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3 years ago

Please help me with my homework!!!!

Mathematics

1 answer:

Zina [86]3 years ago

8 0

Answer:

∠ACB= 57°

AB= 8.80 units (3 s.f.)

AC= 10.1 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

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What is the recursive rule for this geometric sequence? 27, 9, 3, 1, ... Enter your answers in the boxes.

ANEK [815]

Answer:

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

$a_n=a_{n-1}(r)$ , where $a_n$ represents the general term, $a_{n-1}$ , represents the previous term, and r represents the common ratio.

Plugging in our values, we have

$a_n=a_{n-1}(r)$

We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

8 0

3 years ago

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2. What are the next two terms of the following sequence?-2,4,-8, 16, ...

Marat540 [252]

Answer:

Step-by-step explanation:

$-2\\(-2)(-2)=4\\(-2)(4)=-8\\(-2)(-8)=16\\-----------------\\(-2)(16)=-32\\(-2)(-32)=64\\\vdots$

Each next term is created by multiplying the previous term by (-2).

3 0

3 years ago

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The graph of a proportional relationship passes through (6, 42)(6, 42) and (1, y)(1, y). Find y.

n200080 [17]

Answer:

y=7

Step-by-step explanation:

6/42 =1/y

y=42/6=7

5 0

3 years ago

The length of the rectangle is 7/(x-4) feet, while its width is 5/x feet. Find its perimeter. Please help asap!!!!! :(

damaskus [11]

The perimeter would be (24x - 40)/(x^2 - 4x).

In order to find this, first double the length and width as you would to find any perimeter.

7/(x - 4) * 2 = 14/(x - 4)

5/x * 2 = 10/x

Now to add those together, we need to give them common denominators. In order to do that with the first one, we need to multiply by x/x

14/(x - 14) * x/x = 14x/(x^2 - 14x)

Then we can do the same with the second part by multiplying by (x - 4)/(x - 4)

10/x * (x - 4)/(x - 4) = (10x - 40)/(x^2 - 14x)

Now we can add the two together

14x/(x^2 - 14x) + (10x - 40)/(x^2 - 14x) = (24x - 40)/(x^2 - 14x)

3 0

3 years ago

Plz, answer! 34 + 2 ⋅ 5 =

8_murik_8 [283]

$3^{4}$ + 2 × 5

To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

Parentheses

There are none for this steps so go on to the next step

Exponent:

$3^{4}$

so...

81 + 2 × 5

Multiplication:

81 + 2 × 5

2 × 5

so...

81 + 10

No division in this equation so skip this step and go to the next one

Addition:

81 + 10

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

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