Answer:
By the Pythagorean theorem, the diagonal length (d) of the square is
d² = 7² + 7²
d = √98 ≈ 9.8995
Since the diameter of the circle (11 cm) is greater than the diagonal length of the square (9.9 cm), you know the square will fit into the circle without touching.
Step-by-step explanation:
Answer:
The slope for the parallel line to the equation -10x-5y=25 is -2
Step-by-step explanation:
First we need to convert the equation to slope-intercept form to determine the slope.
-10x-5y=25
+10x _10x
-5y=25+10x
/-5 /-5
y= -5 -2x
Remember, -5 is the y-intercept and -2 is the slope for this equation. A parallel line is a line that never intersects with the first line. If the two equations have different slopes, they will eventually intersect. Because of this, our parallel line needs to have the same slope as the initial equation: -10x-5y=25
Since we've determined that the slope for that equation is -2, we can infer that this will be the slope for our parallel line.
Answer:
V = 36 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where 4 is the radius
V = 4/3 pi(3)^3
V = 36 pi cm^3
So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.
So the answer comes out to be 30 marbles in the bag
Well the answer is 12-14=%58=x
