A^2 + b^2 = c^2
20^2 = 400
52^2 = 2704
400 + b^2 = 2704
2704 - 400 = 2304
So you need the square root of 2304 which is 48 so the length of the other leg is 48 ft.
Answer:
m = -1/3
Step-by-step explanation:
Find two points in order to calculate slope:
Slope (m) =
ΔY /ΔX= -1/ 3= -0.33333333333333
- ( ΔX = 3 – 0 = 3
- ΔY = 1 – 2 = -1 )
Slope intercept:
y = -0.33333333333333x + 2
okay im not sure but maybe try to find a number that can be = to 18 and that might be y
Answer:
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Up to and after 45 minutes, the barrel is empty of water.
Step-by-step explanation:
#2.)
minutes: 5, 10, 15, 20
water(gal): 16, 14, 12, 10
Find slope: slope m = (14 - 16)/(10 - 5) = -2/5
y - 10 = (-2/5)*(x - 20)
y - 10 = (-2/5)* x + 8
y = (-2/5)*x + 18
rate of change slope means that for every minute 2/5 gallons of water is lost
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
We have to find the perimeter of the triangle KLM.
We have been given that the length of the side LM=12,
, and 
Refer the attached image.
In a triangle sum of three angles should be
.
So,

Plugging the values of angle K and angle M, we get:

So,

Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.
Using the sine law for the triangle KLM, we get:

Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:

Now using,

We get the value of 'y'

So the length of the side KM is 13.38 units.
Now using,

We get the value of 'x'

So the length of the side KL is 9.79 units.
Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.
The perimeter of the triangle KLM
units