Solve for x. Show each step of the solution. Show all work. 4.5(8-x)+36-2.5(3x+24)=102
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Answer:
The total cost is <em>28.26.</em>
Step-by-step explanation:
The radius of the birdbath is <em>1.25 feet.</em>
The cost per foot is <em>3.6</em> .
<em>The formula for perimeter of circle is given by,</em>
<em>= 2πR , where R is the radius of circle.</em>
Inserting the above value of radius in the equation above,
circumference = 2(π)(1.25) = 2(3.14)(1.25) = 7.85
Thus the total cost is,
= (7.85)(3.6) = 28.26
The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation , where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and
Simplifying the values, we get,
and
Dividing, we get,
and
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.