Answer:
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
Pick a corresponding side on DEF
The scale factor is then calculated as:
i.e. ABC was dilated by 1/2
Answer:
The answer to your question is There were sold 166 adult tickets and 294
children tickets.
Step-by-step explanation:
Data
Total number of seats = 460
cost for adults = a = $52
cost for children = c = $26
Total cost = $16276
Process
1.- Write equations to solve this problem
a + c = 460 Equation l
52a + 26c = 16276 Equation ll
2.- Solve the system of equation by substitution.
-Solve equation l for a
a = 460 - c
-Substitute a in equation ll
52(460 - c) + 26c = 16276
-Expand
23920 - 52c + 26c = 16276
-Simplify
-26c = 16276 - 23920
-26c = -7644
c= -7644/-26
c = 294
3.- Find a
a = 460 - 294
a = 166
The projectile has constant horizontal speed all the time and we can use this formula
x=Vax*t, where t is time it (projectile) takes to reach x=1000m
t=x/Vax=1000/50=20s
As we know we can split projectile trajectory in two parts and the time for each part is equal. We can conclude that time t=20s belong to first part where projectile is going up.
Formula for this type of movement is y=Vay-(gt∧2)/2
If we take acceleration of gravity g=10m/s∧2
we get y=200*20-(10*20∧2)/2=4000-2000=2000m
But if I calculate time it takes the highest point I get
t=Vay/g=200/10=20s
The highest point for that time is
y= H=Vay∧2/2g=200∧2/2*10=40000/20=2000m
This happened because the projecile is fired from the edge of a cliff which is above the sea line.
Good luck!!!
Answer:
$5093.37
Step-by-step explanation:
To get Rebecca's available credit we need to take all of her payments and purchases and previous balance.
Previous balance = $398.64
Purchases = $1,257.99
Payment = $250
Credit Line = $6,500
Now first we add together her purchases and previous balance.
398.64 + 1,257.99
This will give us:
$1,656.63 Total deductions.
Now we subtract that to her credit line.
$6500.00 - $1656.63
$4843.37
Now we take her payment and add it to her credit line.
$4843.37 + $250
$5093.37
So Rebecca's available credit is $5093.37.
Answer:
56.52 in
Step-by-step explanation:
Circumference Formula: C = 2πr
Since we are given radius <em>r</em> = 9, simply plug it into the formula:
C = 2π(9)
C = 18π
C = 56.5487
