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Luden [163]
3 years ago
5

Polygon ABCD has the following vertices:

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

9514 1404 393

Answer:

  (b)  38.5

Step-by-step explanation:

The polygon is a trapezoid with bases 4 and 7 and height 7. Its area is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(4 +7)(7) = 77/2

  A = 38.5 . . . . square units

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It is a quadratic equation, if it is equal to zero. It is not factor able. 
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3 years ago
Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.
miv72 [106K]

Answer:

2121 in^{2} Rounded to the nearest inch.

Step-by-step explanation:

A = \pi r^{2}  Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = \frac{\frac{\pi }{6} }{2\pi } \pi r^{2}  The \frac{\pi }{6} is the part of the circle and the whole circle is 2\pi

\frac{\frac{\pi }{6} }{2\pi } is the same as \frac{\pi }{6}÷\frac{2\pi }{1} Which is the same as \frac{\pi }{6} x \frac{1}{2\pi } Which is the same a \frac{1}{12}

A = \frac{1}{12}\pi90^{2}

A = \frac{1}{12}(3.14)(90)(90) = 2119.5.  When you use the \pi on your calculator you get a slightly different number.  This is due to rounding.

A = 2120.575041

5 0
2 years ago
Yelania and Audrey are playing the Integer game. Below art the two cards they selected. Remember, in the integer game, the numbe
neonofarm [45]

Answer:

The models are different.

Step-by-step explanation:

Yelania and Audrey took two cards which are 4,-6 and 4,6 respectively.

They do not lie on the same points as the sum of Yelania's cards=4-6=-2 and the sum of Audrey's cards=4+6=10.

Both -2 and 10 lie differently on the number line.

Therefore, the models are different from each other.

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3 years ago
How do you write 0.9 as a percentage?
mamaluj [8]
0.9 as a percentage would be 0.9% it doesn't really change
7 0
3 years ago
beaus recipefor granola bars calls for 3 1/2 cups of oatmeal. he only have 1/6 cup scoop.how many scoops of oatmeal will he need
Stells [14]
<h2>Answer:</h2>

The number of scoops of oatmeal  he will need for the recipe is:

                             21 scoops.

<h2>Step-by-step explanation:</h2>

It is given that:

Beaus recipe for granola bars calls for 3 1/2 cups of oatmeal.  

i.e. the cups of oatmeal required is:

3\dfrac{1}{2}\ cups=\dfrac{3\times 2+1}{2}\ cups

i.e.

\dfrac{7}{2}\  \text{cups\ of\ oatmeal\ is\ required}

Also, he has:

\dfrac{1}{6}\ \text{cup scoop}

This means that:

\text{Number of scoops of oatmeal he need}=\dfrac{\text{Number of cups of oatmeal}}{\text{Number of cup scoop he has}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{\dfrac{7}{2}}{\dfrac{1}{6}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{7\times 6}{1\times 2}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=21\ \text{scoops}

7 0
3 years ago
Read 2 more answers
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