Answer:
Step-by-step explanation:
<u>Trapezoid</u>
The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...
A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²
The rectangle has area ...
A = bh = (2 m)(5 m) = 10 m²
So, the total area of the trapezoid is ...
trapezoid area = 5 m² +10 m² +5 m²
trapezoid area = 20 m²
__
<u>Kite</u>
The kite has been broken into two triangles, so the area of each of them is ...
A = (1/2)bh
A = (1/2)(7 m)(3 m) = (21/2) m²
Then the area of the two halves of the kite will be ...
kite area = 2 × (21/2 m²)
kite area = 21 m²
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The area of the trapezoid is <u>1 m² less than</u> the area of the kite.
Answer:
2 wrongly solutions and 18 right solutions
Step-by-step explanation:
The computation is shown below:
= 20 (problems) × 10 (points)
= 200 points
And it received 176 points
So the difference is of
= 200 - 176
= 24
In the case of wrong solution, the points that are lost is
= 10 + 2
= 12
Now the solutions done wrongly is
= 24 ÷ 12
= 2
And, the solutions does rightly is
= 20 - 2
= 18
Answer:
An equilateral triangle with a length of 2
Step-by-step explanation:
A 2-by-2 square implies that the square has a length and width of 2. Since equilateral triangles have the same length for all sides, it tells you that if one side is a certain length, all the other sides must have the same length. The largest length we can fit into this square would be 2 because any larger, the sides of the triangles would not fit into the square. Under the assumption that the length needs to be a whole number, the answer would be 2.
Answer:
a total of 129 minutes
Step-by-step explanation:
$17.48 - $2 fixed monthly fee = $15.48
$15.48/0.12 = 129 minutes
Answer:
Hence when C.I. is 80% then Margin of error will be 1.9591%
Step-by-step explanation:
Given:
1st Margin of error(MOE)=3%
1st C.I.=95%
2nd C.I.=80%
To Find:
MOE at 80%
Solution:
The proportion is 64 % i.e. is constant for both MOE
Proportion is given by (P),
P=x/n
Where x= favors congressional terms
n= total voters or sampled voters.
There values are same or constant.
i.e standard deviation is also constant
Now Formula for MOE is given by
![MOE=Z*[Standard devation/Sqrt(n)]](https://tex.z-dn.net/?f=MOE%3DZ%2A%5BStandard%20devation%2FSqrt%28n%29%5D)
here Z is value for confidence interval
MOE is directly proportional to the Z-value
So
... where k is proportionality constant.
....ratio is constant
So , for 95 % Z=1.96 and for 80% Z=1.28
%
