The answer is 270.56
Solution:
15.2*35.6=541.12
541.12/2=270.56
Hello,
Let's x the number of dimes
175-x then number of nickels
A dime is $0.10 and a nickel is $0.05.
0.10*x+0.05*(175-x)=13.30
10x-5x=1330-5*175
5x=455
x=91 (dimes) and 175-91=84 nickels
Answer:
(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°
Step-by-step explanation:
assuming side a/c is side BC/AB since it's opposite of angle A/C
(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA
=> cos (25°) = BC/AC or a/b
=> cos (25°) = a/25
=> a = cos (25°) × 25
=> a ≈ 22.7
(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA
=> sin (25°) = AB/AC or c/b
=> sin (25°) = c/25
=> c = sin (25°) × 25
=> c ≈ 10.6
(c) 180° - 25° - 90°(the right angle) = 65°
Quadratic trinomial can be represent as product
ax² + bx + c =a(x<span> - </span>x1)(x<span> - </span>x2), where x1 and x2 are roots of quadratic equation ax² + bx + c=0,
so to solve this problem we need to find roots of
3y²+29y-10=0
y=(-b+/-√(b²-4ac))/2a
y=(-29+/-√(29²-4*3*(-10)))/(2*3)
y=(-29+/-√(961)/(6)
y=(-29+/-31/(6)
y1=-60/6=-10
y2=2/6=1/3
3(y-1/3)(y+10)=(3y-1)(y+10)
check: (3y-1)(y+10)=3y²-y+30y-10=3y²+29y-10
