Answer:
see below
Step-by-step explanation:
3 ^ ( 6/5)
The base a is 3
The power is 6 which is b
the root is 5 which is c
![\sqrt[5]{3^6}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B3%5E6%7D)
Answer:
x = 11 units
Step-by-step explanation:
Area of triangle = (base + base 2) * h *1/2
so (7 + x )* 7 * 1/2 = 63
63 x 2 = 126
126 / 7 = 18
18-7 = x
x = 11
Check
(7+11)* 7 * 1/2
18* 7 = 126
126 x 0.5 = 63
CORRECT!
(p.s., tell me if wrong :P)
Answer:
5.83 blocks away from his home
Step-by-step explanation:
If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.
The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G
G^2 = 5^2 + 3^2
G^2 = 25 + 9
= 34
G = √34
=5.83
John is 5.83 blocks away from his home
Answer:
12πx⁴, 15x⁷, 16x⁹
Step-by-step explanation:
Volume of a cylinder: πr²h
Volume of a rectangular prism: whl
Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π
3x²·(2x)² = 3·2·2·x·x·x·x
= 12·x⁴
=12x⁴
Now, we just multiply that by π.
12x⁴·π = 12x⁴π
A monomial is a 1-term polynomial, so 12x⁴π is a monomial.
Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²
5x³·3x² = 5·3·x·x·x·x·x
= 15·x⁵
= 15x⁵
Now, we just multiply that by x².
15x⁵·x²
= 15·x·x·x·x·x·x·x
= 15·x⁷
=15x⁷
A monomial is a 1-term polynomial, so 15x⁷ is a monomial.
Same steps for the last shape, another rectangular prism:
2x²·2x³·4x⁴
2x²·2x³
= 2·2·x·x·x·x·x
= 4·x⁵
= 4x⁵
Now, we just multiply that by 4x⁴.
4x⁵·4x⁴
= 4·4·x·x·x·x·x·x·x·x·x·
= 16·x⁹
= 16x⁹
A monomial is a 1-term polynomial, so 16x⁹ is a monomial.
Answer:
The correct choice is A
Step-by-step explanation:
the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A
