1. 7 : 07
2. 9 : 45
3. 6
4. 2 : 25
5. 8
6. 17
<h3>
Answer: B) 2</h3>
=========================================================
Explanation:
Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.
Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.
You should have:
- 5 gray rectangles, and no squares (of any color) on the left side
- 10 black squares, no long rectangles (of any color), on the right side
From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.
This means the solution is 2.
-------------------------------------
If you're curious about the algebraic way to solve, then you could do this:
3x-4 = -2x+6
3x+2x = 6+4
5x = 10
x = 10/5
x = 2
This method doesn't require us to use the visual model.
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule

We need to rearrange the rule to solve for x, our missing angle

solving for our unknown angle:


Therefore angle YXZ is 70.52 degrees
Answer:
its a combination problem, so in your calculator put 9 nCr 4 and you'll get 126. i hope this helps. :)
Step-by-step explanation:
Answer:
The expression
represents the radius of the soap dispenser.
The expression
represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
, where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of
, then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of
that implies that the function of radius must have square as the exponent of
, therefore, the expression
will represent the radius of the soap dispenser and the expression
represents the height of the soap dispenser.