Answer:
8
Step-by-step explanation:
Total length of the fabric is 
We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.
Let she needs x scarves. So, ATQ

Hence, she can make 8 scarves.
Answer:
Relative error = 0.0254 %
Step-by-step explanation:
Given details
Height of equipment from base is 104 ft
Elevation angle is 27.5 degree
From figure we have
.........1

x = 54.13 ft
differentiating 1st eq wrt x
![\frac{d}{dx} tan\theta = \frac{d}{dx} [\frac{x}{104}]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20tan%5Ctheta%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5B%5Cfrac%7Bx%7D%7B104%7D%5D)

Taken
for minute change


from 



Reltaive error

Relative error = 0.0254 %
Answer:
Step-by-step explanation:
Congruent triangles:
We can prove AZ ≅ BX using A S A congruent.
Statement Reason
∠X ≅ ∠Z Given
XY ≅ ZY Given
∠Y ≅ ∠Y Reflexive property
ΔXYB ≅ ΔZYA Angle Side Angle congruent
AZ ≅ BX CPCT {Corresponding Parts of Congruent Triangle}
Hence proved
Answer:
42
Step-by-step explanation:
14(3)
Remember that the equation of a circle is:

Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

Complete the square. We must do this for x² - 6x and y² - 10y separately.
x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9
Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.
y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

Factor y² - 10y + 25 to get (y - 5)²

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)
Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.