Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140
D. 28
this is because 48 divided by 12 is 4, 4 times 7 is 28.
Answer:
180 cm²
Step-by-step explanation:
From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.
Area of a square = x² (where x is the length of one side)
⇒ area of the square = 6² = 36 cm²
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²
Total surface area = 4 x area of one triangle + area of the square
= 4 x 36 + 36
= 144 + 36
= 180 cm²
Step-by-step explanation:
204+272/14=34 years old
<u>The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.</u>
Answer:
<em>x = 10</em>
Step-by-step explanation:
<u>Internal Angles of a Triangle</u>
The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:
48 - x + 9x - 38 + 90 = 180
Simplifying:
100 + 8x = 180
Subtracting 100:
8x = 180 - 100 = 80
x = 80/8
x = 10
