Answer:
15in
Step-by-step explanation:
Area=width x length
Width=375/25 = 15in
Answer:
The value of x is 
Step-by-step explanation:
we know that
Applying the tangent-secant theorem

substitute the values and solve for x



using a graphing tool
to solve the quadratic equation
The solution is 
see the attached figure
Answer:
32.7°
Step-by-step explanation:
Use the formula for law of cosines, for this question we need so solve for angle B, so use...
b² = a² + c² - 2(a)(c)Cos B
We are given a, b, and c, so plug them in...
55² = 90² + 50² - 2(90)(50)Cos B
Now simplify...
3,025 = 8100 + 2500 - (9000)Cos B
-7,575 = -(9000)Cos B (subtract 8100 and 2500 from both sides)
0.841666667 = Cos B (divide both sides by -9000)
Cos^(-1) 0.841666667 = B (use cosine inverse function on calculator)
32.68346376° = B
32.7° = B
Answer:

Step-by-step explanation:
To find the number of kilograms of mercury we need to find how to relate density, mass and, volume. For this we shall recall the density formula:

where
is the density,
is the mass and,
is the volume.
We have the density and want to compute the mass so now we want to know the volume of the pool.
The volume of a rectangular pool is given by the fomula:
.
So for our pool
.
.
Our density is in
, so the last thing we need to do before computing the mass is to express the density in
(this is because we want our mass in
and, we have our volume in
).
For the density conversion we have to remember that



so
.
With this we can finally compute mass:



.
Since there are two minus signs, this equation becomes "5+6" which equals 11.