Answer:
221
Step-by-step explanation:
2 - 1 + 5 · 4 · 11 = 2 - 1 + 20 · 11 = 2 - 1 + 220
2 - 1 + 220 = 1 + 220
Answer:
f(3) = -11
Step-by-step explanation:
f(3) means you sub the value that is inside into x
f(3) = -3(3) - 2
= -9 - 2
= -11
The aides of a right triangle will always satisfy the Pythagorean relationship ...
a² + b²= c²
We can take each of these and try it out:
(1) ... 10² + 24² = 100 + 576 = 676
√676 = <em>26 Yes</em>.
(2) ... 12² + 18² = 144 + 324 = 468
√468 = 21.6, not 20. <em>No.</em>
(3) ... 15² + 26² = 225 + 676 = 901
√901 = 30.017 Awfully close. As an engineer, I'll buy this one. <em>Yes.</em>
(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
√4,100 = 64.03, not 80.<em> No.</em>
Let x be the width of the cardboard, then the length is x+15. If 5 unches square is cut from each corner, then the new length is x+15-5·2=x+5 and the new width is x-5·2=x-10. The height of the formed box is 5 in. Now you can find the box volume:
.
If the volume of the box is 1,250 cubic inches, then
.
The length of the box is x+5=20+5=25 in. (the negative x is extra, because the length couldn't be negative).
Answer: the length of the box is 25 inches.