Answer:
(x+1)^2 + (y+1)^2 = 49
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -1)^2 + (y- -1)^2 = 7^2
Simplifying
(x+1)^2 + (y+1)^2 = 49
Answer:
64.87° = 65°{ to the nearest degree}
Step-by-step explanation:
From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.
Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram
A = ? ( The angle of elevation of Aisha towards the balloon)
C = 55°
From Sine rule
It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.
This is expressed mathematically as;
Sin A/ a= SinB/ b= SinC/c
We take the pairs of relevance;
Sin A/ a = SinC/c
There SinA = SinC/c × a
=Sin55/95 × 105
= 0.9053
A = Sin^(-1)[0.9053]
A = 64.87° = 65°{ to the nearest degree}
To find the value of X, simply know that for this parallelogram, the angles on each end that are diagonal with respect to each other are the same. And knowing that the angles in a parallelogram add up to equal 360 degrees. Simply make an algebraic expression equal to the value of 360 and then solve for x.
X + X + (X - 26) + (X - 26) = 360
2X + X - 26 + X - 26 = 360
4X - 52 = 360
4x = 412
X = 103.
The value for X, I believe would be 103 degrees. You can verify this by plugging in the value into both expressions, X and X-26 and see that if adding all the expressions together does it equal 360 degrees.
Answer:
Step-by-step explanation:
From the information given:
For Adult Men
Mean 
= 69.5
Standard deviation 
= 2.4
observed value X = 74
For Adult Women
Mean = 63.8
Standard deviation = 2.6
observed value X = 70
Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex
For Adult Men :
z = 1.875
For Adult Women :
z = 2.3846
Thus; we can conclude that , the women is more unusually tall within his or her respective sex
Answer:
0.5
Step-by-step explanation:
