Answer:
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
Sixth term
T6 = a+(6-1)d
T6 = a+5d
Third term;
T3 = a+(3-1)d
T3 = a+2d
If the sixth term of an AP is twice the 3rd term, then
a+5d = 2(a+2d)
a+5d = 2a+4d
Given a = 3
3+5d = 2(3)+4d
5d-4d = 6-3
d = 3
Common difference is 3
For the 10th term
T10 = a+9d
T10 = 3+9(3)
T10 = 3+27
T10 = 30
Hence the tenth term is 30
<em>Substitute x = 2 as we get</em>
<em>f(2) = -4(2)+4 = -8+4 = -4</em>
<em>Therefore, f(2) = -4</em>
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet
This is an equilateral triangle of height a√3/2 where a is the side length. So the area is ½a.a√3/2=a²√3/4.
So a²=25 and a=5cm. Therefore the perimeter is 3a=15cm.
Answer:
1190
Step-by-step explanation:
