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katen-ka-za [31]
2 years ago
5

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
5 0

The area of the trapezoid is calculated as 45.5 feet squared.

<h3></h3>

What does Area of Trapezoid mean?

The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.

<h3>The formula for Trapezoid Area:</h3>

If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,

A=1/2(a+b) h

where, A= the area of the trapezoid

h= height

'a' & 'b' = parallel side bases

<h3>Solution:</h3>

a=5.5 feet , b= 8.5 feet & h=6.5 feet

A=1/2(a+b)h

∴A=1/2(5.5+8.5)*6.5

⇒A=1/2(14)*6.5

⇒A=7*6.5

⇒A=45.5 feet squared

Therefore, the solution is  (b) 45.5 feet squared.

Learn more about Trapezoid:

brainly.com/question/12451654?referrer=searchResults

#SPJ10

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The width of a rectangle is six meters less than three times its length. If the area of the rectangle is 105 square meters. what
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Answer:

length = 7 meters

Step-by-step explanation:

l = length

w = width

w = 3×l - 6

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l×(3×l - 6) = 105

3×l² - 6×l = 105

l² - 2×l = 35

l² - 2×l - 35 = 0

solution of a squared equation is

(-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = -2

c = -35

(2 ± sqrt(4 - 4×-35))/2 = (2 ± sqrt(4+140))/2 =

(2 ± sqrt(144))/2 = (2 ± 12)/2 = 1 ± 6

l1 = 1+6 = 7 meters

l2 = 1-6 = -5 meters, which did not make any sense for an actual object.

so, l = 7 meters remains.

7 0
3 years ago
Find the value of x. The diagram is not drawn to scale.
GarryVolchara [31]

Step-by-step explanation:

y = 180 \degree - 116 \degree = 64 \degree \\  \\ x = 360 \degree - (125 \degree + 72 \degree + 64 \degree) \\  = 360 \degree -261 \degree \\  = 99\degree \\ \\   \huge \red{ \boxed{\therefore \: x = 99\degree }}\\ \\

Thus, option C is the correct answer.

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find the exepted value of the random varible with the following probability distribution x=2,3,4,5,6,7,8,9,10,11,12 Probability
dem82 [27]

The expected value of the random variable is 7

<h3>How to determine the expected value of the random variable?</h3>

The probability distribution is given as:

x=2,3,4,5,6,7,8,9,10,11,12

Probability =1/36,1/18,1/12,1/9,5/36,1/6,5/36,1/9,1/12,1/18,1/36

The expected value of the random variable is calculated using

E(X) = ∑xP(x)

Using the above formula, we have

E(x) = 2 * 1/36 + 3 * 1/18 + 4 * 1/12 + 5 * 1/9+ 6 * 5/36 + 7 * 1/6 + 8 * 5/36 + 9 * 1/9 + 10 * 1/12 + 11 * 1/18+ 12 * 1/36

Evaluate the sum of products

E(x) = 7

Hence, the expected value of the random variable is 7

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Which is a line segment
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