Answer:
In this problem, we need to describe the relation between variables, if that relation is functional or not. It's important to say that we assumed that the first variable is independent, and the second is dependent.
<h3>(a)</h3>
Age - Height of the person along his life: These variable are functinal and make total sense, because through time the person grows, which means the height changes as the age increases. These variables have a proportional relationship.
<h3>(b)</h3>
Height - Age of the person: These relation is not functional, becasuse age can't be a dependent variable, beacuse the age of a person doesn't depends on his height.
<h3>(c)</h3>
Gasoline price - Day of the Month: These relation is not functional, becasue time must be the independent variable.
<h3>(d)</h3>
Day of the Month - Gasoline price: These realation make sense, beacuse the price of the gasoline can be depedent of the day of the month.
<h3>(e)</h3>
A number and its fifth part: Notice that the fifth part depends on the number, it's defined by it, so this can be a function.
<h3>(f)</h3>
A number and its square root: These two variables represent a function, where "a number" represents the domain value and "its square root" represents a range vale.
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
ANSWER
Katnis is right
EXPLANATION
We use the Remainder Theorem to check if she is right.
According to the Remainder Theorem, if the polynomial function,
is divided by x+1, then the remainder is given by
We substitute x=-1 into the function to obtain,
We simplify to get:
Katnis is right because the remainder is zero
<h2>
Answer:</h2>
$15.08
<h2>
Step-by-step explanation:</h2>
As the value 226.20 is the total of all wages, you can work out the mean.
Mean averages are usually worked out as the total / number of values.
Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.
Answer:
The answer is below
Step-by-step explanation:
Given the system of equations:
x + y + 2z = 9
2x + 4y - 3z = 1
3x + 6y - 5z = 0
This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:
The matrix form is:
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