Answer:
first blank is 90/100
second blank is 145/100
Step-by-step explanation:
A good place to start is to set 
to y. That would mean we are looking for 
to be an integer. Clearly, 
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since 
is a radical, it only outputs values from ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20)
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20)
.
With that, we don't really have to consider y anymore, since we know the interval that is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
The answer is b, or 84ft squared. To find the area of a rectangle, you multiple the length by the width. So you multiply 10.5 by 8, which equals 84.
Hello!
To find our answer, we just use a scientific calculator (you cannot calculate it by hand).
tan42≈0.9
Therefore, our answer is about 0.9.
I hope this helps!
3-1/2x=-71
when you solve it, the answer is 37
