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labwork [276]
3 years ago
6

alex has a 48 mile trail first half of the time he was biking twice as fast as the second half of the time if he spent 4 hours o

n the road how fast was he biking at first
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

x*2 = 16 mph

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Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

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b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

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2 years ago
100 EASY POINTS!!! Please include an explanation :)
Nezavi [6.7K]

Answer:

Choice C

Step-by-step explanation:

f: initial value of 200 decreasing at a rate of 4%

g: initial value of 40 increasing at a rate of 8%

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g is increasing faster than f is decreasing

Choice C

6 0
3 years ago
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The size of a large milkshake is 1.4 times the size of a medium milkshake.write 1.4 as a percent
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Step-by-step explanation:

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Thank you very much ! Don't forget to show your work please.
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10.  angle APB = (1/2) arc AB
       108 = (1/2) arc AB
       multiply both sides by 2 to clear the fraction
       216 = arc AB

11.  Area of regular Octagon s = 5 in
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