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3 years ago

3) Consider the sequence -11 ; 2sin3x ; 15; ...

Mathematics

1 answer:

DiKsa [7]3 years ago

8 0

9514 1404 393

Answer:

x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

2sin(3x) = (-11 +15)/2

sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

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Answer:

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3 years ago

if a square + b square + c square minus ab minus bc minus ca equals to zero, prove that A equals to B equal to C

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3 years ago

The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of

Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

$\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}$

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$

The equation that the model represents is therefore;

The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

#SPJ1

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1 year ago