I used geogebra for this. I hope this helps
Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2
John (7%)
Bo (71%)
Mike (75%)
Answer: The volume is 40 cubic inches
Step-by-step explanation: Each toy block is 1 cubic inch, which means each toy block is a cube with all sides (Length, width and height) measuring 1 inch. That makes the volume of each cube or block to be derived as;
Volume = L x W x H
Volume = 1 x 1 x 1
Volume = 1 cubic inch
The first 3 floors are made up of six rows of four blocks. This means, the first 3 floors has six by four blocks, that is, six times four blocks and that gives us 24 blocks.
The fourth to eighth floors are made up of four rows of four blocks. This also means four by four blocks, that is, four times four blocks and that gives us 16 blocks.
Having determined the amount of blocks used in the total model building as
1st - 3rd = 24 blocks
4th - 8th = 16 blocks
The total number of blocks used is 24 plus 16 which equals 40. Having been told that each block has a volume of 1 cubic inch, the volume of the model building equals 40 cubic inches.
Answer:
15,2% of American men are between 68.6 and 69.4 inches tall.
Step-by-step explanation:
p(69)=0.19 tells you that 19% of all American men are 69in tall. Now, we want to know what percentage of those men are exactly between 68.6 and 69.4 inches tall. We only need to multiply the given density function by the gap between the two heights we are looking for, so:
0.19 * (69.4-68.6) = 0.19*0.8 = 0.152*100 = 15,2%
