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2 years ago

In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.

Mathematics

1 answer:

BARSIC [14]2 years ago

5 0

Answer:

341

Step-by-step explanation:

sin52/320sin123

≈340.572≈341

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determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my

mylen [45]

Answer:

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. $r=\frac{a2}{a1} =\frac{a3}{a2}$ whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio $r=\frac{-18}{-3}=\frac{-108}{-18}=6\\$

Explicit formula $a_{n} =a_{1} .r^{n-1}$

Now using the above formula, we can find $8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.$

2) Here

$\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2}$ so this is not geometric sequence so no need to proceed further.

3) Common ratio $r=\frac{15}{-3}=\frac{-75}{15}=-5\\$

Explicit formula $a_{n} =a_{1} .(-5)^{n-1}$

Now using the above formula, we can find $8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.$

4) Common ratio $r=\frac{-6}{1}=\frac{36}{-6}=-6\\$

Explicit formula $a_{n} =a_{1} .(-6)^{n-1}$

Now using the above formula, we can find $8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.$

5)Common ratio $r=\frac{-8}{4}=\frac{16}{-8}=-2\\$

Explicit formula $a_{n} =a_{1} .(-2)^{n-1}$

Now using the above formula, we can find $8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.$

6)Common ratio $r=\frac{-8}{-2}=\frac{-32}{-8}=4\\$

Explicit formula $a_{n} =a_{1} .(4)^{n-1}$

Now using the above formula, we can find $8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.$

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3 years ago

The first four terms of a sequence are 16, 22, 28, 34, …

Tju [1.3M]

Answer:

A.)

Step-by-step explanation:

I feel like it's A.) because the number sequence above continues to go on due to addition of 6 to each number. And now you are adding 6 to 10n because as stated before your supposed to add 6 to each number to get the answer in the sequence.

Hopefully I helped God bless !

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2 years ago

What num com between 4 and 6?

damaskus [11]

Answer:

Step-by-step explanation:

1,2,3,4,5,6

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2 years ago

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PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag

Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

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2 years ago

How do you solve a unite rate

Lera25 [3.4K]

Answer:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

Step-by-step explanation:

As an example, in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate.

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2 years ago

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