3 years ago

Are these ratios equivalent?

Mathematics

1 answer:

skad [1K]3 years ago

5 0

Answer: Yes

Step-by-step explanation:

If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667

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What is the length of the hypotenuse of the triangle when x=10?

Schach [20]

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

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3 years ago

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Shen needs to memorize words on a vocabulary list for german class. he has memorized 12 of the words, which is two-thirds of the

katrin [286]

2/3 of the list = 12

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x = 12 / (2/3)
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3 years ago

The table shows values of of a function F(x). What is the average rate of change F(x) over the interval from X = 5 to x = 9? Sho

vitfil [10]

Answer: the average rate of change is 4.

Step-by-step explanation:

The average rate of change is the slope. Therefore, you must use the following formula for calculate the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

As you can see in the table, when x=5, y=-2 and when x=9, y=14. Then the points you must substitute into the formula are:

(5,-2) and (9,14)

Then, you obtain:

$m=\frac{14-(-2)}{9-5}=4$

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3 years ago

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laila [671]

The answer is0.124444444

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3 years ago

Use the factor theorem to determine if (x-2) and (x+4) are factors of f(x)=x^3-6x^2+11x-6

Sergio [31]

Hope this can help.
I think x-2 is factor of f(x) but x+4 is not.

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3 years ago