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
Answer: A) is the right answer. 
Step-by-step explanation:
Given product : 
To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.
![2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}](https://tex.z-dn.net/?f=2.3%5Ctimes3%5Ctimes10%5E%7B-3%7D%5Ctimes10%5E8%5C%5C%3D%282.3%5Ctimes3%29%5Ctimes%2810%5E%7B-3%7D%5Ctimes10%5E8%29%5C%5C%3D6.9%5Ctimes10%5E%7B-3%2B8%7D......%5B%5Ctext%7Bby%20law%20of%20exponents%20%7Da%5En%5Ccdot%5C%20a%5Em%3Da%5E%7Bm%2Bn%7D%5D%5C%5C%3D6.9%5Ctimes10%5E%7B5%7D)
Thus, the answer is
.
The LCM of 10 and 14 is 2.
Answer:
7x - 5 = 11
Step-by-step explanation:
To solve for x, substitute y = -5 into the equation 7x + y = 11.
This becomes 7x + (-5) = 11 or 7x - 5 = 11.