Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable y: Yvonne's age.
Wilma is 5 times as old as yvonne, hence:
x = 5y.
In ten years, yvonne's age will be a third of wilma's age, hence:
Since x = 5y:
3y + 30 = 5y + 10
2y = 20.
y = 10.
Then:
x = 5y = 5 x 10 = 50.
Wilma is 50 years old and Yvonne is 10 years old.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
x = 4
Step-by-step explanation:
will make it short and simple
area of a triangle = 1/2 * b * h where h = x
12 = 1/2 * 6 * x
x = 4
Answer:
Step-by-step explanation:
PN = 
HN
Answer:
24.75 is 55% of 45
Step-by-step explanation:
Answer:
z = 8.544[cos(20.6) + isin(20.6)}
Step-by-step explanation:
Given
8 + 3i
Required
Rewrite in trigonometric form.
The trigonometric form of a complex equation is
z = r[cosθ + isinθ]
Let a = 3 and b = 8
Where
r is calculated by
r² = b² + a²
And
θ is calculated by
θ = arctan(a/b)
Substituting 3 for a and 8 for b
r² = a² + b² becomes
r² = 3² + 8²
r² = 9 + 64
r² = 73
√r² = √73
r = √73
r = 8.544
Calculating θ
θ = arctan(a/b) becomes
θ = arctan(3/8)
θ = arctan(0.375)
θ = 20.556°
θ = 20.6 --- Approximated
Hence, z = r[cosθ + isinθ] becomes
z = 8.544[cos(20.6) + isin(20.6)}
