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prohojiy [21]
3 years ago
8

X+ 1/x =5 what is the value x²+1/x²?

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0
X+ 1/x= 5
⇒ (x+ 1/x)^2= 5^2
⇒ (x+ 1/x)^2= 25
⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25
⇒ (x^2+ 1/x^2)+ 2*1= 25
⇒ x^2+ 1/x^2= 25 -2
⇒ x^2+ 1/x^2= 23

The final answer is 23~
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the sum of three times a number and 25 is more than the number increased by 7.write the inequality that represents this situatio
Eduardwww [97]

Answer: 3x+25>x+7

Step-by-step explanation:

The number is x

5 0
3 years ago
A ladder reaches the top of a 20 foot building. the ladder is 4.5 feet away from the building. how long is the ladder?
KATRIN_1 [288]

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = \sqrt{420,25}

x ~ 20,5

Letter C: 20,5 feet

4 0
3 years ago
!HELP! SHOW WORK PLEASE SO I CAN UDNERSTAND!
Nata [24]
Ok.

The volume of a cone is the volume of a cylinder over 3.

The volume of a cone is:
\frac{1}{3} \pi r^{2}h

This problem gives us the diameter, which is twice of the radius.  So, we'll just half it.
Radius (me) = 4 cm.

Substitute our given values into the equation.
\frac{1}{3} \pi (4)^{2}h \ or \  \frac{1}{3} \pi (4)^{2}(10) \ or \  \frac{1}{3} \pi (16)(10)

Multiply
\frac{1}{3} \pi(160) \ or \  \frac{1}{3} (3.14)(160) \ or \ 1.047(160)

Multiply
167.52 \ cm^{3}

This would make 167 \ cm^{3} the closest option.
4 0
3 years ago
Read 2 more answers
A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
marin [14]

Answer:

Step-by-step explanation:

There are many ways this could be done, but the simplest way is to divide 18 into 72. That gives 4. So each plot is 4 * 20 = 80 m^2

If you are willing to use fractions, the answer could be 20*72 / 18 = 8 * 10  which is more feasible and still gives 80, but the land may not permit it. However math will.

It's hard to give an exact answer when it is this open ended.

6 0
3 years ago
In a certain state, each automible license plate number consist of two letters followed by a four digit.How many disnict license
Yakvenalex [24]

Answer:  (a) 6760000

(b) 5760000

Step-by-step explanation:

Total letters in English alphabet = 26

Total digits = 10

Given: Each automobile license plate number consists of two letters followed by a four-digit.

(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10

= 6760000

(b) if the letters O and I are not used, total letters can be used ]= 26-2=24

Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10

=5760000

3 0
3 years ago
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