P=2(L+W)
A=LW
given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W
sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero
W-19=0
W=19
W-12=0
W=12
sub back
L=31-W
L=31-12
L=19
or
L=31-19
L=12
the doorway is 12in by 19in
Answer:
5/6 because 1/2 plus 1/3 is 5/6, meaning that B is the correct answer.
Hope this helps!
Answer:
20.4131
Step-by-step explanation:
You need to have only 4 decimal places after , last decimal being approximated
Answer:
Option.B
Step-by-step explanation:
Its because if you add these two angles you get a supplementary angle or 180°
Using this we can form an equation to find the value of x.
(Hope this answer helps :))
(And is this question from Khan Academy?)
Answer:
Rs 328
Step-by-step explanation:
Find the <u>principal</u> amount invested.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = Rs 320
- r = 5% = 0.05
- t = 2 years
Substitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
<u>Compound Interest Formula</u>

where:
- I = interest earned
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = 3200
- r = 5% = 0.05
- n = 1 (annually)
- t = 2 years
Substitute the given values into the formula and solve for I:





Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.