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3 years ago

Extend the pattern by 4 terms. Write an observation about the pattern. Rule subtract 6. Pattern 76,,_,_,_,

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

5 0

Answer:

76,70,64,58,52

Step-by-step explanation:

Observation all the terms in the pattern are even.

Aleonysh [2.5K]3 years ago

4 0

Answer:

76, 70, 64, 58, 52

Step-by-step explanation:

76 - 6 = 70

70 - 6 = 64

64 - 6 = 58

58 - 6 = 52

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What is the exact value of cos(7pi/8)

Damm [24]

Answer:

cos ( $\frac{7\pi}{8}$ ) = $-\frac{\sqrt{2+\sqrt{2}}}{2}$

Decimal value: −0.9238795325...

Step-by-step explanation:

Write,

cos $\frac{7\pi}{8}$ = cos $(\pi-\frac{\pi}{8})$ = −cos $\frac{\pi }{8}$

Now using half angle formula, cos(x) = 2 cos²( $\frac{\pi }{2}$ ) − 1, we can write cos $\frac{\pi }{4}$ = 2

cos²( $\frac{\pi }{8}$ ) − 1

This means $\frac{1}{\sqrt{2}}$ + 1 = 2 cos²( $\frac{\pi }{8}$ )

2 cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{\sqrt{2}}$

cos²( $\frac{\pi }{8}$ ) = $\frac{\sqrt{2}+1}{2\sqrt{2}}$

cos( $\frac{\pi }{8}$ ) = $\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$

Simplify,

$\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}$ = $\sqrt{\frac{2+\sqrt{2}}{4}$ = $\frac{\sqrt{2+\sqrt{2}}}{2}$

Hence,

cos ( $\frac{7\pi}{8}$ ) = −cos ( $\frac{\pi }{8}$ ) = $-\frac{\sqrt{2+\sqrt{2}}}{2}$

3 0

3 years ago

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What decimal is represented by this expanded form?

Radda [10]

2*10000 is 20000.

Start your expanded form with 20000. Add 7000, add 400, add 9, add 0.3 and add 0.008:

27409.308 (answer)

6 0

3 years ago

1000 tickets were bought at a concert. the amount needed to buy a children’s ticket was $4.50 and the amount needed for an adult

Sholpan [36]

Answer:

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

Step-by-step explanation:

Let

x ----> the number of children's tickets bought

y ----> the number of adult tickets bought

we know that

$x+y=1,000$

$x=1,000-y$ -----> equation A

$4.50x+8.50y=7,300$ -----> equation B

Solve the system by substitution

substitute equation A in equation B

$4.50(1,000-y)+8.50y=7,300$

solve for x

$4,500-4.50y+8.50y=7,300$

$4y=7,300-4,500$

$4y=2,800$

$y=700$

<em>Find the value of x</em>

$x=1,000-700=300$

therefore

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

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3 years ago

Find the area of the triangle

Svetradugi [14.3K]

A = LW

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4 years ago

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Identify the function y=1/2x+6

melamori03 [73]

The given function is linear and slope intercept form.

To identify the function.

<h3>What is function?</h3>

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The given function is

y=1/2x+6

Put this equation into a graphing calculator and you will find that each y value will be 1/2 the x value plus 6

The y-intercept simply means the value of y when x=0.

The slope is 1/2 and the y-intercept is 6.

So, the given function is linear and slope intercept form.

Learn more about function here:

brainly.com/question/28189067

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2 years ago

Extend the pattern by 4 terms. Write an observation about the pattern. Rule subtract 6. Pattern 76,__,___,___,___,

Extend the pattern by 4 terms. Write an observation about the pattern. Rule subtract 6. Pattern 76,,_,_,_,