Answer: 
Step-by-step explanation:
You need to analize all the information given in the exercise.
You know that the actual height of the T-rex on the projector lens is the following:
The height of the projected T-rex is:
Make the conversion from meters to centimeters:
Therefore, the scale factor will be:
Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:
The total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
<h3>How to determine how much will the carpenter spend if the rope costs $3.82 per foot?</h3>
The length of rope is given as:
Length = 9.3 feet
The price per rope is given as:
Price per rope = $3.82 per foot
The total amount spent by the carpenter is calculated as:
Total amount = Length * Price per rope
Substitute the known values in the above equation
Total amount = 9.3 feet * $3.82 per foot
Evaluate the product
Total amount = $35.526
Hence, the total amount the carpenter will spend if the rope costs $3.82 per foot is $35.526
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It was marked down $18.49.
Circumference = 360 degrees
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>
<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>
<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>
<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>
<span>75 deg. ≈ 1.308997 radians</span>
In a four-digit number, the first digit cannot be 0, so there are only 4 even numbers available. For the second, third, and fourth digits, there are 5 available numbers. Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500 numbers.
