If you are adding two fractions that are both greater than 1/2, what must be true about the sum? Give three examples to support
1 answer:
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Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
where:
is the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- A = LN = 8
- H = KL = 15.2
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
Given:
- r = 15.2
- ∠KLM = 58.24313614°
First, you need to find where you can move the decimal point to so that there is only one non-zero digit to the left of it.
Move the decimal point, and that is the first part done.
Add "".
For the last part - the power, you need to find how many decimal places you moved the decimal point. In this case, we moved it to the right 2 places, so the power is .
If, for example, we had moved the decimal point three places to the left, the power would be .
Hi, there.
For this question, we can apply the Pythagorean theorem .
I'm sure you've seen this equation before, and they kind of tried to trip you up with this problem. Trust me, it's easier than it looks. Let's break it down.
Lengths a and b both have the value of 48, which means that the value s in is 48, because the length of the hypotenuse is the same as the length and height squared multiplied by 2.
Plug in the value for c:
Plug in the value for s:
Do the innermost exponents first:
The square root symbol and the power of 2 cancel each other out, so we are left with:
s = , so the hypotenuse is 4608 inches.