1. One face is 5.1*2.5=12.75 un^2, one is 8.5*2.5=21.25, one is 6.8*2.5=17, and two are 1/2*6.8*5.1, so both are 34.68. Total is 85.68, rounded to 85.7 cm^2. (C)
2. The area of the circles is 2(π*2^2), which is about 25.1. The rectangle's area can be found as 2π*2*3, which is about 37.7. The total is rounded to 62.8 m^2 (D)
3. Rectangular faces: 3.6*1.8=6.48, 8.5*1.8=15.3, 7.7*1.8=13.86
Triangles: 2(1/2(3.6*7.7))=27.72
Total: 63.36, round to 63.4 km^2 (B)
To answer this case, you need to convert the blueprint measurement into the actual measurement by multiplying it with the scale. In this case, the scale is 8ft/1 inch. Then the calculation would be:
Rectangle actual length = rectangle blue print length * blue print scale
Rectangle actual length = 25 inch * 8ft/inch= 200ft
Rectangle actual width = rectangle blue print width* blue print scale
Rectangle actual width = 16 inch * 8ft/inch= 128ft
Rectangle actual area= Rectangle actual length * Rectangle actual width = 200ft * 128 ft= 25600ft square
Answer:
![C(10,4)=10C_4=210](https://tex.z-dn.net/?f=C%2810%2C4%29%3D10C_4%3D210)
Step-by-step explanation:
A combination is an arrangement where the order is not important. Mathematically, a combination is the number of different groups of "
" elements that can be formed from an initial group of "
" elements. It's calculated with the following formula:
![C(n,k)=nC_k=\frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=C%28n%2Ck%29%3DnC_k%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
Where:
![k\leqslant n](https://tex.z-dn.net/?f=k%5Cleqslant%20n)
In this case:
![n=10\\k=4](https://tex.z-dn.net/?f=n%3D10%5C%5Ck%3D4)
Therefore the number of ways that the disc jockey selction can be done is:
![C(10,4)=10C_4=\frac{10!}{4!(10-4)!} =\frac{10!}{4!(6!)}=210](https://tex.z-dn.net/?f=C%2810%2C4%29%3D10C_4%3D%5Cfrac%7B10%21%7D%7B4%21%2810-4%29%21%7D%20%3D%5Cfrac%7B10%21%7D%7B4%21%286%21%29%7D%3D210)
Answer:
A (4.18
Step-by-step explanation:
You do 2.2 (base) x 3.8 (height) and divide it by 2