Answer:
m<R=44.9,m<S=56.9,m<T=44.9,m<U= 32.9.
Step-by-step explanation:
When two chords are equal then the measure of the arcs are equal.
Chord RU= Chord UT
Or , m arc RU= m arc UT,
3z-4=x+2z+7 Or z=x+11
Chord RS=Chord ST ,
m arc RS=m arc ST=3x+5
Sum of m arc in a circle =360 degrees.
Or ,
3x+5+3x+5+3z-4+x+2z+7=360
7x+5z+13=360
Substituting z=x+11
7x+5(x+11)+13=360
7x+5x+55+13=360
12x+68=360
12x=292,x=24.3
z=x+11=11+24.3=34.3
m arc RU=marc UT= 3z-4=3(24.3)-4=69
m arc RS =marc ST= 3x+5=3(24..3)+5=77.9
m<R= (marc UT+ m arc ST)÷2
m<R=(69+77.9)÷2=73.45
m<S= (m arc RU+m arc UT)÷2
m<S= (69+69)÷2=69
m<T=(m arc RU+m arc RS)÷2=73.45
m<U=(m arc RS+m arc m arc ST)÷2=77.9
3cm x 4ft. your answer should be wrote in fr
Answer:
The rate of decrease is 8%
Step-by-step explanation:
we know that
The general equation for the radioactive decay can be written as:
where
a is the amount in kilograms after time t.
a_0 is the original amount of the substance or y-intercept of the function
r is the decay rate, written in decimals.
t is the time
In this problem we have
so
solve for r
Convert to percentage
Answer:
$3,722.875
Step-by-step explanation:
It was stated that the $61,500 would be payed to Tim annually, therefore before we can calculate the deductions we would first have to divide the annual pay by 12 (months in a year). You would then find that Tim receives $5,125 each month. The total value of the deductions would be 21.7% ( 6.2 + 1.5 + 3 + 11 = 21.7). 21.7% of 5,125 is 1,112.125 therefore, we would subtract this value and the value for the insurance from his monthly pay to find his net paycheck per month [5,125 - (1,112.125 + 290) = $3,722.875]
