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aleksklad [387]
3 years ago
6

What is the tenth term of the geometric sequence that has a common ratio of 1/3 and 36 as its fifth term?

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

I think its A but im not sure

Step-by-step explanation:

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4900÷7= slove without a calculator.​
balandron [24]

Answer:

use The Explicit Formula for the Fibonacci Sequence

Step-by-step explanation:

6 0
2 years ago
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore
velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

<em>Verify</em>

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional

6 0
2 years ago
Read 2 more answers
A snail can move 1/30 miles in 1/3 hour. How fast does a snail move in miles /hours
bekas [8.4K]

Answer:             1/10 miles/hour

To find how fast a snail moves in miles per hour, we can find the unit rate using a proportion.

<h2>Unit Rate</h2>

The unit rate is the amount per one unit. In this problem, the unit is for one hour. One way to find the unit rate is by using a proportion.

<h2>Proportions</h2>

Proportions look like two fractions set equal to each other with a missing variable to solve.

<h3>State our variables</h3>

let <em>x</em> be the number of miles per hour

<h3>Write a proportion</h3>

The first fraction has a number for the numerator (top) and denominator (bottom), because the question gives us the information. The second fraction has a missing value, <em>x</em>, that we are solving for. We can write <em>x</em> in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

<h2>Solve</h2>

We can solve by finding the scale factor. The scale factor is the number we can multiply the numerator by to find <em>x</em>.

<h3>Find the scale factor</h3>

Start with the proportion.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{x\ mi}{1\ hr}}

To find the scale factor,

  1. Take the denominator from the fraction with a variable: 1\ hr
  2. Take the denominator from the fraction that has no variable:  \frac{1}{3}\ hr
  3. Divide step 1 by step 2 and solve:  1\ hr\ \div\ \frac{1}{3}\ hr = 3

Our scale factor is <u>3</u>.

<h3>Solve for x</h3>

We can find <em>x</em> by multiplying the numerator in the first fraction by the scale factor. This is because <em>x</em> is also in the numerator.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{(\frac{1}{30}\ mi)*3}{1\ hr}}

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{3}{30}\ mi}{1\ hr}}

Simplify 3/30 by dividing the fraction by 3.

\displaystyle{\frac{\frac{1}{30}\ mi}{\frac{1}{3}\ hr} = \frac{\frac{1}{10}\ mi}{1\ hr}}

x = 1/10

∴ a snail moves 1/10 miles per hour.

Learn another way to solve proportions here: brainly.com/question/18437927

7 0
1 year ago
Pleaseee HELPP MEE WITHH THIS QUESTION!
Zina [86]

Answer:

1120°

Step-by-step explanation:

Use the sum of interior angles formula:

180(n-2)

Where n is the number of sides.

In a nonagon, there are 9 sides, substitute 9 for n:

180(9-2)\\180(7)\\1260

Since our nonagon is a regular nonagon, all 9 angles measure the same, so each angle measures:

\frac{1260}{9} =140

Subtract 140 from 1260:

1260-140=1120

7 0
2 years ago
Help Please! Help me answer these questions #21, 23, 25
Gala2k [10]
21. There are 4 aces and 4 fours. p = 8/52 = 2/13

23. There are 26 black cards and 6 red picture cards. p = 32/52 = 8/13

25. There are 13 clubs and 15 more cards 5 or less. p = 28/52 = 7/13
6 0
3 years ago
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