At the gym, Tika spends twice as much time doing aerobics than weight training. She stretches for one fifth of the time she spen
1 answer:
Answer:
Her total workout is .
Step-by-step explanation:
Consider the provided information.
Let w be the amount of time Tika spends on weight training.
Tika spends twice as much time doing aerobics than weight training.
It means she spends time doing aerobics.
She stretches for one-fifth of the time she spends on weight training.
It means she spends time for stretches.
The total workout time is:
Hence, her total workout is .
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Take the .5 of the 17.5 and convert it to a fractin.
we know .5 is equal to 50% or 1/2
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in order to convert it into an improper fraction you need to multiply the whole number by the denominator and then add the numerator all while keeping the denominator constant.
so
we know .5 is equal to 50% or 1/2
now we have a mixed number
in order to convert it into an improper fraction you need to multiply the whole number by the denominator and then add the numerator all while keeping the denominator constant.
so
You're going to need to use Pythagoras' theorem to work this one out!
As you know, the perimeter of a triangle is just all the lengths of the sides added up.
We'll start with side AC first. We can see that A is (-8, -4) and C is (-6, -2). That means to get from A to C, we need to go 2 units to the right, and 2 units up. Which means we have our two sides to work out the length from Pythagoras' theorem. 2² + 2² = c², c = √8.
Now we'll move onto side AB. We already know A is (-8, -4) from above, and B is (-7, -8). That means to get from A to B, we have to go 4 units down, and 1 unit to the right. So once again: 4² + 1² = c², c = √17.
Lastly, we'll work out side BC. We know that B is (-7, -8) and C is (-6, -2). That means to get to C from B, we have to go 1 unit to the right and 6 units up. So, again: 1² + 6² = c², c = √37.
Now that we have all of our lengths, we simply just add them up!
√8 + √17 + √37 ≈ 13.03 units.
(I've also attached something to help you visualise how I worked it out.)
