Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.
We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm
This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm
tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm
WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm
Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
Hello from MrBillDoesMath!
Answer:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216
7^3 = 343
8^3 = 512
9^3 = 729
10^3 = 1000
Thank you,
MrB
Answer:
(x, y) = ( 1/2, -3 )
Step-by-step explanation:
y = -3
3/2 - 1 - x + y = - 3
3/2 - 1 - x - 3 = - 3
x = 1/2
solution : (x , y ) = ( 1/2, -3)
here we are gonna see why is that answer :
-3 = 3/2 -1 - 1/2 - 3 = -3
-3 = -3 = -3
i hope this helps
Answer:
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
Step-by-step explanation:
Let the amount of the 25% orange juice be "x", while the amount of the 10% one be "y". The sum of these must be equal to 15 l, therefore:
The sum of the concentration of juice on each can must be equal to the final product, therefore:
We can now solve the system of equations as shown below:
There should be 10 l of 25% orange juice and 5 l of 10% orange juice.
Answer:
(2,5)
Step-by-step explanation:
it's (2,5) just to let you now
