Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
16 squared = 256
14 squared = 196
256 + 196 = 452.
Answer:
10/13
Step-by-step explanation:
if this is wrong, im sorry, but im pretty sure its correct
Answer:
Step-by-step explanation:
Given: Marisa bought four bottles
Price of each bottle is $0.95.
Solving with the factors as given to find the total cost paid by Marisa.
Total cost= 
∴ Total cost paid by Marisa is $3.8.
As given to write an equation with the same product as the total cost but different factors.
∴ Lets assume the number of bottles bought by Marisa be "5" and cost of each bottle be "x"
We already find the total cost she paid is $3.8.
Now, writing an equation with different factors, as total cost remain same.
Dividing both side by 5
we get x= $ 0.76
∴ The required equation is
Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
