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julsineya [31]
2 years ago
13

The number of ducks to geese in Miller's Pond last year was 2:3. This year the ratio of ducks to geese is 5:9. The number of gee

se stayed the same. Did the number of ducks increase or decrease? Explain
Mathematics
1 answer:
My name is Ann [436]2 years ago
4 0
No decreased-

Set up equaivalent ratioo. It started out 2 duck to every 3 geese, continue the pattern and see for a change

ducks   2    4   6
geese   3   6   9

but now its 5 ; 9 instead of 6 to 9, therefore the number of ducks decreased
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The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l
Strike441 [17]

Answer:

\large\boxed{d_1=\dfrac{2A}{d_2};\ d_2=\dfrac{2A}{d_1}}

Step-by-step explanation:

A=\dfrac{1}{2}d_1d_2\qquad\text{multiply both sides by 2}\\\\2A=2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}d_1d_2\\\\2A=d_1d_2\to d_1d_2=2A

\text{For}\ d_1:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_2\neq0\\\\d_1=\dfrac{2A}{d_2}\\\\\text{For}\ d_2:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_1\neq0\\\\d_2=\dfrac{2A}{d_1}

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2 years ago
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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
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<span>m∠A =73.7° 
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Researchers randomly assigned participants either a tall, thin "highball" glass or a short, wide "tumbler," each of which held 3
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Find the x-intercepts for the parabola defined by this equation: y=-3x^2-6x+9
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7 0
2 years ago
A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
2 years ago
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