Answer:
Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is
length of adjacent leg
length of hypotenuse
, the cosine of angle C is
24
26
, or
12
13
.
2680in^2
Explanation:
4(26 • 20) + 2(15 • 20)
2080 + 600 = 2680
Hope this helps!
Multiply the gain per month by the number of months:
1.2 x 7 = 8.4 pounds.
Add to the birth weight:
8 + 8.4 = 16.4 pounds.
To the nearest pound = 16 pounds.
Answer:
50
Step-by-step explanation:
68+62=130 then subract 180-130 and have 50 so x=50
Answer:
3x^2+13x+4
Step-by-step explanation:
Use FOIL (First Outer Inner Last) and expand
3x^2+12x+x+4
=3x^2+13x+4