Givens
Area = 200 square feet
Formula
A = s^2
Soluton
s^2 = 200 square feet.
Take the square root of both sides.
square root s^2 = square root (200)
You should use a calculator to find the square root of 200
√
200
=
is the way to put it into the calculator.
s = 14.1 feet on each side. <<<<< Answer
Part (a)
<h3>Answer:
2(2.4+w) = 14.2</h3>
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Explanation:
L = 2.4 = length
W = unknown width
The perimeter of any rectangle is P = 2(L+W)
We replace L with 2.4, and replace P with 14.2 to get 14.2 = 2(2.4+w) which is equivalent to 2(2.4+w) = 14.2
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Part (b)
<h3>Answer:
w = 4.7</h3>
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Explanation:
We'll solve the equation we set up in part (a)
2(2.4+w) = 14.2
2(2.4)+2(w) = 14.2
4.8+2w = 14.2
2w = 14.2-4.8
2w = 9.4
w = 9.4/2
w = 4.7
The width must be 4.7 cm.
Subtract 28 from 49 which is 21 picked in the second hour
Answer:
1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.
2 . An equation containing more than one variable is a literal equation.
3 . A statement formed by two or more inequalities is a compound inequality.
Step-by-step explanation:
A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.
A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.
A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
