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photoshop1234 [79]
3 years ago
8

Solve 90x = 81+25x^2​

Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Answer:

1.8

Step-by-step explanation:

Solve for x

90

x

=

81

+

25

x

2

Subtract

25

x

2

from both sides of the equation.

90

x

−

25

x

2

=

81

Subtract

81

from both sides of the equation.

90

x

−

25

x

2

−

81

=

0

Factor the left side of the equation.

Tap for more steps...

−

(

5

x

−

9

)

2

=

0

Multiply each term in

−

(

5

x

−

9

)

2

=

0

by

−

1

Tap for more steps...

(

5

x

−

9

)

2

=

0

Set the

5

x

−

9

equal to

0

.

5

x

−

9

=

0

Solve for

x

.

Tap for more steps...

x

=

9

5

The result can be shown in multiple forms.

Exact Form:

x

=

9

5

Decimal Form:

x

=

1.8

Mixed Number Form:

x

=

1

4

5

Upgrade to

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A friend is in 5th grade math and asks you to explain exponents with example. What do you say?
Vesnalui [34]

Answer:

If my friend is in 5th grade and they need an example on exponents I would show them something like this 7 to the 3 power would be equal to 7 times 7 times 7 which also equals 343 or 4 to the 4th power would be equal to 4 times 4 times 4 times 4 which equals 256

Step-by-step explanation:

This is a simpiler way to show a younger student how to figure out exponents also. Have a great day :D  

If you need help me and my older brother both share this account.

4 0
3 years ago
Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours
puteri [66]
Lets say p is for pay. An expression for you would be p=8h because you would get 8 dollars per hour that you work. Then you would replace h with however many hours you worked. Ex: p=8h. You worked 12 hours, so 8 x 12 would equal 96, so you would get 96 dollars as your total pay, or p.
7 0
3 years ago
Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3
steposvetlana [31]

Answer: A=2144\ cm^2

Step-by-step explanation:

For this exercise you need  to use the following formula for calculate the area of regular polygon:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where is "s" the length of any side, "n" is the number of sides.

Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":

s=35.3cm\\n=5

 Therefore, substituitng values into the formula, you get that the area f the pentagon is:

A=\frac{(35.3cm)^2(5)}{4tan(\frac{180}{5})}\\\\A=2144\ cm^2

8 0
3 years ago
Find the third side in simplest radical form
klasskru [66]

Answer:

2 \sqrt{71}  \: units

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

thid \: side =  \sqrt{ {15}^{2}  + ( \sqrt{59} )^{2} }  \\  \\  =  \sqrt{225 + 59}  \\  \\  =  \sqrt{284}  \\  \\  =  \sqrt{ {2}^{2} \times 71 }  \\  \\  = 2 \sqrt{71}  \: units

3 0
3 years ago
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