Answer:
Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.
Step-by-step explanation:
Answer:
1989xsquared y + 585xsquared+ 2618xy + 770x - 8075y - 2375
Step-by-step explanation:
(9x + 25) x (13x - 19) x (17y + 5)
(117x squared - 171x + 325x - 475) x (17y + 5)
(117x squared + 154x - 475) x (17y + 5)
Answer:
look below.
Step-by-step explanation:
When there's a letter, it represents a variable. You need to find the value (number) of this variable. This can be done by trying to isolate (put it by itself) the variable. So now, here is how to do it:
1) -2j + 6 = 2j - 8
-2j - 2j = - 8 - 6
-4j/4 = -14/4
j = 14/4
j = 7/2
2) 4h + 6 = 2h - 8
4h - 2h = - 8 - 6
2h/2 = - 14/2
h = -7
3) 9w + 9 = 3w - 15
9w - 3w = - 15 - 9
6w/6 = -24/6
w = -4
4) 45 = -9(e + 8)
45 = -9e - 72
45 + 72 = -9e
117/-9 = e
e = -13
5) 35 = -7t
35/-7 = t
t = -5
6) 12k + 13 = 8k + 33
12k - 8k = 33 - 13
4k/4 = 20/4
k = 5
A 10-foot ladder leans against a wall. It hits the wall 9 feet up. How far is the base of the ladder from the wall? Apply the Pythagorean Theorem to this problem
triangle
side S1 = 9 feet
hypotenuse H = 10 feet
side S2 - X = ?
the Pythagorean Theorem
H x H = S1 x S1 + S2 x S2 = S1 x S1 + X x X
X x X = H x H - S1 x S1 = 10 x 10 - 9 x 9 = 100 - 91 = 9
X x X = 9
X = 3
How far is the base of the ladder from the wall? 3 feet
check:
H x H = S1 x S1 + X x X
10 x 10 = 9 x 9 + 3 x 3
100 = 91 +9 = 100
