Answer:
7.7 pounds = 3.5 kilograms
Step-by-step explanation:
Given that,
Weight of a gallon of liquid = 7.7 pounds
We need to find weight in kilograms.
We must know the relation between pounds and kilograms and it is as follows :
1 kilogram = 2.20 pounds
or
1 pounds = (1/2.2) kilograms
7.7 pounds = (7.7/2.2) kilograms
= 3.5 kilograms
Hence, 7.7 pounds is equal to 3.5 kilograms.
Answer:
7(a + 2b)(a² - 2ab + 4b²)
Step-by-step explanation:
Given
7a³ + 56b³ ← factor out 7 from each term
= 7(a³ + 8b³) ← sum of cubes which factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
8b³ = (2b)³ ⇒ b = 2b
a³ + 8b³ = (a + 2b)(a² - 2ab + (2b)²) = (a + 2b)(a² - 2ab + 4b²)
Hence
7a³ + 56b³ = 7(a + 2b)(a² - 2ab + 4b²) ← in factored form
Answer:
Measure of arc CD = 112°
Step-by-step explanation:
Since quadrilateral ABCD is a cyclic quadrilateral,
m∠A + m∠C = 180°
129° + m∠C = 180°
m∠C = 180° - 129°
m∠C = 51°
Since, m(arc BD) = 2(m∠C) [Since measure of the arc is double of its inscribed angle]
= 2(51°)
= 102°
Since, m(arc BD) + m(arc CD) + m(arc BC) = 360°
102° + m(arc CD) + 146° = 360°
m(arc CD) = 360° - (102° + 146°)
= 112°
Therefore, measure of arc CD is 112°.
Answer:
Step-by-step explanation:
Given
Let
Therefore,