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Montano1993 [528]
3 years ago
6

In the triangle below, determine the value of a.

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

Step-by-step explanation:

This is classic right triangle trig.  Side a, our unknown, is adjacent to angle C which is a given.  You always have to use a given angle and side to find a missing side, so we have to figure out how the two givens are related to our unknown.  Side a is adjacent to angle C, and we are also given the hypotenuse.  We know side a is not the hypotenuse since the hypotenuse is ALWAYS the side across from the 90 degree angle.  The tan ratio of angle C will give us a way to have only one unknown.

tan 43 = a/26 and

26 tan 43 = a

Use your calculator now to find the missing side.  

a = 24.2 units long

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In the question, we are informed that the equation of the line of best fit, for the, scatter plot with x representing the number of ice cubes and y representing the milliliters of juice is given as y =  -29.202x + 293.5.

We are asked to tell how many milliliters of juice will be in a glass with 7 ice cubes based on the line of best fit.

To find the milliliters of juice in the glass with 7 ice cubes, we substitute x = 7, in the equation of the line of best fit, to get a value of y, representing the milliliters of juice in the glass.

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