The perimeter of a polygon is the sum of the lengths of all its sides. A rectangle has 4 sides, and opposite sides are congruent, so 2 sides have length x + 5, and 2 sides have length 11. Add all the lengths and set the sum equal to 50. Then solve the equation for x.
x + 5 + x + 5 + 11 + 11 = 50
2x + 32 = 50
2x = 18
x = 9
Answer: x = 9
Answer:
1776.25
Step-by-step explanation:
35x7=245. 245x7.25=1776.25
Answer:
7/12
Step-by-step explanation:
Simplification is something we can do if both the numerator and denominator are divisible by the same number.
In 14/24, both numbers are divisible by 2.
So, we divide both the numerator and denominator by 2. We get 7/12.
Therefore 14/24 = 7/12.
Answer:
10⁻⁶
Step-by-step explanation:
Since the volume of saliva coughed up by my friend is 0.0100 cm³ and 10⁺⁹ of this volume contains the virus. The volume containing the virus is thus V = 0.0100 cm³ × 10⁺⁹ = 0.0100 × 10⁺⁹ cm³ = 0.0100 × 10⁺⁹ × 10⁻⁶ m³ = 0.0100 × 10⁺¹⁵ m³.
Now, since the flu virus is spherical, its volume is v = 4πr³/3 where r is its radius.
Let n flu viruses be contained in the volume V of flu viruses coughed out by my friend.
So n × v = V
v = V/n
4πr³/3 = V/n
r = ∛(3V/4πn)
substituting the value of V into the equation, we have
r = ∛(3 × 0.0100 × 10⁺¹⁵ m³/4πn)
r = (∛0.03/4πn) × 10⁻⁵ m
r = 0.1336/∛n × 10⁻⁵ m
r = 1.336/∛n × 10⁻⁶ m
Since the factor 10⁻⁶ is found in the radius, the order of magnitude of the influenza virus that have just landed on me are of the order 10⁻⁶
Answer:
f⁻¹(x) = -4 + √x
Step-by-step explanation:
Switch the positions of x and y then solve for x.