Answer:
21. 162 (rounded to nearest thousandth)
Step-by-step explanation:
Area of a sector: (degree/360) (pi*radius^2)
degree given= 97
radius= diameter/2 = 5
(97/360) (pi*5^2)
(97/360) (pi*25) = 21.16211718
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>
You can do this by finding a number close to it, and then finding out how to do it.
For example with 63(square root sign), find out what is close to it.
7x7=49 while 8x8=64
Because of this, we now know that it is between 7 and 8 but is also really close to 8.
Our number could be 7.9
Hope this helped!!!
Answer:
4(x+5)
Step-by-step explanation:
Answer:
1. x = 30
2. x = 39
Step-by-step explanation:
1.
4x and ( 3x + 30 ) are alternate exterior angles,
Alternate exterior angles are equal.
4x = 3x + 30
4x - 3x = 30
x = 30
2.
x and ( 3x + 24 ) are co - interior angles.
Sum of co - interior angles is 180,
x + 3x + 24 = 180
4x + 24 = 180
4x = 180 - 24
4x = 156
x = 156 / 4
x = 39