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3 years ago

Please find sin r please

Mathematics

1 answer:

LiRa [457]3 years ago

4 0

Sin r = 20/29

SOHCAHTOA

R:
(O) opposite - 20
(A) adjacent - 21
(H) hypotenuse - 29

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r

tia_tia [17]

Answer:

(a) Growth

$(b)\ y = 146(1.24)^x$

Step-by-step explanation:

Given

$a= 146$ -- current

$r = 24\%$ --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

$y = a(1 + r)^x$

Substitute: $a= 146$ and $r = 24\%$

$y = 146 * (1 + 24\%)^x$

$y = 146 * (1 + 0.24)^x$

$y = 146 * (1.24)^x$

$y = 146(1.24)^x$

5 0

3 years ago

Help please <br> 5x-2y=-10

Lena [83]

Answer:

$5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\$

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

6 0

2 years ago

Find the slope of the line passing through the points A(6, –5) and B(–5, –7).

inna [77]

Answer:

-13/1

Step-by-step explanation:

y2 - y1 / x2 - x1 to find slope

6 0

3 years ago

Read 2 more answers

Tom bought a PS4 on Black Friday for 25% off. If the system sells for $399, what is the sales price of the PS4?

Delicious77 [7]

Answer:

The sales price of the PS4 is $532.

Step-by-step explanation:

The system sells for $399 after giving 25% off on a Black Friday on the sales price.

Let the sales price of the PS4 system is $x.

Then after giving 25% discount the price will become $x(1 - \frac{25}{100}) = 0.75x$

Therefore, 0.75x = 399

⇒ x = 532

Therefore, the sales price of the PS4 is $532. (Answer)

7 0

3 years ago