Answer:
<em>x = 55 ; y = 60</em>
Step-by-step explanation:
Consider the polygon shown. Determine the value of y. PLEASE HELP
1 answer:
Answer:
y = 64°
Step-by-step explanation:
From the picture attached,
m(∠E) = 90°
m(∠E) = m(∠D)
m(∠B) + 67° = 180° [pair of linear angles]
m(∠B) = 113°
m(∠C) + 75° = 180°
m(∠C) = 180° - 75°
= 105°
Since, sum of interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides
For n = 5,
Sum of interior angles = (5 - 2) × 180°
= 540°
m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°
m(∠A) + 113° + 105° + m(∠D) + 90° = 540°
(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]
2(m∠D) = 232
m(∠D) = 116°
m(∠D) + y° = 180° [Linear pair of angles]
116 + y = 180
y = 64°
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Volume of Sphere
6231 spheres can be made from 1 kg of lead
Step-by-step explanation:
Given Density of lead d = 11.35 gm/cm³
Let the maximum number of spheres that can be made with 1 kg of lead = n
Radius of sphere r = 1.5 mm = 0.15 cm
Volume of Sphere =
Volume of one sphere V = (4/3) * 22.7 * r³
Volume of n spheres = n * (4/3) * 22.7 *r³ ….. Eq (1)
Total mass of lead m = 1kg = 1000gm ...Eq (2)
Equating the above two equations
n × V × d = m
n × (4/3) × 22.7 × ( 0.15 )³ = 1000
Therefore calculating n= 6231.45
But considering the whole number, 6231 spheres can be made from 1 kg of lead.