Answer:
=
Step-by-step explanation:
Answer:
the answer would be 6in. by 9in.
Step-by-step explanation:
you have to divide 84 by 14 and 126 by 14
Cross-Multiply:
Divide by 3 on both sides:
Divide by x on both sides:
You did ask for the EXACT value, which no one has posted yet. The exact value is √(2 + √3)/2. To three decimal places, that is .966.
As for how I got that, I started with a 30-60-90 triangle and extended the longer side by the length of the hypotenuse to get a 15-75-90 triangle, then used Pythagoragus. For some reason, though, most students have an easier time using a half-angle formula, so feel free to do it that way.
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OK, sorry, I see Awesome Sauce also gives an exact value. It is also correct, just looks a little different.
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From your comment in Additional Details, it appears you want to use the angle difference relation: cos(π/12) = cos(π/4 - π/6). That works also, but you need to get the formula right, which is:
cos(a - b) = cos a * cos b + sin a * sin b
For cos (45 - 30), this gives cos 45 * cos 30 + sin 45 * sin 30 = √2/2 * √3/2 + √2/2 * 1/2 = √2/4(√3 + 1). This is yet another expression for the same exact value.
2800
The math behind it:
800(Mph) x 3(Hours) = 2400(Miles traveled in 3hrs)
800(Mph) x 1/2(or .50hrs) = 400(Miles traveled in 1/2 an hr)
2400(Miles traveled in 3hrs) + 400(Miles traveled in 1/2 an hr) = 2800(Miles traveled in 3 and 1/2hrs)
Hope this helps! :) Have a nice day!
