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coldgirl [10]
4 years ago
13

Find the area of the shaded region.

Mathematics
1 answer:
pentagon [3]4 years ago
6 0

Answer:

Area of the shaded region = 100 inch ^2

Step-by-step explanation:

Area of the Shaded region= Area of rectangle - Area of the triangle

Area of the rectangle= Length * breadth

Length= 20 inch     Breadth= 10 inch

Putting the values in the formula

Area of the rectangle :

                                        20 * 10\\\\                                     =200 square inches

Area of the Triangle =  \frac{1}{2} * Base*Height

     Base of triangle= 20 inches  , Height of the triangle = 10 inches

              Area of triangle  Area=\frac{1}{2} *20*10\\\\=100 inch^2

Area of the shade region:

                                  = 200-100\\                                         = 100 inch^2

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Question 3
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Answer:

(a) The next 3 terms in the sequence are 17, -31, and 65

(b) The 3 terms that came before -7 are 2, -1, and 5

Step-by-step explanation:

a. To determine the next 3 terms in the sequence after -7,

From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.

Then, for the next number after -7, we will get

-7 × -2 = 14; 14 + 3 = 17

For the second number after -7, we will get

17 × -2 = -34; -34 + 3 = -31

For the third number after -7, we will get

-31 × -2 = 62; 62 + 3 = 65

Hence, the next 3 terms are 17, -31, and 65

(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2

Hence, the previous number to -7 (that is, the third term in the sequence)

-7 -3 = -10; -10 ÷ -2 = 5

Then, the second term will be

5 - 3 = 2; 2 ÷ -2 = -1

and the first term will be

-1 -3 = -4; -4 ÷ -2 = 2

Hence, the 3 terms that came before -7 are 2, -1, and 5

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