Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.
The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.
One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle
Total number of integers = 5
median
= (5+1)/2 th observation
= 3 rd observation
therefore the 3rd number = 13
now let the other number be x
total sum = 1+3+13+x+22 = 39+x
ATQ
(39+x)/5 = 16
39+x = 80
x = 41
the numbers are -
1,3,13,22,41
The value of the missing number to complete the linear equation are 31 and -10 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here the given tables shows the coordinates of the linear equation and to find the equation we consider any two points let suppose the those two points be (0,-10) and (1,21).
Now using slope formula to find the slope of line m :
m = (y₂-y₁)/ (x₂-x₁)
m = (21-(-10))/(1-0)
m = 31
Let us first find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-(-10)) = 31(x-0)
(y+10) = 31x
y = 31x - 10
Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.
check and know more about slope of line here :
brainly.com/question/14914699
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Answer:
1/12, 1/10
Step-by-step explanation:
P(Bead bracelet and red shoes) - 3/3 x 2 x 2
3/12=1/4 for bead bracelet
Red shoes - 1/3
Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12
P(Elastic bracelet and black shoes)
2/3 x 2 x 2
2/12=1/6 for elastic bracelet
Black shoes - 3/5
Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10
Hope I helped!
