Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
The headquarters of the United States Department of Defense is in the shape of a Pentagon, hence its colloquial name, "the Pentagon." Heptagons are harder to find; the British fifty-pence coin is a heptagon, and some cookie tins and pill boxes and whatnot are heptagonal.
If the smaller side is 16 inches and the larger side is 3 times as long it would be 48 inches.
Answer: Block A has the greatest density.
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Explanation:
We'll need the volume of each block.
To find the volume, multiply length width and height together.
- Block A volume = 6*4*2 = 48 cubic cm
- Block B volume = 6*2*4 = 48 cubic cm
- Block C volume = 2*4*6 = 48 cubic cm
All three blocks have the same volume even though they look different. This is because the order of the 2, 4 and 6 doesn't matter. The blocks are just rotated versions of one another.
Divide the mass of the block over the volume to find the density.
- Block A density = (mass)/(volume) = (3 kg)/(48 cubic cm) = 0.0625 kg per cubic cm
- Block B density = (mass)/(volume) = (1 kg)/(48 cubic cm) = 0.0208333 kg per cubic cm (approximate)
- Block C density = (mass)/(volume) = (2 kg)/(48 cubic cm) = 0.041667 kg per cubic cm (approximate)
To summarize, we have these densities:
- Block A = 0.0625 kg per cubic cm (exact)
- Block B = 0.0208333 kg per cubic cm (approximate)
- Block C = 0.0416667 kg per cubic cm (approximate)
We then see that block A has the greatest density since 0.0625 is the largest among the three results. More material is packed in the same volume of space compared to the other blocks. In other words, its more densely packed.
You can think of a crowded city being dense with people, compared to a wide open rural town that has fewer people and is less dense.
Possibly the quickest way to see how or why block A is the most dense is to notice block A has the most mass. The more mass, the higher the density when we fix the volume to be the same each time. Therefore, block B will be the least dense since it has the lowest mass. Once again, this trick only works when the volumes are all the same. Otherwise, you'll have to compute the densities shown above.
Answer:
75
Step-by-step explanation
Angle 2 and angle 3 are supplementary. So angle 2+angle 3=180
Substitute
105+Angle 3=180
180-105=angle 3
Angle 3=75
