<span>f(x)=x^2+6x+3
=(1/2.6)^2=3^2=9
f(x)=(x^2+6x+9)+3-9
=(x+3)^2-6</span>
To solve the previous problem, we can split the triangle into two right triangles, each having a base of 10 cm and a hypotenuse of 18 cm. The measure of the longer side is necessary to determine the height of the isosceles triangle. By applying the Pythagorean theorem, a² + b² = c², we have a² + (10cm)² = (18cm)², leading to a² = 324 cm² - 100 cm², thus a² = 224 cm². This results in a = √224 cm², which is approximately a = 14.97 cm. The area is then given by A = 1/2 * base * height, or A = 1/2 * 20 cm * 14.97 cm, yielding A = 149.70 cm². Using the formula A = r/2 * p, we derive 149.70 cm² = r/2 * (18cm + 18cm + 20cm), simplifying to 149.70 cm² = r/2 * 56 cm. This results in 149.70 cm² ÷ 56 cm = r/2. Consequently, r/2 equals 2.67 cm, and thus r is 5.34 cm. In conclusion, the final answer is that the radius is approximately 5.35 cm.
(4*4*10)*3
160*3=480
(5*3*10)*2
150*2=300
480+300=780 cubic meters
For Offer 1:
33−33×0.4
=19.8
Now, applying an additional discount of 25%:
19.8−19.8×0.25
=14.85. Offer 2 provides a better deal:
34−34×0.55
=15.3, followed by a 5% discount:
15.3−15.3×0.05
=14.535. In total, the difference in price between the two offers is:
14.85−14.535
=0.315.
