Answer:
3 h(x) = 4 sin(2x + π) + 3
Step-by-step explanation:
Answer:
83x + 4
Step-by-step explanation:
9x^2 + 4 -x^2 + 3x
80x + 4 + 3x
83x + 4
Volume= area of base x height
base= 3.14 x 4^2(8/2=4 for the radius)
base=50.24
base x height=50.24 x 23=1155.52, or 1156 ft3
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
Answer:
it is 10395
Step-by-step explanation:
231
*45=10395