Answer:
For the first one: 435 Players
The second one: 1475 inches of snow
Step-by-step explanation:
First one:
There are 12 players per team and 3 reserve players on each of the 29 teams. Using this information to find the answer with the distributive property you can make an expression like this
29(12+3)
First you simplify what's inside of the parenthesis
29(15)
And now you distribute
435 <-- The maximum amount of players in the NBA
Second one:
There was an average of 295 inches of snowfall each year in Utah Olympic Park. To find the average amount of snowfall there would be in 5 years you can make an expression like this
5(295)
Here you can just multiply and get this
1475 <-- total amount of snow in inches over a 5 year period
Step-by-step explanation:
Geometric Sequence formula for general term:
an = a1(r^n-1)
a1 = 4 × (-5)^1-1
a1 = 4
r = -5
Summation formula for geometric sequence :
Sn = a1 ( 1 - r^n / 1 - r )
...<em>take n from the top of the summation.</em>
= 4 ( 1 -(-5)^6 / 1 -(-5)
= -10416.
Answer:
d = 1/2
Step-by-step explanation:
5/6 = 1/3 + d
~Find common denominators
5/6 = 2/6 + d
~Subtract 2/6 to both sides
3/6 = d
~Simplify
1/2 = d
Best of Luck!
Answer:
The distance from hot air balloon to the ground
.
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is
°.
When she stepped back
then angle of elevation was
°.
Height of Angie is
.
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie 
In triangle Δ
,
⇒ 
⇒
....................(1)
Now, In triangle Δ
⇒ 
⇒ 
Here, substituting the value
from Equation (1) we get,


⇒
⇒ 
⇒
Now, finding the value of
from equation (1)

Therefore Length of
= 
.
Hence,
The distance from hot air balloon to the ground
.