3 years ago

What is the surface area of the square pyramid? Use the net of the pyramid to find the surface area.

1 answer:

6 0

Using the net, we see that the square pyramid breaks down to 4 equivalent triangles and a square. We can use this formula to solve for the surface area:

Sa=A(square)+4*A(triangle)

The formula for the area of a square is

A=l*w
A=7*7
A=49mm²

The formula for the area of a triangle is:

A=1/2b*h
A=1/2*7*12.2
A=42.7mm²

Now that we have the individual areas of the shapes, we can solve for the surface area.

Sa=A(square)+4*A(triangle)
Sa=49mm²+4*42.7mm²
Sa=49mm²+170.8mm²
Sa=219.8mm²

Answer=219.8mm²
ANSWER=A

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Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is $p=\frac{1}{4}$

$\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}$

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

$\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334$