Given:
In the given triangle,
With respect to y, Perpendicular = 10 cm and Base = 8 cm
To find the value of y.
Formula
By Trigonometric Ratio we get,
Now,
Putting the values of perpendicular and base we get,
or, 
or, 
Rounding off to the nearest tenth, we have;
Hence,
The value of y is 51.3°.
To find the volume of a sphere, we can apply the following formula:
(4
/3)πr^3
We know the radius is 10, so we can plug that value in.
(4/3) * pi * 10^3
<h3>V = 4188.79020479in^3</h3>
The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.
Answer:
b or c
Step-by-step explanation:
Answer:
a) 
b) 
Step-by-step explanation:
Given Data:
Interest rate=
per year
No. of years=
Rate of continuous money flow is given by the function
a) to find the present value of money
Put f(t)=2000 and n=10 years and r=0.08
Now integrate
(b) to find the accumulated amount of money at t=10
Where P is the present worth already calculated in part a
Let's begin by evaluating f(x) using the value of 3: f(x) = 2x2 - 4x - 4 (original function) f(3) = 2(3)2 - 4(3) - 4 (plugging in 3 for x) f(3) = 2 (computed result) Now let's evaluate g(x) using the value of 3: g(x) = 4x - 7 (original function) g(x) = 4(3) - 7 (plugging in 3 for x) g(x) = 5 (computed result) Finally, we'll sum our results: (f + g)(3) = 2 + 3 (add f(3) and g(3)) <span>(f + g)(3) = 5 (final answer)</span>
