She walks 22/7 km in 5/4 hrs, so she walks (22/7)/(5/4) km, or 88/35 (2_18/35) km, in 1 hr.
Step-by-step explanation:
amount left for the money to reach $40
=40-3.75
=36.25
using a method of proportion,
If $4 : 1 hour,then
$36.25 : ?
if more, less divides.
= 36.25 / 4 ×1
=36.25/4
=9.0625 approximately 9 hours
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
Answer:
For 30 years at 5% = $354,625.2
For 20 years at 4.5% = $278,618.4
Step-by-step explanation:
The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).
1) For 30 years at 5%
Total number of months in 30 years = 30 x 12 = 360 months
Payback = $985.07 x 360 = $354,625.2
2) For 20 years at 4.5%
Total number of months in 20 years = 20 x 12 = 240 months
Payback = $1160.91 x 240 = $278,618.4
Answer: 21 square units
Step-by-step explanation:
We know that the area of parallelogram is given by:-
Let US denote the height of the Parallelogram RSTU with corresponding base ST.
By counting the distance between the points using grids or by distance formula,
US=
ST=
Now, the area of parallelogram RSTU is given by:-
