On a basic parallelogram, opposite sides are parallel, diagonals bisect each other and, consecutive angles are supplementary. However on a parallelogram diagonals aren't congruent.
So the answer is D
Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
<h3><u>Volume of a pyramid</u></h3>
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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
Therefore:
<h3><u>Volume of the garden shed</u></h3>
N^2 +3n+6 / n (as a fraction)
Answer:
Step-by-step explanation:
Interesting bit of trivia if true.
The central Pacific Railway had a 24 month head start. Each month let them go 8.75 miles, so the total distance the rail went was 24*8;75 = 210 miles. They built this before the Union Pacific had done 1 mile of track.
So now when the Union Pacific started building, there remained 1590 - 210 miles of track to be laid. 1590 - 210 = 1380 miles of track.
The rest is pretty straight forward. Between the two rail companies, they built 28.75 miles of track a month.
Therefore the number of months = 1380/28.75 = 48 months.
The project took (in total) 48 + 24 = 72 months to build.
The Union Pacific built 48 * 20 = 960 miles of rail
The Central Pacific built 72 * 8.75 = 630 miles of rail
Total distance = 1590 miles which is the stated total.
Answers
Total Time = 72 months.
Union Pacific distance built = 960 miles
Central Pacific distance built = 630 miles