Answer:
17.9°
Step-by-step explanation:
From trigonometry:
Opposite = 14
Adjacent = x
theta = 38°
hence;
tan theta = opposite/ adjacent
tan38° = 14/x
x = 14/tan38°
x = 17.9°
Answer:
a. Yes, it will float in oil since it is less dense than oil.
b. No, it won't float in oil since it is more dense than the oil itself.
c. Yes, it will float in water since, the water is more dense than the object itself.
The relationship between x and y is represent as:
Since, the relationship is linear.
The standard form of equation of line is:

Consider any two set x and y values from the given relationship.
Let (-2, 10) and (-1,7.5)


The equation of the linear relationship between x and y is:
y = -2.5(x + 2) + 10
Now, to check that the point (9, -17.5) lies on the represented relationship between x and y
Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10
y = -2.5(x + 2) + 10
-17.5 = -2.5(9 + 2) + 10
-17.5 = -2.5(11) + 10
-17.5 = -27.5 + 10
-17.5 = -17.5
Thus, LHS = RHS
Hence the point (9, -17.5) lie on the given linear relationship between x and y.
Answer: The point (9, -17.5) lie on the given linear relationship between x and y.
Answer:
a) θ =
b) r = 31.27 inch
Step-by-step explanation:
(a)
area of sector:
* r² * θ
384 =
* r² * θ
384 =
* (24)² * θ
θ = 384/288
θ = 
(b)
384 =
* r² * 
r² = 384 * 2 * 
r² = 977.848
r = √977.848
r = 31.27 inch
Given that 1 pint is equal to 437 ml
and 1000 ml=1 liter
then
1 pint =(437/1000) liters
simplifying we get:
1 pint= 0.437 liters
thus amount of pints in 4 liters will be:
4/0.473
=8.45666586
~8.5 pints