Answer:
P = (13h+k+6m) cm
Step-by-step explanation:
Given that,
The side lengths of a triangle are :
(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm
We need to find the perimeter of the triangle.
We know that,
Perimeter = sum of all sides
So,
P = (4h + 2k)+(9h + 4m)+(2m - k)
= (4h+9h)+(2k-k)+(4m+2m)
= 13h+k+6m
Hence, the perimeter of the triangle is (13h+k+6m) cm.
Please clarify your question
My work for your question
Answer:
Step-by-step explanation:
SOH CAH TOA to help remember how the trig functions fit on the triangle
use SOH since we know the angle and the hypotenuse and want to find the opposite side
Sin(x)= Opp/ Hyp
Hyp* sin(38) = Opp
12* 0.6156614753 = Opp
7.3879377...
7.4 is the answer
Answer:
$4,000 is invested at 3%
Amount $2000 is invested at 2%.
Step-by-step explanation:
Here, the given total Principal Amount = $6000
Let us assume the amount M is invested at 3%
Let us amuse the amount is invested for 1 year.
So, the remaining amount ( $6000 - M) is invested at the rate 2%.
Now, SIMPLE INTEREST = 
CASE 1: when Amount M is invested
Simple Interest =
= 
or, SI = 0.03 M
CASE 2: when Amount ( $6000 - M) is invested
Simple Interest =
= 
or, SI = (120 - 0.02 M)
Now, total simple interest received = $160.
⇒ 0.03 M + (120 - 0.02 M) = 160
⇒ 0.03 M + 120 - 0.02 M = 160
or, 0.01 M = 40
⇒ M = 40 / 0.01 = 4,000
or, M = 4,000
Hence, $4,000 is invested at 3%
and the amount (6000 - 4000) = $2000 is invested at 2%.