Answer:
Step-by-step explanation:
![\text{Geometric mean:}\\\\\underbrace{\sqrt[n]{a_1\cdot a_2\cdot a_3\cdot...\cdot a_n}}_n\\\\\sqrt{7\cdot9}=\sqrt{9}\cdot\sqty7=3\sqrt7](https://tex.z-dn.net/?f=%5Ctext%7BGeometric%20mean%3A%7D%5C%5C%5C%5C%5Cunderbrace%7B%5Csqrt%5Bn%5D%7Ba_1%5Ccdot%20a_2%5Ccdot%20a_3%5Ccdot...%5Ccdot%20a_n%7D%7D_n%5C%5C%5C%5C%5Csqrt%7B7%5Ccdot9%7D%3D%5Csqrt%7B9%7D%5Ccdot%5Csqty7%3D3%5Csqrt7)
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
Answer:
C. x < –1
Step-by-step explanation:
What is the solution of x + 6 < 5?
A. x < 11
B. x > 11
C. x < –1
D. x > –1
-1+6<5
but you need less than 5 so
x<-1
Answer:
Geometric mean: 6.8399037867068
Step-by-step explanation:
Pythagoren theorem states that a²+b²=c². If A is 8.5 and B is 11, you'd get
193.25=c²
Square root both sides to find out that the diagonal is 13.901 inches long
