The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
<h3>How to rewrite the statement as an expression?</h3>
The mathematical statement is given as
Jaun's age, x, is 4 times his age 15 years ago
From the statement, we have:
x represent Juan's current age
This means that his age 15 years ago is
15 years ago = x - 15
4 times his age 15 years ago is
4 * 15 years ago = 4 * (x - 15)
The above equation is equivalent to his current age
So, we have
x = 4 * (x - 15)
Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
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Answer:
i = 75.7°
h = 48.2°
Step-by-step explanation:
==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b
Where,
a = 7.2cm
sin(A) = i
b = 6.5cm
sin(B) = sin(61) = 0.8746
Thus:
sin(A)/7.2 = 0.8746/6.5
Multiply both sides by 7.2
sin(A) = (0.8746*7.2)/6.5
sin(A) = 0.969 (3 s.f)
A = i° = sin^-1(0.969) = 75.7 (3 s.f)
==>To find h, use the Cosine rule for angles:
Cos(C) = (a²+b²-c²)/2ab
cos(C) = h°, a = 4, b = 4.5, c = 3.5
a² = 16
b² = 20.25
c² = 12.25
cos(C) = (16+20.25-12.25)/(2*4*4.5)
cos(C) = 24/36
cos(C) = 0.667 (3 s.f)
C = h° = cos^-1(0.667) = 48.2° (3 s.f)
Answer:
The perimeter of the triangle is 
Step-by-step explanation:
Let
we know that
The perimeter of triangle is equal to
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
substitute in the formula
step 2
Find the distance BC
substitute in the formula
step 3
Find the distance AC
substitute in the formula
step 4
Find the perimeter
substitute the values
