The following information will help us with this problem:
![\sqrt[m]{x^n} = x^{\frac{n}{m}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5En%7D%20%3D%20x%5E%7B%5Cfrac%7Bn%7D%7Bm%7D)
When we use that information in the context of this problem, we can find:
![\sqrt[4]{15^7} = 15^{\frac{7}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B15%5E7%7D%20%3D%2015%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D)
Thus, a = 15, b = 7, and c = 4.
Answer:
15 inches
Step-by-step explanation:
Volume of a squre based pyramid :
V = a²(h/3)
a = base edge ; h = height
h =1/2 a
V = 4500
4500 = a² * (1/2a) ÷ 3
4500 = a² * a/2 * 1/3
4500 = a³/2 * 1/3
4500 = a³ / 6
27000 = a³
27000 = a³
Take the cube root of both sides
(27000)⅓ = a
30 = a
Recall:
h = 1/2a
h = 1/2(30)
h = 15 inches
M∠P = 12°
m∠Q = 90° [A tangent line to a circle is perpendicular to the radius drawn to the tangent point]
m∠O = 90 - 12 = 78°
Answer: x=78°
Answer:
c. both
Step-by-step explanation:
Answer:
If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.
Step-by-step explanation:
For example:
One value: 7 + x= 10 => x= 3
All real numbers: 0x=0 => x can be all real numbers
No solutions: 7x=6x => no solutions
