Answer:
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
20-8 = 12
12- -3 = 15
15 + -3 = 12 + 8 + 20
Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, <em>x:</em>
c² = a² + b²
c² = (6.1)² + (10.6)²
c² = 37.21 + 112.36


c = 12.2 mi
Therefore, x = 12.2 mi
Answer:
Step-by-step explanation:
let x be part at 8%, y be part at 10% and z be part at 15%
(1) x+y+z=6300
the amount of money invested at 15% was $100 more than the amounts invested at 8% and 10% combined. so
(2) z=x+y+100
The total annual income from these investments was $766. so
0.08x+0.1y+0.15z=766 or
(3) 8x+10y+15z=76600
substitute (2) into (1)
x+y+x+y+100=6300
(4) 2x+2y=6200
substitute (2) inot (3)
8x+10y+15(x+y+100)=76600
(5) 23x+25y=75100
solving (4) n (5)
x=1200
y=1900
z=1200+1900+100=3200
Answer:
x = 5; y = 5
Step-by-step explanation:
One angle is a right angle, so its measure is 90 degrees.
One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.
x and y are opposite two 45-degree angles, so x = y.
In a 45-45-90 triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
We have
x : y : 5sqrt(2)
x/1 = 5sqrt(2)/sqrt(2)
x = 5
y = 5