It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM
Step-by-step explanation:
We have to calculate the speed first to find the time it will take the family to complete the trip.
Given
Distance = d = 25 miles
Time = t = 1/2 hours = 0.5 hours
Now,
Distance remaining = 225 miles
Speed = 50 miles per hour
As we see that the time required to complete the journey is 4.5 hours.
It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM
Keywords: Speed, Distance
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Answer: 
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Explanation:
Method 1
We can use the pythagorean theorem to find x.
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Method 2
Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2
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Method 3
Similar to the previous method, but we'll use tangent this time.
Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)
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Method 4
This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.
Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.
The short leg is always opposite the smallest angle (30 degrees).
Answer:
$(3b+2)
Step-by-step explanation:
The cost of making b bracelets = 4+5b
The cost of making b necklaces = 8b+6.
To determine how much more it cost to make b necklaces than b bracelets, we simply subtract.
Extra Cost = Cost of b Necklaces-Cost of b Bracelets
=(8b+6)-(4+5b)
open the brackets
=8b+6-4-5b
Collect like terms
=8b-5b+6-4
=3b+2
It costs $(3b+2) more to make b necklaces than b bracelets.
Answer: d = -9/8
Steps: 5d + ½ = d - 4
Subtract ½ from both sides: 5d + ½ - ½ = d - 4 - ½
Simplify: 5d = d - 9/2
Subtract d from both sides: 5d - d = d - 9/2 - d
Simplify: 4d = -9/2 ÷ 4
Simplify: d = -9/8
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