A guy wire connects the top of a 18 3/4 foot tall tornado siren to the ground where Samson's shadow ends. The distance from the base of the siren pole to where the wire touches the ground is 120 feet. If Samson is 6 1/4 feet tall and his head barely touches the guy wire where he is standing, how long is Samson's shadow?

40 feet

Step-by-step explanation:

Required:

Find the length of Samson's shadow

The question can be illustrated with the attached figure where Samson's shadow is represented with x.

To solve for x, we make use of the following equivalent ratios:

Convert to fraction

Cross Multiply

Make x the subject

Hence, Samson's shadow is 40ft

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

i think its a and d

step-by-step explanation: