Answer:
Step-by-step explanation:
One fourth as a fraction means 1 part out of something when it is divided into 4 equal parts. All 4 parts when put together will make the whole thing back again. So 4 is our answer.
4 × 4 = 16
simplify 3^5 x 3^4
Answer:
The total cost of the motorcycle is $4187 .
Step-by-step explanation:
As given
Glenn Andrews recently bought a motorcycle for $3,950 if he had to pay 6% sales tax on the bike .
6% is written in the decimal form.
= 0.06
Sales tax price = 0.06 × 3950
= $237
Total cost of the motorcycle = Motorcycle cost + Sales tax price
= $ 3950 + $237
= $ 4187
Therefore the total cost of the motorcycle is $4187 .
Let length be 12 ft (l = 12 ft) and width be 6 ft (w = 6ft).
The side pocket will be on the half of its length (l). To calculate the distance, we will use the distance d as a hypotenuse of the right triangle with sides w and l/2.
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of two other sides:
d² = w² + (l/2)²
We have:
d = ?
w = 6 ft
l = 12 ft
d² = 6² + (12/2)²
d² = 6² + 6²
d²= 2 * 6²
d² = 2 * 36
d² = 72
d = √72
d = 8.48 ft
Since 1 ft is 12 in, then 8.48 ft is 101.76 in:
8.48 * 12 in = 101.76 in
Hope this helps!
The solution wouldbe like this for this specific problem:
sin(67.5) = sin(135/2)
sin(x/2) = +/- √((1 - cos(x))/√2
sin(67.5) = √(1 - cos(135))/√2 = √(1 + √2/2)/√2 = √(√2/4 + 1/2) = 0.9239
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