Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
I agree. So like what you already said, there's 5 out of 12 chance that you will get lemon. And 7 out of 12 chances, you will get lime.
Ratio Format:
5:12 chances for lemon
7:12 chances for lime
Answer:
12
Step-by-step explanation:
Answer:
60years
Step-by-step explanation:
let Ben age = x
ishaan age = y
Ben is 4 times old as ishaan:
x=4y ..........equation (1)
6 years ago
Ben age = x-6
Ishaan age = y-6
x-6=6(y-6)
x-6=6y-36
x=6y-36+6
x=6y-30..........equation (2)
equating equation(1) and (2)
4y=6y-30
4y-6y=-30
-2y=-30
y=-30/-2=15
substituting the value of y into equation (1)
x=4y
=4*15
=60
Ben age now =60years
