Answer:
The answer would be B) 120
Step-by-step explanation:
In the triangle with angle 2 and 3, it has a right angle in it, making angle 2 and 3 added together 90 degrees. But you have to figure out what angle 2 and 3 equal. Well the whole triangle is equilateral, making all three angles equal to 60 degrees. Angle 3 is half of 60 degrees because it is split by the dotted line. This makes angle 3 equal to 30 degrees. Now you can find the measure of angle 2. 30(angle 3) plus 90(right angle) equals 120 degrees. This makes angle 2 equal to 60 degrees. In this image, angle 2 is half of angle 1. So angle one is equal to 120 degrees. I hope this helps.
First find out how fast they run 1 mile by dividing the time they ram ( 30 minutes) by the number of miles they ran (4)
30 minutes / 4 miles = 7.5 minutes per mile
now we know how fast they run divide the new overall time (48 minutes) by the speed (7.5 minutes) to find the number of miles they will run
48 / 7.5 = 6.4 miles
Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
0.65, or in fraction form 65/100
<span>C = total calories burned
r = rate of burning calories = 420 calories burned/hour
t = time in hours
C = 420 * t
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