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MAXImum [283]
3 years ago
13

Describe the pattern in the numbers. Write the next number in the pattern. 1, 2/3, 1/3, 0

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

Answer:

-1/3

Step-by-step explanation:

its subtracting 1/3 every time

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How can I find a?<br> (Trigonometric Ratios)
earnstyle [38]

Step-by-step explanation:

Hey there!

<u>Use</u><u> </u><u>cos</u><u> </u><u>ratio to</u><u> </u><u>find </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>'</u><u>a'</u><u>.</u>

As per given, we can state that it is a Right angled triangle, so taking 38° reference angle.

We get;

p = AC

b = 6

and h= a

Here, <u>Use</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>b</u><u>,</u><u> </u><u>h</u><u> </u><u>and</u><u> </u><u>3</u><u>8</u><u>°</u><u> </u><u>angle</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>a</u><u>.</u>

\cos(38° )  =  \frac{b}{h}

\cos(38°)  =  \frac{6}{a}

0.7881 =  \frac{6}{a} [ cos(38°=0.7881]

0.7881a = 6

a =  \frac{6}{0.7881}

Therefore the measure of a is 7.61 Or 8.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
Can anyone help please?
Korolek [52]

Answer:

6

Step-by-step explanation:

6(2) = 12

12 + 9 = 21

21/3 = 7

7 - 1 = 6 <--- Number that's she's thinking

I tested every number!

8 0
2 years ago
Read 2 more answers
The town of Fitzgerald wants to build a coffee house halfway between Oak Station and Pine Station. Where should it be located (l
Lubov Fominskaja [6]

Answer:

1, 1/2

Step-by-step explanation:

the coordinates would be Oak station(8,8) and Pine Station(-6,-7).

The midpoints would be

=[8+(-6)]/2 , [8+(-7)]/2

=2/2 , 1/2

=1, 1/2

4 0
3 years ago
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x
KiRa [710]

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

y=-2x+4

3 0
3 years ago
Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....
lina2011 [118]

Answer:Answer:

\sum\left {{7} \atop {1}} \right -n(3+n)

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as S_n = \frac{n}{2}[2a+(n-1)d]

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 =  \frac{7}{2}[-8+(6)(-2)]\\\\S_7 =  \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70

The sum of the nth term of the sequence will be;

S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n =  \frac{-6n}{2} -  \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)

The sigma notation will be expressed as \sum\left {{7} \atop {1}} \right -n(3+n). <em>The limit ranges from 1 to 7 since we are to  find  the sum of the first seven terms of the series.</em>

3 0
3 years ago
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