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3 years ago

Solve for the missing variable.

Mathematics

1 answer:

yan [13]3 years ago

6 0

Answer:

x ≈ 6.3
y ≈ 7.7
z ≈ 4.9

Step-by-step explanation:

In this geometry, there are three "geometric mean" relations that apply. They can be summarized by the rule ...

<em>a segment touching the hypotenuse is equal to the geometric mean of the segments of the hypotenuse it touches</em>.

For x and y, the two segments will be the short one (4 or 6, respectively) and the entire hypotenuse (4+6=10).

Using this rule, we have ...

x = √(4·10) ≈ 6.3

y = √(6·10) ≈ 7.7

z = √(4·6) ≈ 4.9

The geometric mean of two numbers is the square root of their product.

_____

<em>Additional comment</em>

These relations come about because all of the right triangles in this figure are similar. That means corresponding sides are proportional.

x/10 = 4/x ⇒ x² = 40

y/10 = 6/y ⇒ y² = 60

z/6 = 4/z ⇒ z² = 24

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castortr0y [4]

Answer:

Step-by-step explanation:

Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60

The velocity of the rocket at its maximum height is zero

v = dh/dt = -32t + 96t

At the maximum height, v = 0

0 = -32t + 96t

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t = 96/32

t = 3secs

Substitute t = 3 into the modeled function to get the maximum height

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h(3) = -144+ 288 + 60

h(3) = 144 + 60

h(3) = 204

Hence the maximum height reached by the rocket is 204m

Get the height after 2 secs

h(t) = -16t^2 + 96t + 60

when t = 2

h(2) = -16(2)^2 + 96(2) + 60

h(2) = -64+ 192+ 60

h(2) = -4 + 192

h(2) = 188m

Hence the height of the rocket after 2 secs is 188m

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3 years ago

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mojhsa [17]

Answer:

Step-by-step explanation:

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3 years ago

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kirill115 [55]

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Hope this helps!
==jding713==

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Answer:

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Step-by-step explanation:

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