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3 years ago

According to the diagram, point B lies on how many faces of the pyramid?

Mathematics

2 answers:

strojnjashka [21]3 years ago

6 0

There are 5 faces in the Pyramid. The name of these faces are as follows.

1) ABC 2) CBD 3) DBE 4) ABE 5) ACDE

So from the above faces we can see that point B is common point on the faces ABC, CBD, DBE,ABE. On the face ACDE point B is not present so point B is on the face ACDE.

So according to the diagram, point B lies on 4 faces of pyramid

Vanyuwa [196]3 years ago

6 0

It lies on 4. i hope it helps

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What is the domain and range of this graph

kupik [55]

Answer:

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3 years ago

Approximate pi plus the square root of 70 to the nearest hundredth.

stich3 [128]

Answer:

11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

π + √70 ≈ 11.51

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

√n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

r' = a +b/(a +r)

For √70, we have 70 = 8² +6 ⇒ a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

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2 years ago

Write an equation of the circle with center (-7, 4) and radius 8.

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answer

(x+7)^2 + (y-4)^2 = 64

set up equation

the equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where h is the center x coordinate and k is the center y coordinate

values

from the point (-7,4) we know that h = -7 and k = 4

since the radius is 8, r^2 = 8^2 = 64

plug in values

now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

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