Sin (x) = 12/13 this is because sine is opposite divided by hypotenuse.
cos (x) = 5/13 this is because cosine is adjacent divided by hypotenuse.
tan (x) = 12/5 this is because tangent is opposite divided by adjacent.
Answer:
181 feets
Step-by-step explanation:
Given that:
Rate of change in water level = - 1.5 feets per month
Water level at beginning of May = 187 feets above sea level
Water level at the end of 4 months =?
Total change after four months = rate of change per month * number of months
= - 1.5 * 4 = - 6 feets
Hence water level after 4 months :
187 feets + (-6 feets)
187 feets - 6 feets
= 181 feets
X^2 - 6x = 20
x^2 - 6x + 9 = 20 + 9
(x - 3)^2 = 29
x - 3 = (+-) sqrt 29
x = 3 (+-) sqrt 29
x = 3 (+-) 5.39
x = 3 + 5.39 = 8.39 <=
x = 3 - 5.39 = - 2.39 <=
Answer:
Given the size of rectangular plate in advertisement = 5 cm by 3cm.
Given the condition for length should be = 0.25 of 5 cm
Step-by-step explanation:
Now, have to write the inequality from the given data.
Therefore, 5- 0.25 ≤ L ≤ 5+.25
4.75 ≤ L ≤ 5.25
We know that the area of a rectangle = Length × Width.
Width = 3
Thus, the area is 3 × L
3× (4.75) ≤ 3×L ≤3× (5.25)
14.25 ≤ 3×L ≤ 15.75
So the minimum area is 14.25 cm^2
The maximum area is 15.75 cm^2
Answer:
x=-12,y=3
Step-by-step explanation:
1/2x+6y=12
y=x+15
since y=x+15
substitute y in first equation, we have
1/2x+6(x+15)=12
open the bracket
1/2x+6x+90=12
1/2x+6x=12-90
x/2+6x= -78
13x/2=-78
13x=2×-78
x=-12
Now x=-12, put x=-12 in the second equation, we have
y=x+15
y=-12+15
y=3
hope it helps