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Hitman42 [59]
3 years ago
9

The net of a square pyramid is shown

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

Option (D)

Step-by-step explanation:

Surface area of a square pyramid is determined from the formula,

Surface area = Area of the square base + 4(Area of one lateral triangular side)

Area of the base = (Side)²

                            = 8²

                            = 64 cm²

Area of one lateral triangle = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(8)(8)

                                             = 32 cm²

Therefore, surface area of the square pyramid = 64 + 4(32)

                                                                              = 64 + 128

                                                                              = 192 cm²

Therefore, Option (D) will be the correct option.

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bearhunter [10]
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A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 3
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We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation time= \frac{distance}{speed} to find the time of the first cyclist:
t= \frac{24.2}{10}
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So, we know that she has traveled for 2.42 hours.
 
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>t represents the time of our first cyclist, <span>the time of our second cyclist will be </span>t-2.42.

Now we are going to use the equation distance=(speed)(time) to relate the speeds and times of the two cyclist:
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Replace (1) in (2)
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4 0
3 years ago
If f(x) = 8 -3 and g(x) = 3x2 + x-6, find (f + g)(x).
Marizza181 [45]

Answer:

D

Step-by-step explanation:

(f+g)(x)   basically means to "ADD" f(x) and g(x).

We have

f(x)=\frac{x}{2}-3

and

g(x)=3x^2+x-6

Now we simply add these two, adding like terms as shown below (and simplify):

(f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9

Correct answer is D

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