Answer:
6 square inches
Step-by-step explanation:
The formula for area of a triangle is:
1/2(b*h)
Therfore;
b=4, h=3
So,
1/2(4*3)
1/2(12)
=1/2 * 12
= 6 square inches
Answer:
x=6
Step-by-step explanation:
6(2x -11) 15 =21
6 × 2x = 12x
6 × -11 = -66
12x -66 + 15 = 21
-66 + 15 = -51
12x -51 = 21
-51 + 51 = 0
21 + 51 = 72
12x = 72
12x ÷ 2 = 0
72 ÷ 12 = 6
x = 6
Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
Answer:
True
Step-by-step explanation:
Parallel lines go straight on forever and ever without intersection
