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otez555 [7]
3 years ago
6

Please help me out with this

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

Answer:

10.4 cm

Step-by-step explanation:

The volume (V) of a pyramid is calculated using

V = \frac{1}{3} area of base × height (h)

area of square base = 6² = 36, thus

\frac{1}{3} × 36h = 120

12h = 120 ( divide both sides by 12 )

h = 10 cm

To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.

That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )

Using Pythagoras' identity then

s² = 10² + 3² = 100 + 9 = 109

Take the square root of both sides

s = \sqrt{109} ≈ 10.4 cm

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Find the value of y.
snow_tiger [21]

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

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The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

4 0
3 years ago
I have 30 ones,82 thousands,4 hundred thousands,60 tens,and 100 hundreds what am i
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482190

Step-by-step explanation:

6 0
3 years ago
Ronnie wants to buy a computer table that measures 10 feet by 6 feet. The cost of the table is $16 per square feet. How much wil
irakobra [83]

Answer:  $960

Step-by-step explanation:

10*6= 60

60*16= 960

4 0
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The sum of two numbers is 57. The smaller number is 19 less than the larger number. What are the numbers?
Rufina [12.5K]
The numbers are 38 and 19
6 0
3 years ago
Read 2 more answers
the first box is divide/ multiply the second is height/base and the third is divide/multiply the fourth is the base/ 2 / the ar
jeka94
-DIVIDE- the area of a triangle by the -BASE-
, and -MULTIPLY- the result by -2-

Explanation:
Thats because the formula for the area of a triangle is 1/2 x base x height OR (much not confusing formula) BASE x HEIGHT divided by 2

Mark me brainliest tysm! Have a nice day
6 0
3 years ago
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