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2 years ago

Work out the value of: (√3)^2

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

Step-by-step explanation:

Note that

( $\sqrt{a}$ )² = a, for example

( $\sqrt{100}$ )² = 10² = 100 ← value inside the radical

Thus

( $\sqrt{3}$ )² = 3

You might be interested in

Which ordered pairs are in a proportional relationship with (0.2, 0.3)?

MAXImum [283]

Answer:

C and E

Step-by-step explanation:

We are given that

$x_1=0.2,y_1=0.3$

$\frac{y}{x}=\frac{0.3}{0.2}=\frac{3}{2}$

$k=\frac{y}{x}=\frac{3}{2}$

A. $x_2=1.2,y_2=2.3$

$\frac{y_2}{x_2}=\frac{2.3}{1.2}=\frac{23}{12}\neq=\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3)

B.(2.7,4.3)

$x_3=2.7,y_3=4.3$

$\frac{y_3}{x_3}=\frac{4.3}{2.7}=\frac{43}{27}\neq\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3).

C.(3.2,4.8)

$x_4=3.2,y_4=4.8$

$\frac{y_4}{x_4}=\frac{4.8}{3.2}=\frac{3}{2}$

Hence, the ordered pair (3.2,4.8) are in a proportional relationship with (0.2,0.3).

D.(3.5,5.3)

$\frac{y_5}{x_5}=\frac{5.3}{3.5}=\frac{53}{35}\neq \frac{3}{2}$

Hence, the ordered pair (3.5,5.3) are not in a proportional relationship with (0.2,0.3).

E.(5.2,7.8)

$\frac{y_6}{x_6}=\frac{7.8}{5.2}=\frac{3}{2}$

Hence, the ordered pair (5.2,7.8) are in a proportional relationship with (0.2,0.3).

4 0

2 years ago

The average of a list of 4 numbers is 90.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the f

Thepotemich [5.8K]

Answer:

the average of this new list of numbers is 94

Step-by-step explanation:

Hello!

To answer this question we will assign a letter to each number for the first list and the second list of numbers, remembering that the last number of the first list is 80 and the last number of the second list is 96

for the first list

$\frac{a+b+c+80}{4} =90$

for the new list

$\frac{a+b+c+96}{4} =X$

To solve this problem consider the following

1.X is the average value of the second list

2. We will assign a Y value to the sum of the numbers a, b, c.

a + b + c = Y to create two new equations

for the first list

$\frac{y+80}{4} =90$

solving for Y

Y=(90)(4)-80=280

Y=280=a+b+c

for the second list

$\frac{y+96}{4} =X\\$

$\frac{280+96}{4} =X\\x=94$

the average of this new list of numbers is 94

4 0

2 years ago

Read 2 more answers

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by

Allushta [10]

As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people? Let's just go with it.

$18x + \dfrac{35}{x}$