Answer:
2^1* 3^7
Step-by-step explanation:
8^-1 * 3^3/ 2^-4 * 9^-2
Negative exponents move from the numerator to the denominator or from the denominator to the numerator
2^4*9^2* 3^3 /8^1
Rewriting 9^2 as 3^2^2 = 3^4 and 8 = 2^3
2^4 * 3^3 * 3^4 / 2^3
2^4/ 2^3 = 2 and 3^3 * 3^4 = 3^(3+4) = 3^7
2* 3^7
<h2><em>Given PR + QR = 25 , PQ = 5
</em></h2><h2><em>PR be x. and QR = 25 - x </em></h2><h2><em>
</em></h2><h2><em>Pythagoras theorem ,PR2 = PQ2 + QR2
</em></h2><h2><em>
</em></h2><h2><em>x2 = (5)2 + (25 - x)2
</em></h2><h2><em>
</em></h2><h2><em>x2 = 25 + 625 + x2 - 50x
</em></h2><h2><em>50x = 650
</em></h2><h2><em>x = 13
</em></h2><h2><em> </em></h2><h2><em>
</em></h2><h2><em> PR = 13 cm
</em></h2><h2><em>QR = (25 - 13) cm = 12 cm
</em></h2><h2><em>
</em></h2><h2><em>sin P = QR/PR = 12/13
</em></h2><h2><em>
</em></h2><h2><em>cos P = PQ/PR = 5/13
</em></h2><h2><em>
</em></h2><h2><em>tan P = QR/PQ = 12/5 </em></h2><h2><em /></h2><h2><em>HOPE IT HELPS (◕‿◕✿)</em></h2>
6% increase
To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
If your answer is a negative number, then this is a percentage decrease.
Answer: -2 1/7
Step-by-step explanation:
15 ÷ 7 = 2 remainder 1, the denominator stays the same
<span>f+0.2=−3
subtract 0.2 to both sides
f + 0.2 - 0.2 = -3 - 0.2
simplify
f = -3.2
answer is </span><span>f = 3.2</span>
