I reallyyyyyyyyyyy need help!

Find the 12th term of the following geometric sequence.<br> 10, 30, 90, 270,

DanielleElmas [232]

Answer:

Step-by-step explanation:

Since the above sequence is a geometric sequence

An nth term of a geometric sequence is given by

$A(n) = a(r)^{n - 1}$

where a is the first term

r is the common ratio

n is the number of terms

From the question

a = 10

To find the common ratio divide the previous term by the next term

That's

r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3

Since we are finding the 12th term

n = 12

So the 12th term is

$A(12) = 10( {3})^{12 - 1}$

$A(12) = 10 ({3})^{11}$

Hope this helps you

8 0

4 years ago

!!!!!PLEASE HELP!!!!!<br> *30 POINTS PLEASE*

Lelechka [254]

Answer:

Part 1)

Part a) Yes, triangle ABC is congruent with triangle DEC by SAS

Part b) No, triangle ABC is not congruent with triangle DCE

Part 2) No, is not enough information

Part 3) Yes, triangle RST is congruent with triangle VUT by ASA

Part 4) Yes, triangle DEF is congruent with triangle DHG by SAS

Step-by-step explanation:

Part 1) we have two cases

Part a) Is triangle ABC and DEC congruent?

Yes, triangle ABC is congruent with triangle DEC by SAS

we know that

The <u><em>Side Angle Side postulate</em></u> ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

AC≅DE

BC≅EC

and

∠ACB≅∠DCE ---> by vertical angles

Part b) Is triangle ABC and DCE congruent?

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

the corresponding sides are not congruent

because

AB is not congruent with DC

Part 2) we have that

No, is not enough information

If AC≅XZ then the triangles ABC and XYZ will be congruent by SSS

or

If ∠ABC≅∠XYZ then the triangles ABC and XYZ will be congruent by SAS

Part 3) we have that

Yes, triangle RST is congruent with triangle VUT by ASA

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle -Side-Angle (ASA) postulate

In this problem

ST≅UT

∠RST≅∠VUT ----> is a right angle

∠RTS≅∠VTU ---->by vertical angles

so

Two angles and the included side are the same in both triangles

therefore

triangles RST and VUT are congruent by ASA

Part 4) we have that

Yes, triangle DEF is congruent with triangle DHG by SAS

we know that

The <u><em>Side Angle Side postulate</em></u> ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

DE≅DH

DF≅DG

and

∠EDF≅∠HDG ---> by vertical angles

7 0

3 years ago

I need help on this asap

guapka [62]

Answer:

the answer to this is

$315

3 0

2 years ago

Read 2 more answers

If 3a+4a=14, and b+6b=21, then 7(a+b) =<br><br> Help and show work!

den301095 [7]

Hello!

You have to find what a and b are

3a + 4a = 14
b + 6b = 21

Lets do a first

3a + 4a = 14

Combine like terms

7a = 14

Divide both sides by 7

a = 2

Now lets do b

b + 6b = 21

Combine like terms

7b = 21

Divide both sides by 7

b = 3

Put a and b into the third equation

7( 2 + 3) =

Do what is in parenthesis first

7(5) =

Multiply

35

The answer is 35

Hope this helps!

8 0

3 years ago

Read 2 more answers

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 feet.

melamori03 [73]

Answer:

Part a) 3 inches

Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

we know that

The scale drawing is

$1\ inch:2\ feet$

That means

1 inch in the model represent 2 feet in the actual

Part a) What is the length of the garden in her model?

we know that

The length of the garden is 6 feet in the actual

so

Find out the length of the garden in her model, using proportion

$\frac{1}{2}\ \frac{in}{ft}=\frac{x}{6}\ \frac{in}{ft}\\\\x=6/2\\\\x=3\ in$

Part b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

we know that

The model width is described as 5 inches. Both the 3-inch length and the 5-inch width are less than the 8.5 inch and 7 inch dimensions of the paper Kelly is using.

therefore

She can easily draw her model on that size paper.

7 0

4 years ago