Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Answer:
- The means for both data sets are equal.
- The range of the number of pages Lionel read is greater than the range of the number of pages Aaron read.
- The range of the number of pages that Lionel read is 75.
Step-by-step explanation:
Given
Lionel
90, 45, 30, 25, 15
Aaron
55, 19, 40, 16, 75
in the first case; For Lionel;
Mean = (90+45+30+25+15
)/5 = 41 and
Range = (90-15)=75
The second case; Aaron
Mean = (55+19+40+16+75)/5 = 41 and
Range = (75-16)= 59
Therefore;
Both data sets have the same mean but different range.
The range of the number of pages Lionel is 75, which is greater than the range of the number of pages Aaron read, which is 59.
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation 
is zero
<u>Solution:</u>
For a Quadratic Equation of form : 
---- eqn 1
The solution is 
Now , the given Quadratic Equation is ---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In , 
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation
Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Answer:
I'm not good at math but you can add me on Instagram npw.angela
Step-by-step explanation:
i need new friends
Answer:
She added 83, instead of subtracting it.
In the second step it shows she adds it. Which is incorrect.
The correct answer is 27
