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Bas_tet [7]
3 years ago
15

HELP ME! The figure shows a parallelogram inside a rectangle outline: A. 1 over 32 square foot B. 5 over 16 square foot C. 9 ove

r 32 square foot D. 6 over 16 square foot

Mathematics
2 answers:
eduard3 years ago
5 0

Answer:

B. \frac{5}{16} ft^2

Step-by-step explanation:

The given figure is a parallelogram that is inside a rectangular outline.

We want to  find the area of the parallelogram.


Recall that the area of the parallelogram is given by;


Area=base\times height


The base the parallelogram is

=\frac{3}{4}-\frac{1}{8}

=\frac{5}{8} ft


We now substitute the given values into the formula to obtain;


Area=\frac{5}{8} \times \frac{1}{2}



Area=\frac{5}{16} ft^2


natali 33 [55]3 years ago
3 0
The formula for the area of a parallelogram is

A=b*h    where b=base and h=height

We know that the height is 1/2 foot. But for the base, we need to subtract 1/8 from 3/4

b=3/4-1/8=6/8-1/8=5/8

the base is 5/8 foot

now we can solve

A=5/8*1/2=5/16 or 0.3125 feet

Answer=5/16 or 0.3125 feet
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
56 m² = 8 × 7
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7 0
3 years ago
It is estimated that there are 21 deaths for every 10 million people who use airplanes. A company that sells flight insurance pr
Yuki888 [10]

Answer:

$0.79 profit per person who buys a policy

Step-by-step explanation:

For every 10 million people who buy a policy the expected outcome is

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the expected income is  

$10,000,000  ($1 per sold policy)

So the <em>expected profit </em>is

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To obtain how much the insurance company can make for each policy that it sells, we <em>cross multiply </em>

10,000,000 people ---------> $7,900,000 profit

1 person   -----------------------> x

and

10,000,000=7,900,000/x and x = $0.79 profit per person who buys a policy

4 0
4 years ago
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myrzilka [38]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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