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2 years ago

what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?

Mathematics

2 answers:

myrzilka [38]2 years ago

5 0

The surface area of this square pyramid is 112 cm^2!
Hope this helps <3

melamori03 [73]2 years ago

3 0

Answer:

Surface area of a square pyramid is:

112 cm²

Step-by-step explanation:

The surface area of square pyramid is given by:

S=2bs+b²

Where b is the length of base and s is the slant height.

and Area of base=b²

Here, s=12 cm

and Area of base=b²=16 cm²

⇒ b=4 cm

Hence, Surface Area=2×12×4+4×4

= 112 cm²

Hence, surface area of a square pyramid is:

112 cm²

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3 years ago

SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

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34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

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<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$$Z(X)=\frac{x-\mu}{\sigma}$

$$Z(433)=\frac{433-\ 433}{90}=0$

$$Z(523)=\frac{523-\ 433}{90}=1$

Z lies between o and 1.

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Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

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2 years ago

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3 years ago