How do you do this? Explain

Mathematics

1 answer:

Alisiya [41]3 years ago

3 0

Answer:

Step-by-step explanation:

This is because when making a triangle, the two shortest sides have to add up to be bigger than the biggest side. For example, A would work because if you did 4+6, it would equal 10 which is bigger than the biggest side. B and C add up to something bigger than 6. However, D is different. If you do 2+4, that equals 6. It has to be bigger than six, not equal

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Frank stands 400 feet from the base from the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of

Black_prince [1.1K]

Top of Statue |
|
|
|
Frank -----------------------------------------------Base

Frank - Base = 400 ft
Base- Top statue = 360 feet
Angle of elevation =Angle Top-Franck-Base, let it be angle Ф

tan (Ф) = 360/400 = 0.9
arc tan (0.9) = tan⁻¹(0.9) = 41.98 ,

Ten angle of elevation Ф ≈ 42°

7 0

3 years ago

Read 2 more answers

Multiply and simplify. y^3 . y^5 . y^-2 .y<br> A. y^-4<br> B. 1/y^4<br> C. y^-5<br> D. 1/ y^3

drek231 [11]

Answer:

y^7

Step-by-step explanation:

y^3 . y^5 . y^-2 . y

= y^3 . y^5 . y^-2 . y^1

= y^( 3 + 5 - 2 + 1 )

= y^( 3 + 5 + 1 - 2 )

= y^( 9 - 2 )

= y^7

7 0

3 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as: