If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.
<h3>What is the law of
cosines and sines?</h3>
The law of cosines can be used to determine the measures of the triangle if the angles are known. The law is given by:
a² = b² + c² - 2bc*cosA
a,b,c are the sides and A, B, C are the angles.
The law of sines are used to determine the measures of the triangle if the angles are known. The law is given by:
a/sinA = b/sinB = c/sinC
If the angles of measures of angles X, Y, and Z are neither law of sine and cosine can be used to solve the triangle.
Find out more on cosines and sines at: brainly.com/question/25830682
Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
<h3>Newton's law of cooling</h3>
According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
Learn more about newtons law of cooling: brainly.com/question/14643865:
There are 2 types of line that you can mark the center of a two-way road.
1) passing permitted - it is a broken line marking found in the center of the two-way road. It means that passing other cars is permitted.
2) no passing zones and edge line - it is composed of a combination of solid yellow line, single broken-yellow line, double solid yellow line. It means overtaking or passing is never permitted.
If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.
In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:
P(X)=q^(x-1)p
Where p is the probability of success and q is (1-p)
In this case,
p=probability of children deficient in vitamin= 0.2
q= probability of children not deficient in vitamin= 0.8
Hence,
P(8)=0.8^(8-1)*0.2= 0.0419
Hence, the probability that 8th child is deficient is 4.19%
Learn more about geometric distribution:
brainly.com/question/14957440
#SPJ4
Answer:
B yes, because every x value corresponds to exactly one y value
Step-by-step explanation:
A function means that each input goes to a different output
Each input goes to only 1 y value
