Answer:
To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.
So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).
To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).
This can be rewritten as:
sqrt(6•5)/sqrt(5•5)
= sqrt30/sqrt25
Now, sqrt25 = 5, so that problem is solved as such:
sqrt30/5
I'm thinking sqrt30 can't be simplified any further. If it can, do so.
Hope this helps!
Step-by-step explanation:
X = 4
2x - 3y = -19
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.
Answer:
In other words, A, D.
Step-by-step explanation:
Step 1a. Convert the portion of width and length that is expressed in feet to inches.
Width: 13 ft = 13 × ___ = ___in
Length: 18 ft = 18 × ____ = _____ in
Answer:
1215 bricks will be required.
Step-by-step explanation:
Length of a brick L= 8 in. and width of the brick w = 3.75 in.
Area of one brick = 8×3.75 = 30 in²
Now length of a patio = 13 feet 6 in
since 1 feet = 12 inch.
So length of the patio = (13×12 + 6)= 162 in
Similarly width of the patio = 18 feet 9 inch = (18×12 + 9) = 216 + 9 = 225 inch
Area of the patio = 162×225 = 36450 in²
Now total bricks required to cover patio = Area of patio ÷ area of one brick
= 36450 ÷ 30 = 1215 bricks
Therefore 1215 bricks will be required to cover a patio.
b.sin t
c.tan t
d.sin^2 t
e.csc^2 t