A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,
MN = r
Now, the length of arc MN can be written as,
2 × π × r × (60° /360°) = π
r = 360 / (60 × 2)
r = 3 cms
Further, the radius of the circle can be written as,
LO = ON = OM = MN = Radius = 3 cms
Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,
LM² + MN² = LN²
LM² + MN² = (LO + ON)²
LM² + r² = (r+r)²
LM² + r² = 4r²
LM² = 3r²
LM² = 3(3²)
LM = √27 cms
LM = 3√3 cms
Hence, the length of LM is 3√3 cms.
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Complete question :
The Venn diagram relating to the question can be found in the picture attached below :
Answer:
A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369
Step-by-step explanation:
Let :
Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W
a) How many students ride in a tricycle, motorcycle and car going to their school
Intersection of the 3 modes;
(C n M n T) = 15 ; it is the number which sits in between all the three circles.
B.) How many students ride in both a motorcycle and a tricycle?
(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle
C.) How many students ride in both a motorcycle and a car?
(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car
D) How many students ride in both a car and tricycle?
(C n T) = 19 ; number in the middle of both circles representing Car and tricycle
e.)How many students go to school
in a car only = 55
in a motorcycle only = 67
Tricycle only = 76
Walking = 100
F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?
(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369
Answer:
27.23
Step-by-step explanation:
60.50 divided by .45
Answer:
I probably need like a picture or example
A is the correct answer, NOT c. You don't list elements of the domain each time they occur, you enter each element of the domain only once