Answer:
121
Step-by-step explanation:
A calculator can answer this for you.
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Following the steps of the <em>order of operations</em>, you evaluate inner parentheses first. The exponents are the first to be evaluated there.
11[6^2/(5^2-4^2)+7]
= 11[6^2/(25 -16)+7]
= 11[6^2/9 +7]
Then you do the exponent ...
= 11[36/9 +7]
Now you do the division ...
= 11[4 +7]
And finally, you can finish up the outer parentheses ...
= 11·11
= 121
Answer:
2500 feet
Step-by-step explanation:
500*5=2500
Step-by-step explanation:
look at the picture shown
Answer:
41°
Step-by-step explanation:
This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.
-1125 = -1500·cos(A)
cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)
A = arccos(3/4) ≈ 41.4096°
The angle formed by the lines to the lampposts is about 41°.
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<em>Additional comment</em>
If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.
In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.