The exact area of triangle ABC is 93.51 cm².
The given parameters;
- <em>Height of the triangle, h = 18 cm</em>
The base of the triangle is calculated by using trigonometry ratio as follows;
where;
- <em>b </em><em>is the </em><em>base </em><em>of the </em><em>triangle ABC</em>
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The area of the triangle ABC with the calculated base and given height is calculated as follows;
Thus, the exact area of triangle ABC is 93.51 cm².
Learn more about area of a triangle here: brainly.com/question/23945265
Triangle XYZ is equilateral, so the central angle of the sector is 120°, or 2π/3 radians. The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
Your sector's area is
.. A = (1/2)*2^2*(2π/3) = 4π/3 . . . . square units
Answer:
x equals negative two
Step-by-step explanation:
that's how you would say it
Answer:
8)61.5 9)42.1
Step-by-step explanation:
8)61.5
area of square 10×10=100
circle=pie r^2
3.5^2×pie
=38.5
100-38.5=61.5
9)14×14=196
14/2=7
7=radius
pie×7^2
=153.9/2(because circle is half)
=76.95
76.95×2
=153.9
=196-153.9
42.1
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10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
