If order mattered, then there would be 6*5*4*3 = 30*12 = 360 different ways to form the committee. However, no single member outranks the other. Each member has equal ranking. So order does not matter.
Since order does not matter, we must consider all of the ways to arrange a single group of 4 people. That is 4! = 4*3*2*1 = 24 ways. We overcount by a factor of 24 when order doesn't matter which is why we divide the previous result (360) by 24 to get 360/24 = 15
Answer: 15
Note: you can use the combination formula n C r = (n!)/(r!*(n-r)!) with n = 6 and r = 4 to get the same answer
To find the lateral area of a cone, use this formula:
where r is the radius (in this case, 11) and h is the height (in this case, 26)
Try plugging the values in. If you need additional help, feel free to ask!
6.7 x 10x1. Move decimal once to the right to make 6.7
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.
Answer:
g = 3
Step-by-step explanation:
13=3g-2(-5+g)
3g-2(-5+g) = 13 {Use distributive rule}
3g - 5*(-2) + g(-2) = 13
3g + 10 -2g = 13 {Combine like terms}
3g - 2g + 10 = 13
g + 10 = 13 {subtract 10 from both sides}
g = 13 - 10
g = 3
