Answer:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Step-by-step explanation:
Answer:.......
Probability = 
Step-by-step explanation:
Let g represent the number of green beads , and o represent the number of orange beads.
due to the fact that Ann is selecting the bead without replacing i randomly
the probability (Pr) of Ann selecting a green bead and then an orange one =
Answer:
59°
Step-by-step explanation:
From the diagram, shown in the attachment line x and y are parallel lines.
Angle 7 and angle 6 are angles on a straight line.
The two angles will add up to 180 degrees.

But angle 7 measures 121°.
This implies that:

Solve for angle 6 to get;
\

Let the three apartments be A, B & C
The rent of A is $x
The rent of B is $y
The rent of C is $z
So x + y + z = 1600 .......(1)
Now
Maintenance of A is 20% of x = 0.20x
Maintenance of B is 20% of y = 0.20y
Maintenance of C is 25% of z = 0.25z
0.20x + 0.20y + 0.25z = 345
Multiplying by 100 we get
20x + 20y + 25 z = 34500
Dividing by 5 we get
4x + 4y + 5z = 6900 .......(2)
Monthly fee of A is 10% of x = 0.10x
Monthly fee of B is 20% of y = 0.20 y
Monthly Fee of C is 10% of z = 0.10z
Now
0.10x + 0.20y + 0.10 z= 1820 - 1600
0.10x + 0.20y + 0.10z = 220
Multiplying by 100 we get
10x + 20y + 10z = 22000
Dividing by 10
x + 2y + z = 2200 ....(3)
Making a Matrix of equation (1), (2) & (3)
![\left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C4%264%265%5C%5C1%262%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1600%5C%5C6900%5C%5C2200%5Cend%7Barray%7D%5Cright%5D%20%20%20)
is the required matrix
Answer:
100 ft high
Step-by-step explanation:
We know that Erin, the kite, and her friend create a right triangle since the friend is standing directly under the kite and in front of Erin.
Thus, we can use the Pythagorean theorem to find the height of the kite.
We can let the side the distance be at represents Erin and the kite's distance be EK (aka the hypotenuse), the side that represents Erin and her friend's distance be EF and the side that represents the kite and the friend's distance be KF.
The theorem says that a^2 + b^2 = c^2, where a and b are the two shortest sides and c is the hypotenuse.
We already have the measure of the hypotenuse (260 ft) and one of the shorter sides (240), so we have:
