Answer:
The sum of 12 terms of AP = -318
Step-by-step explanation:
Points to remember
Sum of n terms of an AP
Sₙ = n/2[ 2a + (n - 1)d]
Where n - number of terms
a - first term
d - common difference
<u>To find the sum of 12 terms</u>
The given AP is 1, -4, -9, -14, . . .
a = 1, d= -5 and n = 12
Sₙ = n/2[ 2a + (n - 1)d]
= 12/2[2*1 + (12 - 1)*(-5)]
= 6[2 + (11*(-5))]
= 6[2 - 55]
= 6 * (-53)
= -318
The sum of 12 terms of AP = -318
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area

In which r is the radius.
Volume:

The circumference of the ball is 9.4 inches.
So the radius is:


Surface area

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
Answer:
s< -7/11
Step-by-step explanation:
Answer:
C.
is greater than zero.
Step-by-step explanation:
We know that graph is obtained from the function of the form
. According to the graph and if
, we find that:
(1)
(2)
By (1) and (2):


Hence, correct answer is C.
Answer:

Step-by-step explanation:
To work out x is easy as they are corresponding angles x will also equal 50
however to work out y you just need to minus 180 and 50 to give 130
