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ella [17]
3 years ago
8

12

Mathematics
1 answer:
MArishka [77]3 years ago
7 0

Answer:

6√2

Step-by-step explanation:

So the diagonal of a square is equal to √2 times the length of the side of the square. Working backwards that would mean: 12/√2 = side of square

this means that the side of the square is 6√2

The side of the square is also the diameter of the circle.

I'm not sure this was the type of formula you're looking for but I hope it helped!

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
In-s [12.5K]
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13 
5x + 5y = 10x + y - 13
-5x + 4y = - 13             (1)

The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7                 (2)

Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8

From (3), obtain
x = 2*8 - 7 = 9

Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
4 0
3 years ago
Multiply. (−2/3)(5/4) Enter your answer as a fraction, in simplified form, in the box.
My name is Ann [436]

The answer is -5/6

have a nice day! :D



3 0
4 years ago
Read 2 more answers
a buret is a tool designed to transfer precise amounts of liquid .A buret initially contains 70.00 millimeters of a solution and
katrin [286]

Let:

Vbu= Volume of the buret

Vbk= Volume of the beaker

A buret initially contains 70.00 millimeters of a solution and a beaker initially contains 20.00 ml of the solution the buret drips solution into the Beaker. each drip contains 0.05 mL of solution, therefore:

x = Number of drips

a = volume of each drip

\begin{gathered} Vbu=70-ax \\ Vbk=20+ax \\ \text{where:} \\ a=0.05 \\ Vbu=70-0.05x \\ Vbk=20+0.05x \end{gathered}

after how many drips will the volume of the solution in the buret and beaker be equal ?​ Vbu = Vbk:

\begin{gathered} Vbu=Vbk \\ 70-0.05x=20+0.05x \\ \text{Solve for x:} \\ 0.1x=70-20 \\ 0.1x=50 \\ x=\frac{50}{0.1} \\ x=500 \end{gathered}

5 0
1 year ago
5x^2-10x=0 written in factored form​
ANEK [815]
Answer: 2,x=0
You can use symbolab
7 0
3 years ago
Find the total surface area.
marysya [2.9K]

Answer:

143.4 mi²

Step-by-step explanation:

Top: 8x6=48

Bottom: 3x8=24

Sides: 3x8=24 and 24

Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7

TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²

5 0
4 years ago
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