Answer:
V = 160mph
Step-by-step explanation:
We need to start from the formula of speed: V=d/t
We have two travels, with and against the wind, both done in the same time.
Clearing t from the formula, we will have: t=d/V2
450miles/V-35mph (speed of the wind is subtracted)
702miles/V+35mph (speed of the wind is subtracted)
Now, we find V:
450miles/V-35mph = 702miles/V+35
450*V+35 = 702*V-35
450V+15,750 = 702V-24,570
702V-450V = 15,750 + 24,570
252V = 40,320
V = 40,320/252
V = 160mph
formula for a diagonal line in a square is D = Square root of 2 times the length of the side
so square root of 2 times 300 = about 424 feet. the answer is the last one
Answer:
? = 32.20422
Step-by-step explanation:
We know the adjacent side and the hypotenuse
cos ? = adj / hyp
cos ? = 33/39
cos ? = 11/13
Taking the inverse cos of each side
cos ^ -1( cos ?) = cos^-1(11/13)
? = 32.20422
Answer:15
Step-by-step explanation:
–2x<span> + 6. (</span>f<span> – </span>g)(x<span>) = </span>f<span> (</span>x<span>) – </span>g(x). = [3x + 2] – [4 – 5x]. = 3x + 2 – 4 + 5x. = 3x + 5x + 2 – 4. = 8x – 2. (f<span> × </span>g)(x) = [f<span> (</span>x)][g(x)]. = (3x + 2)(4 – 5x). = 12x + 8 – 15x2<span> – 10x ... of the </span>functions<span> at </span>x<span> = 2 and then work from there. It's probably simpler in this case to evaluate first, so: </span>f<span> (2) = 2(2) = 4. </span>g(2) = (2) + 4 = 6. h(2) = 5<span> – (2)</span>3<span> = 5 – 8 = –</span><span>3</span>
