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Montano1993 [528]
3 years ago
9

A number is equal to three times a smaller number also the sum of the smaller number and four is the larger number the situation

is right on the corner playing below where X represents the smaller number and why represents the larger number
Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

I'm assuming that "why" is not part of this problem so this too is not answerable

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Please someone help me..!!!!​
Nikolay [14]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Triple Angle Identity: sin 3A = 3sinA - 4sin³A

\text{Given:}\quad \sin\bigg(\dfrac{\theta}{3}\bigg)=\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)

<u>Proof LHS → RHS</u>

LHS:                                 sin Ф

Let A = Ф/3                     sin 3A

Triple Angle Identity:     3sinA - 4sin³A

Substitute Ф/3 = A:         3sin(Ф/3) - 4sin³(Ф/3)

Substitute sin(Ф/3):         3\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)-4\bigg(\dfrac{1}{2}\bigg(m+\dfrac{1}{m}\bigg)\bigg)^3

\text{Simplify:}\qquad \qquad \dfrac{3m}{2}+\dfrac{3}{2m}-4\bigg(\dfrac{1}{8}\bigg(m^3+3m+\dfrac{3}{m}+\dfrac{1}{m^3}\bigg)\bigg)\\\\.\qquad \qquad \qquad =\dfrac{3m}{2}+\dfrac{3}{2m}-\dfrac{m^3}{2}-\dfrac{3m}{2}-\dfrac{3}{2m}-\dfrac{1}{2m^3}\\\\.\qquad \qquad \qquad =-\dfrac{m^3}{2}-\dfrac{1}{2m^3}\\\\\text{Factor:}\qquad \qquad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)

\text{LHS = RHS:}\quad -\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)=-\dfrac{1}{2}\bigg(m^3+\dfrac{1}{m^3}\bigg)\quad \checkmark\\

7 0
4 years ago
Mario invested $6000 in an account that pays 5% annual interest compounded annually. Using the formula A=P(1+r)^t, what is the a
Tasya [4]

The answer is $5,512.50

ur welcome

3 0
4 years ago
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Hello please help i’ll give brainliest
IgorC [24]

Answer:

The difference between the shortest and longest fish is 12 inches.

Hope this helped!!

6 0
3 years ago
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Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
Levart [38]
14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2
6 0
3 years ago
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Yesterday, 5/7 of the Latin students took the Latin placement exam. Meanwhile, 64 out of 89 Greek students took the Greek placem
erica [24]

Answer:

Greek

Step-by-step explanation:

compare 5/7 and 64/89

5/7 = .71429

64/89= .71910

64/89 is the greater fraction

4 0
3 years ago
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