If m+1/m= 3, then prove that m^5+1/m^5= 123

Mathematics

1 answer:

Lady_Fox [76]2 years ago

6 0

Step-by-step explanation:

$\qquad\sf {:}\longrightarrow m+\dfrac {1}{m}=3$

$\qquad\sf {:}\longrightarrow m^2+1/m=3$

$\qquad\sf {:}\longrightarrow m^2+1=3m$

$\qquad\sf {:}\longrightarrow m^2-3m+1=0$

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Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land

Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are 89 acres (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37% of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

$\frac{37}{100}\times 240$

$0.37\times 240$

$88.80$

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are 89 acres (approximately).

5 0

3 years ago

the height of a cylinder is three times the diameter of the base . The surface area of thre ylinder is 126pi ft^2. What is thr r

Over [174]

The answer is 3 ft

The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)

We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r

126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3

8 0

2 years ago

Read 2 more answers

Solve: p+ 7- 5= -10 - 3 please use an explanation so I know how to do this next time pleaasee

skelet666 [1.2K]

Answer:

P = - 15

Step-by-step explanation:

P+7-5 = -10 - 3

P +2 = - 13

(If taking from one side,you must do to the other to get P alone.)

P+2 = - 13