Answer:
31 cm
Step-by-step explanation:
The complete question is attached.
A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.
An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.
From the triangle, AB = BC = AC = 9.5 cm
Since the triangle is enlarged 3.25 times, hence:
new length of BC = 9.25 cm × 3.25 = 30.875
New length of BC = 31 cm to nearest cm
Answer:
21.4m
Step-by-step explanation:
Circumference : x diameter
is approximately 3.142
3.142 x 6.8 = 21.3656
Nearest tenth = 21.4m
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
1/4, 0.25
Step-by-step explanation:
The reciprocal of a number is 1 divided by the number. 1/4=0.25.
