Answer:
He can make it with Max's audio goods
44.575 miles < 45 miles
Step-by-step explanation:
The angle of the truck driver = 180 - (60 + 69) = 51°
By using sin Rule:
40/sin51 = Max's auto goods/sin60 = Jimmy's car supply/sin69
∴ Max's auto goods = 40(sin60)/sin51 = 44.575 miles
∴ Jimmy's car supply = 40sin(69)/sin51 = 48.052 miles
∵ The truck driver can travel another 45 miles
∴ He can make it with Max's audio goods because 44.575 < 45
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3
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Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
<h3>Good luck.</h3>
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First, take three off it, because that will form the whole-number part:
3.92 = 3 + 0.92
Next, read off the place value of the last digit. The 2 is in the 'hundredths' column, which means that 0.92 = 92/100:
3.92 = 3 + 92/100
Finally, simplify 92/100 by dividing top and bottom by 4 to get 23/25. Then, shove it all together:
3.92 = 3 23/25
Answer:
Step-by-step explanation:
This is a well known joke:
Why six afraid of seven? Because seven ate nine!
It is supposed to be a "word game" where instead of writing eight, the authour wrote ate, which sound the same but means something different.
Hope it helped,
Happy homework/ study/ exam!