Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)
Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;
Volume = L³
The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;
VB = 8³
VB = 512 cm³
The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;
VM = L³
VM = 6³
VM = 216 cm³
The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;
VT = L³
VT = 4³
VT = 64
From the calculations shown, the total volume of the cubes in the tower is given as;
Total volume = VB + VM + VT
Total volume = 512 + 216 + 64
Total volume = 792 cm³
Total volume is 792 cubic centimetres.
C= -1 because when you add 38 to the other side you are left with -75c=75 then divide by -75 and you are left with -1
Answer:
b= 0.9
Step-by-step explanation:
first you find angle B: 180-90-25=65
then you will do law of sine- sin A/a=sin B/b=sin C/c
sin(90)/1=sin 65/b
sin(90)*b=sin(65)*1
sin(90)*b=0.9
b=0.9/sin(90)
b= 0.9
Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.
B.
The Probability of choosing a girl is 17/30.
The probability of choosing an A student is 5/30
<span>The P(girl) + the P(A student) = 17/30 + 5/30 = 22/30 = 11/15.</span>
