Answer:
40
Step-by-step explanation:
Put 4 where x is and evaluate.
... f(4) = 3·4² -2·4
... f(4) = 3·16 - 8
... f(4) = 48 - 8 = 40
36 + x = 2(11 + x)
36+x=22+2x
14=x
John will be twice Jimmy's age in 14 years.
Alternate way:
Keep writing their ages for every year until John is twice Jimmy's age.
In the beginning: John is 36 years old, Jimmy is 11 years old.
As the years pass...
After 1 years: (John, 37), (Jimmy, 12)
After 2 years: (John, 38), (Jimmy, 13)
After 3 years: (John, 39), (Jimmy, 14)
After 4 years: (John, 40), (Jimmy, 15)
After 5 years: (John, 41), (Jimmy, 16)
After 6 years: (John, 42), (Jimmy, 17)
After 7 years: (John, 43), (Jimmy, 18)
After 8 years: (John, 44), (Jimmy, 19)
After 9 years: (John, 45), (Jimmy, 20)
After 10 years: (John, 46), (Jimmy, 21)
After 11 years: (John, 47), (Jimmy, 22)
After 12 years: (John, 48), (Jimmy, 23)
After 13 years: (John, 49), (Jimmy, 24)
After 14 years: (John, 50), (Jimmy, 25)
Answer:
The answer is C.
Step-by-step explanation:
Angle D and angle C are vertical angles. Vertical angles are congruent.
Congruent means they equal each other.
<D = <C
72 = 72
Answer:
All represent the three sides of the triangle.
Step-by-step explanation:
The question seeks to test your knowledge of the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation of any 2 sides of a triangle must be greater than the measure of the third side.
Note: This rule must be satisfied for all 3 conditions of the sides.
The answer is all can represent the three sides of the triangle.
Options (6 cm, 22 cm, 10 cm), (7 cm, 25 cm, 11 cm), (9 cm, 22 cm, 11 cm) and (10 cm, 14 cm, 23 cm) satisfies the Triangle Inequality Theorem and all represent the three sides of the triangle.
Answer:
The radius of the sphere is 7m
Step-by-step explanation:
Given
Volume of a sphere = 1372π/3 m³
Required
The radius.
The volume of a sphere is calculated using the following formula.
V = 4/3 πr³
Where V = volume of the sphere and r represents it's radius.
By substitution;
1372π/3 = 4/3 πr³
Multiply both sides by 3
1372π = 4πr³
Divide through by 4
343π = πr³
Divide through by π
343 = r³
Take cube root of both sides.
r = 7.
Hence, the radius of the sphere is 7m