9514 1404 393
Answer:
Part A: 2 f2
Part B: draw a diagonal (AC, for example); 1 f12
Step-by-step explanation:
Part A:
The area of a parallelogram is given by the
formula
A=bh
where "b' is the length of the base, and 'h' is the
perpendicular distance between the bases.
Using the numbers shown on the diagram, the
area is
A = (3 ft)(2/3 ft) = 3-2/3 f12
A =2 ft2..... area of the parallelogram
Part B:
Typically, a polygon is partitioned into triangles
by drawing diagonals from one of the vertices. It
does not matter which one. (In a quadrilateral,
only one diagonal can be drawn from any given
vertex.) Here, the "base" of each triangle is the
same as the base of the parallelogram: 3 feet.
The "height" of each triangle is the same as the
height of the parallelogram: 2/3 ft.
The area of a triangle is given by the formula
Answer:
540m^3
Step-by-step explanation:
There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.
The length = 6W + 7. 2L + 2W = 70. This is a system of equations. To get L by itself in the second problem, -2W from both sides to get 2L = 70 - 2W. Divide by 2 to get L = 35 - W. Now put them together. 6W +7 = 35 - W. Add W to both sides to get 7W + 7 = 35. Subtract 7 from both sides to get 7W = 28. Divide 7 to both sides to get W = 4. Now replace W with 4. 6(4) + 7 = L. 24 + 7 = 31. The length is 31. To check, do the second equation. 2(31) + 2(4) = 62 + 8 = 70. Your answer is 31.
Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean 
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an within 1.4 , it means that
Divide boths ides by 3 , we get
Hence, So must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an within 1.4 point of μ .
