Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
Gcf of 6,14,18: 2
And you mean lcm?
Answer:
1.16667
Step-by-step explanation:
Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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Answer:
By doing it
Step-by-step explanation:
LOL
