Solution
Part A
The general form of the n-th term = a + (n-1)d
Here we are given the 8th term A8 = 28
, common difference (d) = 6
A8 = a + (n - 1) 6
28 = a + (8- 1)6
28 = a + 7*6
28 = a + 42
a = 28 - 42
a = -14
Part B
n-th term is 760. a = -14 and d = 6.
Plugging in the values in the general form, we get
760 = -14 + (n -1)6
760 = -14 + 6n - 6
760 = -20 + 6n
6n = 760 + 20
6n = 780
Dividing both sides by 6, we get
n = 780/6 = 130
The value of n is 130
The answer to your question is 10:10:20 because it doubles from the 2 people.
p = 32
Solution:
Given p represents the amount of air pressure in a tire.
t represents the time it takes for the tire to go flat and t = –8.
To find the value of p, if .
⇒
Substitute t = –8 in the above equation.
⇒
Do cross multiply, we get
⇒ p = (–8) × (– 4)
⇒ p = 32
Hence, the value of p is 32 if the quotient is –4.
∠GBE = y (alternate angles)
∠DBG + ∠GBE = 180 (Adjacent angles on a straight line adds up to 180)
⇒ x + y = 180
∠DBG = ∠ABE (Vertially opposite angles)
⇒ x = 5y - 18
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Solve for x and y :
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x + y = 180 -------- (1)
x = 5y - 18 --------- (2)
Sub (2) into (1) :
5y - 18 + y = 180
6x = 198
x = 33 --------- Sub into (1)
x + y = 180
33 + y = 180
y = 147
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Answer: x = 33°, y = 147°
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When there are two chords intersecting inside of a circle, there are four angles that are formed from this intersection. At the intersection, there are two sets of congruent vertical angles formed.
Angle Formed by Two Chords = 1/2(Sum of the Intercepted Arcs)
m<JPM = 1/2 (114 + 96) = 1/2 (210) = 105
Answer:
A ) 105