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2 years ago

What is the surface area of the square pyramid represented by the net? Enter your answer in the box. m²

Mathematics

1 answer:

Alborosie2 years ago

7 0

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

Base is a square with dimensions of 7cm by 7cm
$7*7$

49 cm²

Step 2: Find the Area of the Triangles.

Each triangle has a base of 7cm and a height of 9cm.
7 x 9 = 63, and 63/2 = 31.5
31.5 x 4 = 126 cm²

Step 3: Add the areas together.

$49+126$
175 cm²

Thus, the surface area is 1.75 m^2 or 175 cm^2.

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3 years ago

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$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

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To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

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FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

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$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

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Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

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Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

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