Answer:
b ≈ 9.5, c ≈ 14.7
Step-by-step explanation:
Using the Sine rule in Δ ABC, that is
= 
, substitute values
= 
( cross- multiply )
b × sin23° = 7 × sin32° ( divide both sides by sin23° )
b = 
≈ 9.5 ( to the nearest tenth )
Also
= 
= 
( cross- multiply )
c × sin23° = 7 × sin125° ( divide both sides by sin23° )
c = 
≈ 14.7 ( to the nearest tenth )
Answer:
x = 5 or x = 1
Step-by-step explanation:
x² - 6x + 7 = 0
x² - 6x = -7
x² - 6x + 9 = -7 + 9 1/2 of the x term than square it and add it the both sides.
(x - 3)(x - 3) = 2
( x -3)² = 2
= 
(x - 3) = ± 2
x - 3 = 2 or x - 3 = -2
x = 5 or x = 1
The domain and the range for the relations are given as follows:
- 13. Domain x ∈ R, range y ∈ R.
- 14. Domain {x ∈ Z| -4 ≤ x ≤ 4 and x is even} , range y ∈ {y ∈ Z| -1 ≤ y ≤ 4}.
- 15. Domain {x ∈ Z| -4 ≤ x ≤ 1} , range y ∈ {y ∈ Z| -4 ≤ y ≤ 1}.
- 16. Domain x ∈ R, range y ∈ R.
<h3>What are the domain and range of a function?</h3>
- The domain of a function is the set that contains all possible input values. Hence, in a graph, the domain is given by the values of x.
- The range of a function is the set that contains all possible output values. Hence, in a graph, the domain is given by the values of y.
For items 13 and 16, the functions are continuous, hence it is over the real numbers, and both the domain and range are all real values.
For items 14 and 15, the functions are discrete, hence it is over the integer numbers, and the domain is composed by the values assumed by x and the range is composed by the values assumed by y.
More can be learned about domain and range at brainly.com/question/10197594
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Answer:
The solution is 8=r
Step-by-step explanation:
When the question states, "What is the distance from the edge of the dart board to the exact center of the bullseye (to the nearest inch)," it is basically asking to find the radius rounded to the nearest whole number given the circumference quantity.
Thus, we need to substitute the numbers already given into the radius equation.
53.3=2 x 3.14 x r
Now, divide both sides by 3.14.
16.97=2r
Again, use division property of equality and divide both sides of the equation by 2.
8.4=r ... then rounding to the nearest inch... 8=r
All things said, the solution is 8=r
I hope this helped!!
~Penny
Answer:
36
Step-by-step explanation:
7n-3y
if n= 6 and y = 2
7(6)-3(2) = 42-6 = 36
