To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar
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:
he can cut 60 strips or ribbon
Step-by-step explanation:
The dressmaker has 720 inches of ribbon
from each roll of ribbon, he can make 6 12-inch pieces or ribbon
she has 10 rolls
so 6(strips per roll) x 10(amount of rolls) = 60 strips :)
Answer: 
, where n = 1,2,3,4,.....
Step-by-step explanation:
The given sequence : 1, 8, 27, 64, ….
We observe that the terms are perfect cubes of consecutive integers (starting from 1) .
Terms can be written as:
First term = 
Second term=
Third term = 
Fourth term =
Thus , for any nth term ,the formula for the sequence is : , where n = 1,2,3,4,.....
If you're simplifying, it would be 16z+10 squared.
