Answer: PN= 20 in.
Step-by-step explanation:
Given: In triangles PMN and QSR :
Length of P N ≅ Length of RQ (1) [ '≅' → Sign of congruence]
Length of QS ≅ Length of PM
Length of MN ≅ Length of RS
By SSS congruence rule
ΔPMN ≅ ΔQSR
Since Length of QR =20 in. [Given]
From (1)
Length of PN= 20 in. [Congruent means exactly equal]
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =
/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7
/6
360-3=330 = 11
/6
Answer:
B. 2
Step-by-step explanation:
0.5(m+4) = 3(m-1)
0.5m + 2 = 3m - 3
0.5(2) + 2 = 3(2) -3
1 + 2 = 6 - 3
3 = 3
So, m = 2
Hope this helps
-Amelia
Answer:
2.50c + 2.50m
Step-by-step explanation:
The value of 1000 represent the initial population of bacteria in the study and the difference of 1200 and 1000 mean difference between the initial populations in the studies.
<h3>What are exponential Function ?</h3>
Exponential functions are are written as y(x) = abˣ
Here
a is the initial population
b is the rate of growth or decrease
x is the time taken
The Given exponential function is
From the standard equation of Exponential function
(a) a = 1200 and 1000 is the initial population of the bacteria
(b)The difference of 1200 and 1000 means the difference between the initial populations in the studies
To know more about Exponential Function
brainly.com/question/11487261
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