Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
step 1 multiply each side by x
now we have 
step 2 divide each side by cos(37)
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Answer:
The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as
* (morality of solution)
and 
are the freezing points of the pure solvent (water, 0°C) and
= freezing point depression constant of water. Therefore,
*(0.859 m)
=====> (0°C) – (3.00°C) = 
=====> -3.00°C =
Ignore the negative sign (since is positive) and get
= (3.00°C) / (0.859 m) = 3.492°C/m
The freezing point depression constant of the solvent is 3.5°C kg/mole
3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).
1/2 x base x height
1/2 x 6 x 8 = 24 (a)
Answer:
The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis.
A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0,3).
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4).
Step-by-step explanation:
The sequence is defined as
an = 3an - 1 + 7
This means that
a2 = 3(a(2 - 1) + 7
a2 = 3a1 + 7
From the information given ,
a1 = - 4
Thus,
a2 = 3 * - 4 + 7 = - 12 + 7
a2 = - 5
a3 = 3(a(3 - 1) + 7
a3 = 3a2 + 7
a3 = 3 * - 5 + 7 = - 15 + 7
a3 = - 8
a4 = 3(a(4 - 1) + 7
a4 = 3a3 + 7
a4 = 3 * - 8 + 7 = - 24 + 7
a4 = - 17
Thus, the first four terms of the sequence are
- 4, - 5, -
