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2 years ago

Somebody please help

Mathematics

1 answer:

Gwar [14]2 years ago

4 0

Answer:

x=3√5
y=3√14

Step-by-step explanation:

The geometric mean relations for this geometry tell you the length of each segment (x or y) is the root of the product of the hypotenuse segments it touches.

x = √(9×5) = (√9)(√5) = 3√5

y = √(9×(9+5)) = (√9)(√14) = 3√14

_____

Additional comment

The geometric mean of 'a' and 'b' is √(ab).

The geometric mean relations derive from the fact that the three triangles in this geometry are similar. That means corresponding sides are proportional.

Segment x is both a long side (of the smallest triangle) and a short side (of the medium-size triangle). Then it will be involved in proportions involving the relationship of the long side and the short side of the triangles it is part of:

long side/short side = x/5 = 9/x

x² = 5·9

x = √(9×5) . . . . as above

In like fashion, y is both a long side and a hypotenuse, so we have ...

long side/hypotenuse = y/(9+5) = 9/y

y² = (9+5)(9)

y = √(9×14) . . . . . as above

The same thing holds true on the other side of the triangle. The unmarked segment is both a short side and a hypotenuse, so its measure will be the geometric mean of 14 and 5, the hypotenuse and its short segment.

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If f(x) = 4x-x², find square root f(3/2)

katrin [286]

Answer:

$\frac{\sqrt{15} }{2}$

Step-by-step explanation:

$\sqrt{f(\frac{3}{2} )$ , substitute $\frac{3}{2}$ to x

$f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2$ = $\frac{15}{4}$ or 3.75

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2 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

X = a fisher at Clearwater Park had a fishing license

Y = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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4 years ago

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mote1985 [20]

1) 4(6j+1+8j) = 16j + 4 + 32j
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3 years ago

A 20ft ladder leans up against the wall. if the ladder is 3ft from the wall, what angle does the ladder make with the ground

RoseWind [281]

Answer:

Explanation:

let the angle the ladder makes with the ground be θ

θ = cos⁻¹(3/20)

θ = cos⁻¹(0.15)

θ ≈ 81.37°

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3 years ago

Hey guys please answer if you know

jonny [76]

Answer:

Step-by-step explanation:

note that

(a + b)² = a² + b² + 2ab , that is

a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides

a² + b² = (a + b)² - 2ab

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3 years ago

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