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nekit [7.7K]
3 years ago
9

What is the area, in square feet, of the trapezoid below?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:  " 94. 6  ft² ".
_____________________

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

The formula for the area of a trapezoid:
______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;

      in which:
______________________
 "A = area (in units of ft²) "

 "b1 = length of (base one) = 7.7 ft (from diagram) ;  

 "b2 = length of (base two—the other base) = 14.3 ft. ;
 "h = height (perpendicular) = 8.6 ft.
_______________________

To solve for the Area, "A" ; we plug in the known values:
_______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" );

   =  (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;

  = (1/2) * (22 ft.) * (8.6 ft) ;

  = (11 ft.) * (8.6 ft.) ;

   = (11) * (8.6) * (ft.) * (ft.) ;

   = (11) * (8.6) * ft² ;

A  =   " 94. 6  ft² ".

_______________________
Hope this is helpful to you!
  Best wishes!
________________________

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Identify the height of the rectangle, given that A=(24x2+96x) ft2.
ch4aika [34]

Answer:

Second option, h=(x^{2} + 4x) ft

Step-by-step explanation:

Area = Base x Height

Height = Area ÷ Base

= \frac{24x^{2} +96x}{24}

= \frac{24x^{2} }{24} +\frac{96x}{24} (split fraction for easier simplification)

= x^{2} +4x

3 0
3 years ago
16. On June 8, 1992, a crop circle with an 18-meter radius was found in a wheat field near Szekesfehervar,
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Assume that all (525)poker hands are equally likely. What is the probability that you will be dealt:
AlekseyPX

Answer:

There is 1.98% of probability of being dealt a flush in 5-card Poker

Step-by-step explanation:

To know the probability of a flush being dealt, we can calculate the number of cases when that happens and divide it by the total number of cases of poker hands that exist, naming A the event of a flush.

We will use combinations (nCr button on a calculator) to count the number of cases, because we don't care about the order (it is the same to be dealt a 2, 4, 6, 7 and 8 of hearts than the opposite order), being a flush the event when we take 5 cards out of 13 of the same suit, times 1 out of 4 possible suits and the total number of cases is taking 5 random cards out of 52.

P_{A} =\frac{Cases   Of Flush}{Hands} =\frac{\left(\begin{array}{ccc}13\\5\end{array}\right)*\left(\begin{array}{ccc}4\\1\end{array}\right)}{\left(\begin{array}{ccc}52\\5\end{array}\right)} =\frac{5148}{2598960}=0,00198\\

That means there is about a 2% of probability of being dealt a flush.

In other words, of every 16660 plays, 33 will be, on average, a flush

6 0
3 years ago
In the function f(x) = 4(x2 − 6x ) 20, what number belongs in the blank to complete the square?
vitfil [10]

The number to be added to the blank should be 9.

According to the statement

we have to find the number which is missing from the given expression.

So, For this purpose, We know that the

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given function is f(x) = 4(x² − 6x + ____) + 20. To complete the expression, complete the square of the one inside the parentheses. This is done by dividing the coefficient of x with 2 and then raising it to two.

-6/2 = -3

(-3)² = 9

Therefore, the number to be added to the blank should be 9.

Learn more about Expression here

brainly.com/question/723406

Disclaimer: This question was incomplete. Please find the full content below.

Question:

In the function f(x) = 4(x^2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

#SPJ4

7 0
2 years ago
In triangle JKL, angle JKL is a right angle, KM and is an altitude. JL=8 and JM=2, find JK
brilliants [131]

Answer:

4

Step-by-step explanation:

I could be wrong, but I think it's 4. as JL divided by JM equals 4. Like I said, I could be wrong, but it's worth a shot.

6 0
3 years ago
Read 2 more answers
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