A. The square of an irrational number \sqrt(11)=\sqrt(11)*\sqrt(11)=\sqrt(11^2)=11, which is a rational number. However, in B, C, and D, the two pair of rational numbers cannot multiply to become a rational number.
First, look at the ratio. And out of 2&3&4, 2 is the smallest. So, change the 2 to 15, 3 to X, 4 to Y. Like this down below
15:X:Y
Now, if 2=15, 1=15÷2, which is 7.5
If one is 7.5, the X=3×7.5=22.5
Y=4×7.5=23
Add them all up, 15+22.5+23=60.5
The perimeter is 60.5
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 32² = 48²
x² + 1024 = 2304 ( subtract 1024 from both sides )
x² = 1280 ( take the square root of both sides )
x =
=
= ×
= 16 → C
Space in the box = volume
volume = length x width x height
box 1 volume = 15 x 20 x 10 = 3000
box 2 volume = 15 x 20 x 14 = 4200
how much space is left = box 2 - box 1 = 1200 inches
Answer:
y = sin(x+90)
Step-by-step explanation:
The shape of the graph shown is a y = cos x<em> </em>graph
Since that is not an option, we know that it must be translated somewhat
Sin x and cos x graphs are the exact same in shape, but differ by 90°
Y = sin (x+90) is the same as a Y = cos x graph, so Y = sin(x+90) is our answer