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3 years ago

Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?

Mathematics

2 answers:

marishachu [46]3 years ago

8 0

$48 {in}^{2}$

nika2105 [10]3 years ago

7 0

Answer: B . 48 in²

Step-by-step explanation:

First o all complete the block and find the area

The area of the completed block which looks like a rectangle

= L x B

= 9 x 6

= 54 in²

Step 2 : Find the area of the removed right angled triangle using the formula

= ¹/₂b x h

where the base is 3 in and the height is 4 in

= ¹/₂ x 3 x 4

= 6 in².

Therefore, to find the area of the remaining figure :

Area of the complete block less the area of the right angled triangle

= ( 54 - 6 ) in²

= 48 in²

The option therefore is B

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2 years ago

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What is the value of the rational expression 2x^2+5x+9/x^2+2x-1 when x=-2

Sergio039 [100]

Answer:

The value of the Rational expression when $x=-2$ is: $-7$

Step-by-step explanation:

For this exercise is important to remember:

When a negative number is raised to an even power, the result will be positive.
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Then, given the following Rational expression:

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You need to follow these steps in order to find its value when $x=-2$ :

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