Answer:
Length of straw = 11 inch (Approx.)
Step-by-step explanation:
Given:
Length of cuboid = 9 inch
Width of cuboid = 5 inch
Height of cuboid = 4 inch
Find;
Length of straw
Computation:
Length of straw = Diagonal of cuboid
Diagonal of cuboid = √l² + b² + h²
Diagonal of cuboid = √9² + 5² + 4²
Diagonal of cuboid = √81 + 25 + 16
Diagonal of cuboid = √122
Diagonal of cuboid = 11.04
Length of straw = 11 inch (Approx.)
You need to foil it out. That's how you get the answer.
(x+4)^20
=
(x+4) x (x+4)^19
=
(x+4)^2 x (x+4)^18
etc.
The given problem is "In an isosceles triangle, the uneven side is 8 cm shorter than each of the equal sides. Calculate the sides of the triangle knowing that the perimeter is 31 cm.
To find,
The sides of the triangle.
Solution,
Let each of equal sides are x.
The unequal sides is x-8.
Perimeter is the sum of all the sides. So,
31 = x+x+x-8
31+8=3x
3x = 39
x = 13
So, the equal sides are 13 cm.
Unequal side = x-8
= 13-8
= 5 cm
Hence, two of the equal sides are 13 cm and unequal side is 5 cm.
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Answer:
The large cube will contain 125 total small cubes.
Step-by-step explanation:
In order to find this, we multiply the number of rows by the number of cubes in a row.
5 * 5 = 25
Now we take that number and we multiply it by the number of layers total.
25 * 5 = 125