According to the vertical angle theorem when two lines intersects each other, the vertical angles that are formed are congruent to each other.
So, angle XWY is 74 degrees.
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You have to use the Pythagorean theorem but there is a little twist here since a square has has equal sides. So:
x^2+x^2=8
2x^2=8
2/2x^2=8/2
x^2=4
√x^2=√4
x=2
The side of the square is 2.
So now the area of a square is:
Side×Side
2×2=4
The area of the square is 4 centimetres
Answer:
Number n increased by 18 = n +18
Number is 2 less than 5 times n= 5n -2
They are same => n +18 = 5n -2
Option B
[ n + 18 = 5n -2
18 +2 =5n - n
20 = 4n
n = 5
Lets check 5+18 = 5*5 - 2
23 = 23]
Answer:
after 7th day the temperature changes - 8.4 degrees.
Step-by-step explanation:
Each day, the temperature changes - 1.2 degrees. Then
- after 1st day the temperature changes - 1.2 degrees;
- after 2nd day the temperature changes - 2.4 degrees;
- after 3rd day the temperature changes - 3.6 degrees;
- after 4th day the temperature changes - 4.8 degrees;
- after 5th day the temperature changes - 6 degrees;
- after 6th day the temperature changes - 7.2 degrees;
- after 7th day the temperature changes - 8.4 degrees.
Answer:
13.57 kg
Step-by-step explanation:
Let the amount of salt in a tank be =
= 
= 0.3 kg/L
The concentration of salt coming into the tank = 0.333kg/L
We know that the concentration of salt leaving the tank should be:
amount of salt in the tank/volume of tank = y(t)/50 L
rate of change of salt = rate in - rate out
= 0.66 - 
solving the differential equation gives :
ln y = 0.66/y (t) - 0.02 t + C
Initial conditions, t= 0; y (0) = 15
then ln 15 = C
ln y = 
t - 0.02t + ln 15
ln
= 0.02t
y = 15e( exp -0.02t)
the amount of salt in 5 mins will be:
y (t) = 15e(exp -0.02 (5)
= 13.57 kg
