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4 years ago

What are three ratios equvilent to 8:20

Mathematics

1 answer:

Genrish500 [490]4 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Multiplying or dividing each part of the ratio gives an equivalent ratio

Given

8 : 20 ← divide both parts by 2

= 4 : 10 ← divide both parts by 2

= 2 : 5 ← ratio in simplest form

Multiply both parts by 2

8 : 20 = 16 : 40

4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios

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Step-by-step explanation:

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3 years ago

Brad made a graph showing how many students were absent from school every day last week.

bazaltina [42]

Answer:

Step-by-step explanation:

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3 years ago

Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 unit

hjlf

Answer:

The equation in the polar form is;

$r = \dfrac{6}{4 + 3 \cdot sin(\theta)}$

Step-by-step explanation:

e = 3/4 > 1, we have an hyperbola

The polar equation of a conic is of the form;

For vertical directrix

$r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}$

For horizontal directrix

$r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}$

Where;

k = Distance from the focus to the directrix = 2

We have;

$r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}$

$r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}$

Which gives the equation in the polar form as follows;

$r = \dfrac{6}{4 + 3 \cdot sin(\theta)}$ .

8 0

3 years ago

Use the Pythagorean theorem to find the length of the leg in the triangle shown below 12 15

Norma-Jean [14]

Answer:

9 = x (assuming 15 is the hypotenuse)

Step-by-step explanation:

15^2 = 12^2 + x^2

225 = 144 + x^2

subtract 144 from both sides

81 = x^2

square root both sides

9 = x

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3 years ago

The solution to the system of equation below is (-2,-1).

enot [183]

Its the first one
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4 years ago