Answer:
7 2/5 miles
Step-by-step explanation:
6/10 + 6 8/10 = 6 14/10 = 7 4/10 = 7 2/5 miles
Answer:
d. 11
> Step-by-step explanation:
Answer:
180
Step-by-step explanation:
If 35% did not wear happy faces, then 100% -35% = 65% did wear happy faces.
Then we have ...
... 117 = 65% × (all children)
... 117/0.65 = all children = 180 . . . . . . divide by 65% = 65/100 = 0.65
There were 180 children in all.
In order to combine radicals when you're adding or subtracting, 2 things have to be in place. First, the index has to be the same. We have all the indices as 4's (fourth roots), so we're good there. Second, the radicand also has to be the same. Right now, none of them are, so we need to try to simplify and see if they are the same, just well-hidden. The first one, can be simplified down to . We can pull out one of those 4 twos, and when we do that we have which simplifies even further to . The second term, cannot be simplified at all...it is what it is. Next term, can be rewritten as . We can pull out one of those 4 threes and simplify to which simplifies even further to . Lastly, we have . We can rewrite this as . Pulling out 4 twos leaves us with which simplifies to . So here's what we have in all: . We will combine the like terms to get a final answer of . Third choice down is the one you want.
Answer:
the perimeter is 10.99 units.
Step-by-step explanation:
We have a triangle with points in:
X // Y
N 2 // 0
P -1 // -2
M 4 // 0
We can solve for the side of the triangle by subtracting the points to calculate the distance between them, AKA the side of the triangle.
M - N = NM = 4 - 2 = 2 units of X
M - N = NM = 0 - 0 = 0 units of Y
This has a length of 2 units of X and 0 units of Y thus, we already have a line of size 2.
Next side:
N - P = 2 -(-1) = 3 units of x
N - P = 0 - (-2) = 2 units of Y
We have a length of 3 units of X and 2 of Y we use Pythagoras to get the length of NP:
Now, we do the same with MP:
M - P = 4 - (-1) = 5 units of X
M - P = 0 - (-2) = 2 units of Y
we solve for MP
We now add up: