Ah yes, good ol’ Pythagorean’s theorem.
The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.
The legs are opposite of the acute angles
Formula: a^2 + b^2 = c^2
2:
Let’s plug in some values
(6)^2 + (3)^2 = c^2
C = 6.7
The side will be 6.7 units
3)
Let’s plug in some values
(13.3)^2 = (9.7)^2 + (b)^2
(13.3)^2 - (9.7)^2 = b^2
176.89 - 94.09 = b^2
b = 9.1
The side will be 9.1 units
Answer:
y = 1500 * 1.09^t
Step-by-step explanation:
It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner
y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.
Well, year 0 is the rate of change so we can say that a = 1500
Next, we divide any two consecutive year balances to find our rate of change:
1635/1500 = 1.09
Therefore, our equation looks like this: y = 1500 * 1.09^t
Answer:
yes
Step-by-step explanation:
118+107+63=287
360 is the total interior angle of a circle
so 360-287 = 73
Answer:
Yellow = 5 times and I think you meant blue since there is no purple so blue = 3 times
Step-by-step explanation:
There is ten in all and half of the spaces are yellow, or 50%. Out of ten times, you should land on it about half, or 5. For blue, there are 3 spaces, or 30%. Out of ten times, you should lamd on it about three.
Answers: Choice A, Choice C
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Reason:
The distributive rule can be used in reverse to help factor.
One way to do this is to say the following steps
60 - 36w
6*10 - 6*6w
6(10-6w)
Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.
Similarly, choice C works because...
60 - 36w
12*5 - 12*3w
12(5 - 3w)
It can be confirmed by working the steps backwards.
There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.
Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.
Choice D doesn't work either since 3(20+12w) = 60+36w
