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3 years ago

What’s the formula to -1/2,-3/10,-9/50,-27/250,....

Mathematics

1 answer:

laila [671]3 years ago

5 0

Answer:

The formula is ⇒ $\frac{-1}{2}(\frac{3}{5})^{n-1}$

Step-by-step explanation:

∵ The sequence is -1/2 , -3/10 , -9/50 , -27/250

∵ (-3/10) ÷ (-1/2) = 3/5

∵ (-9/50) ÷ (-3/10) = 3/5

∴ It is a geometric sequence

∴ The formula is Tn = ar^(n - 1)

Where a is the first term , r is the constant ratio between each two consecutive terms and n is the position of the number

∴ Tn = -1/2 ( 3/5)^(n - 1)

∴ $Tn= \frac{-1}{2}(\frac{3}{5})^{n-1}$

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Write 45/72 in the simplest form

Oliga [24]

Hi!

In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF.

So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have.

45: 1, 3, 5, 9, 15, and 45

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

It looks like the GCF is 9. Now we have to divide 45 and 72 by 9.

45 ÷ 9 = 5

72 ÷ 9 = 8

So the correct answer should be:

$\frac{45}{72} = \frac{5}{8}$

Hope this helps :)

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3 years ago

What is the square root of 225 and 226? Also what is a short cut I could use to figure this out more easily?

Reptile [31]

The square root of 255+266 is 241. I can't help you with shortcuts as I'm bad at explaining, but I'm sure there are websites that can help you.

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3 years ago

Read 2 more answers

Find a counterexample for the statement. If p is prime, then p2 + 4 is prime.

uysha [10]

P=2 then 2^2+4=8
P=11 then 11^2+4=125

7 0

3 years ago

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With

12345 [234]

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle $\triangle ABC$ is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is $72^\circ$ .

We have to find AB and BC.

$\angle BAC = 72^\circ$

Using trigonometric functions:

$cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches$

$sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches$

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

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nataly862011 [7]

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