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Elodia [21]
3 years ago
8

Given the formula A=3.14ab, solve for b.

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

A/ 3.14a=b

Step-by-step explanation:

A=3.14ab

Divide each side by 3.14 a  to isolate b

A/ 3.14a=3.14ab/3.14a

A/ 3.14a=b

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
. a) In a group of 75 students, 20 liked football only, 30 liked cricket only and 18 did not like any of two games? (i) How many
qaws [65]

i)50

<u>Steps</u>

30+20=50

ii)7

<u>Steps</u>

75-(30+20)-18

=75-(50)-18

=7

iii)20

<u>Steps</u>

From the available data from the question

iv)30

<u>Steps</u>

From the available data from the questionl

v)From the attcged image file

4 0
2 years ago
The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equ
Tems11 [23]

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

z^4=1

are

1, i, -1, -i

so, the solutions of z^4=16=2^4 are

2, 2i, -2, -2i

Thank you

3 0
3 years ago
Find the output, b, when the input, a, is 6.<br> b = -1-7a<br> b=
natka813 [3]
The answer is -43
B=-1-7(6)
B=-1-42
B=-43
7 0
3 years ago
A triangular park has sides 80m, 64m and 48m.​
KatRina [158]

Answer:

plz type the full question ,.......or this is the full question.....

4 0
3 years ago
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