Rebecca gained a level after all 3 turns, at the end of turn 2 she has 6 points
To have a remainder 3, we take away 3 from each number first.
<u>Take away 3:</u>
224 - 3 = 221
250 - 3 = 247
302 - 3 = 299
<u>Prime factorisation of each of the numbers:</u>
221 = <span>13 x 17
247 = 13 x 19
299 = 13 x 23
<u>Find HCF:</u>
HCF = 13
Answer: The largest number that can be divided is 13.</span>
The dive will take 9 seconds if peregrine falcon dove at its maximum speed for half a mile.
From the complete information, it was stated that the peregrine falcon can reach speed of up to 200 miles per hour.
Therefore, the number of seconds that the dove would take for half a mile will be calculated thus:
1 hour = 200 miles
3600 seconds = 200 miles
1 second will be: = (200/3600) = 0.056 miles
Therefore, the time will be:
200miles / 1 hour = 0.x
x = 0.0025 hours
Therefore, 0.0025 hours will be:
= 0.0025 × 3600
= 9 seconds.
The dive will take 9 seconds if peregrine falcon dove at its maximum speed for half a mile.
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Answer:
x^(1/2)
Step-by-step explanation:
For this, we need to understand exponent rules. This one is like this, "A power to a power, you multiply the exponents". This is simply, because this expression would be equivalent to 3 base terms:
(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))
And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following
(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)
Hence, this expression simplifies to x^(1/2).
Cheers.
Answer:
![tan A=\frac{8}{15}](https://tex.z-dn.net/?f=tan%20A%3D%5Cfrac%7B8%7D%7B15%7D)
Step-by-step explanation:
According to the trigonometric ratios the tangent of an angle is the ratio of perpendicular to base, i.e.
![tan\theta=\frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7BPerpendicular%7D%7BBase%7D)
In the provided triangle the perpendicular is 8 and base is 15.
Compute value of tan <em>A</em> as follows:
![tan\theta=\frac{Perpendicular}{Base}\\tanA=\frac{8}{15}\\](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cfrac%7BPerpendicular%7D%7BBase%7D%5C%5CtanA%3D%5Cfrac%7B8%7D%7B15%7D%5C%5C)
Thus, the value of tan <em>A</em> is
.