Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.
Answer:
B
Step-by-step explanation:
cosA = = =
cosC = =
sinC = = =
tanC = = =
Then
cosA = sinC → B
Answer:
3(x+4)−x>4
(3x+3·4)−x>4
(3x+12)−x>4
3x+12−x>4
3x−x+12>4
2x+12>4
(2x+12)+(−12)>4+(−12)
2x+12−12>4−12
2x>−8
2x
2>−
8
2
x>−
23
2
x>−(23−1)
x>−(22)
x>−4
x ∈ (−4,∞)
Step-by-step explanation:
Any one of these
Answer:
.125
Step-by-step explanation:
The volume of a cube is found by
V = s^3 where s is the side length
V = .5 ^3
V =.125 m^3
Answer:
Step-by-step explanation: