Answer:
x = 11
Step-by-step explanation:
Complementary means they add up to 90°
So add the angles up and set them equal to 90°
3x - 4 + 5x + 6 = 90
ADD the x's
8x - 4 + 6 = 90
COMBINE the -4 and 6
8x +2 = 90
SUBTRACT 2 from both sides.
8x = 88
DIVIDE by 8 on both sides.
8x/8 = 88/8
x = 11
d = diameter of the copper wire = 8.252 mm
r = radius of the copper wire = d/2 = 8.252 mm /2 = 4.126 mm = 0.004126 m
A = area of cross-section of the copper wire = πr² = (3.14) (0.004126)² = 53.5 x 10⁻⁶
L = length of the copper wire = 2.40 km = 2400 m
ρ = resistivity of copper wire = 1.68 x 10⁻⁸
resistance of copper wire is given as
R = ρL/A
inserting the above values in the formula
R = ( 1.68 x 10⁻⁸)(2400)/(53.5 x 10⁻⁶)
R = 0.753 ohm
We can see here that there are 2 triangular bases on the prism.
To calculate the area of a triangle, we multiply the base and the height and then divide by 2.
A = 8 x 6 /2
A = 48/2
A = 24
Hope it helps!
Answer:
x =14.73
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse
12^2 + x^2 = 19^2
144 + x^2 =361
Subtract 144 from each side
144-144 +x^2 =361-144
x^2 =217
Take the square root of 217
x = sqrt(217)
x =14.73
Answer:
1) Every object moves in a straight line unless acted upon by a force.
(2) The acceleration of an object is directly proportional to the net force exerted and inversely proportional to the object's mass.
(3) For every action, there is an equal and opposite reaction.
