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kotykmax [81]
3 years ago
10

A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in

clude the correct unit in your answer

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = \frac{1}{2} * base * height = \frac{1}{2} * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n
Andrew [12]
Part 1
We are given x^2-21x=-4x. This can be rewritten as x^2-18x=0.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
     x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}
     x=\frac{18\pm 18}{2}

The values of x are
     x_1=\frac{18-18}{2}=0
     x_2=\frac{18+18}{2}=18

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function. 

Part 3.
The first equation is y=x^2+2.
The second equation is y=3x+20.

We have 
     x^2+2=3x+20
     x^2-3x-18=0
Factoring, we have 
     \left(x-6\right)\left(x+3\right)=0
Equating both factors to zero.
     x_1-6=0\rightarrow x_1=6
     x_2+3=0\rightarrow x_2=-3

When the value of x is 6, the value of y is 
     y=3\left(6\right)+20=38

When the value of x is -3, the value of y is 
     y=3\left(-3\right)+20=11

Therefore, the solutions are (6,38) or (-3,11)
7 0
3 years ago
Last year there were two hundred and forty seven thousand, three hundred and seventy two weddings in the UK.
kotykmax [81]

Answer:

47,372

Step-by-step explanation:

5 0
2 years ago
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If 2×2=4 and 4×4=8. What is 8×8?​
Oxana [17]

Answer:

64

Step-by-step explanation:

7 0
3 years ago
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How do I simplify the radical expression. √8-4√2
WITCHER [35]
√8 = √(4x2)  = 2√2

4√2 =4√2

2√2-4√2 = -2√2


3 0
3 years ago
How do I multiply 89 x 38 by using partial products? PLEASE ANSWER FAST
olga_2 [115]

Answer:

The result after partial products of 89 x 38 is 3382

Step-by-step explanation:

We need to solve 89 x 38 using partial products.

In Partial products we divide each term such that 89 can be written as 80 and 9 while 38 can be written as 30 and 8

We will multiply each term with other and then find their sum.

Multiplication is shown in figure attached.

Now adding the results of each cell in the table:

2400+640+270+72= 3382

So, the result after partial products of 89 x 38 is 3382.

Learn More:

You can learn more about partial products at:

brainly.com/question/10666510

brainly.com/question/4282963

brainly.com/question/13174282

Keywords: Partial products, product

#learnwithBrainly

5 0
3 years ago
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