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4 years ago

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.

Mathematics

2 answers:

omeli [17]4 years ago

8 0

Answer:

The area of one trapezoidal face of the figure is 2 square inches

Step-by-step explanation:

The complete question is

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?

we know that

The area of a trapezoid is given by the formula

$A=\frac{1}{2}(b_1+b_2)h$

where

b_1 and b-2 are the parallel sides

h is the height of the trapezoid (perpendicular distance between the parallel sides)

we have

$h=1\ in\\b_1=1\ in\\b_2=3\ in$

substitute the given values in the formula

$A=\frac{1}{2}(1+3)(1)$

$A=2\ in^2$

Irina-Kira [14]4 years ago

3 0

Answer:

2 square inches

Step-by-step explanation:

Hope this helps!

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sleet_krkn [62]

Answer:

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In other words:

$x\left(2x+3\right)=2x^2+3x$

Step-by-step explanation:

Given the expression

$x\left(2x+3\right)$

solving

$x\left(2x+3\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac$

$a=x,\:b=2x,\:c=3$

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$=2xx+3x$

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Thus,

$x\left(2x+3\right)=2x^2+3x$

Therefore, $2x^2+3x$ is the expression which is equivalent to $x\left(2x+3\right)$ .

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