Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
here a₁ = 5 and r = =
= - 3 , then
a₈ = 5 × = 5 × - 2187 = - 10935
Solve the following system of equations by the substitution method. 8x = 2y + 5 3x = y + 7 What is the solution set?
1 answer:
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The school can expect to raise 1500p for charity.
<u>Explanation:</u>
(a)
The possibility space is solved in the image attached.
(b)
20p for each player
30p for lollipop
Number of people = 120
Charity amount = ?
Out of 12 outcomes, the probability of getting 7 is 3
So, probability of getting 7 for 120 people =
= 30
Money earned from the players = 20p X 120
= 2400p
Cost of 30 lollipops = 30p X 30
= 900p
Money received for charity = 2400p - 900p
= 1500p
Therefore, the school can expect to raise 1500p for charity.
Answer:
The distance of the foot of the ladder to the building is 14 ft.
Step-by-step explanation:
The length of ladder = 20 ft
Angle formed by ladder with level ground, θ = 46
We are required to find out the distance of the foot of the ladder from the building
The above question can be found out by using trigonometric relations as follows;
The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building
The hypotenuse side is the length of the ladder = 20 ft
Therefore;
Adjacent side of triangle = Hypotenuse × cosθ
∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ
Distance of the foot of the ladder from the building = 20 ft × cos(56)
Distance of the foot of the ladder from the building = 13.893 ft
To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.