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2 years ago

What is the surface area of the pyramid

Mathematics

1 answer:

Setler79 [48]2 years ago

8 0

Answer:

The surface area is 31.85 in.

Step-by-step explanation:

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Which of the following lines is parallel to the line that passes through (−1, −3) and (5, 0)?

AlexFokin [52]

Answer:

depends on the options

Step-by-step explanation:

a parallel line would be y = 1/2x + b, where b is any number

4 0

2 years ago

Can you please help me find the area? Thank you. :)))

Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

$A=w\cdot l$

For our rectangle w=12 in and l=20 in, the area is:

$\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}$

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

$\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}$

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

$A=\frac{b\cdot h}{2}$

For our triangle, the base is b=4in and the height is h=6in, then the area is:

$\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}$

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

$\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}$

The area of the figure is 228in²

8 0

1 year ago

What is the solution to -3/4x

zubka84 [21]

Answer:

3x/4

Step-by-step explanation:

that's what I found. It would be better if u had more details in your question.

5 0

3 years ago

The dependent variable is what and the independent variable is what, for every of 1 mph in the motorboat's speed, the parasail c

bazaltina [42]

<span>The dependent variable is the value that changes when one factor is changed. The independent variable is what being changed in a system. For this cae the dependent variable would be the height of the parasail while the independent variable would be the speed of the motorboat.</span>

7 0

3 years ago

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 o

romanna [79]

Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Step-by-step explanation:

3 0

3 years ago