!!!!!!!!!!!!!!
LenaWriter [7]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the ba
gizmo_the_mogwai [7]

Answer:

1440π squared mm.


Step-by-step explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

6 0
3 years ago
Read 2 more answers
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