Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
Hello :
<span> sin 2x = sin x and 0 ≤ x ≤ 2π.
all solutions :
2x= x +2k</span>π or x= π -x +2kπ ..... k in : Z
x = 2kπ or : x = π/2 + kπ
but :
<span>0 ≤ x ≤ 2π
</span><span>all values of x such that sin 2x = sin x and 0 ≤ x ≤ 2π are :
</span>k = 0 : x=0 , x= π/2
k=1 : x=2 π , x=3π/2
the first simple interest will be $1.73 more than the second one.
<h3>
Which is the difference between the two interests?</h3>
The loan is of $575, and there are two options:
7 years at 4.5% or 8 years at 3.9%
Remember that the simple interest formula is:
SI = (P*R*T)/100
Where:
P = principal value.
R = rate (this is the percentage per year)
T = time, in years.
Then for the first option. the interest will be:
SI = ($575*4.5*7)/100 = $181.13
For the second option we will have the interest:
SI' =( $575*3.9*8)/100 = $179.4
The difference is:
$181.13 - $179.4 = $1.73
This means that the first simple interest will be $1.73 more than the second one.
If you want to learn more about simple interests:
brainly.com/question/20690803
#SPJ1
Answer:
Step-by-step explanation:
Part A: You can only use Pythagorean's Theorem on a right triangle.
Part B: The side across from the right angle is the hypotenuse. It has a length of 15.
Part C: To find the missing side using Pythagorean's Theorem:
and
and
and
a = 10.20
