Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
use distributive property
0.5 x -10 = -5
0.5 x k = 0.5k
0.5(-10 + k) = 0.5k -5
Answer:
ρ_air = 0.15544 kg/m^3
Step-by-step explanation:
Solution:-
- The deflated ball ( no air ) initially weighs:
m1 = 0.615 kg
- The air is pumped into the ball and weight again. The new reading of the ball's weight is:
m2 = 0.624 kg
- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.
m_air = Δm = m2 - m1
m_air = 0.624 - 0.615
m_air = 0.009 kg
- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:
V_air = 4*π*r^3 / 3
V_air = 4*π*0.24^3 / 3
V_air = 0.05790 m^3
- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:
ρ_air = m_air / V_air
ρ_air = 0.009 / 0.05790
Answer: ρ_air = 0.15544 kg/m^3
Answer:
Option A is the correct answer.
Step-by-step explanation:
The sum of interior angles of a polygon is given by (n-2) x 180°, where n is the number of sides.
The sum of interior angles will not affect irregularity of polygon, it is same for regular and irregular polygon.
For a pentagon n =5.
Sum of interior angles = (5-2) x 180 = 3 x 180 = 540°
Option A is the correct answer.
