Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500
Answer:
55
Step-by-step explanation:
Add the numbers 5 + 8 and you get 13. Multiply 13 x 2 which is 26. Add 33 + 26 and you get 59. Then, subtract it by 4 and you get 55.
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus

Therefore, the total cost on a $55 item is given by

</span>
Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) = 
tan (∠s) = 
Set them equal to each other to get:
= 
Solve:

Part B:
Using tan (∠s) = 
We get:
meters
Hope that helps!
Answer:
Step-by-step explanation:
1) 2x + y =7 -------------(I)
x - y = 2 -----------(II)
2x + y = 7
<u> x - y = 2 </u> {Now add both the equations. 'y will be cancelled}
3x = 9
x = 9/3
x = 3
Plugin x = 3 in equation (I)
2*3 + y = 7
6+ y = 7
y = 7 - 6 = 1
Answer: a) y = 1
2) Prime factorize 12 , 15 and 18
12 = 2 * 2 * 3
15 = 3 * 5
18 = 2 * 3 * 3
HCF = 3
e) 3