Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
- Draw a line from E to the center of the circle.
- Label the center of the circle O
- OE and OF are both radii.
- They form the central angle of the ArcEF
Solution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
<u> -116 -116 </u> Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
Step-by-step explanation:
Given
Volume of box
Suppose base square has a length
and vertical walls has length of
volume
Cost of bottom material per square meter
Cost of side material per square meter
Total cost
y = - x + 3
the equation of a line in slope-intercept form is
y = mx +c ( where m is the slope and c the y-intercept )
rearrange x + 4y = 12 into this form
subtract x from both sides
4y = - x + 12 ( divide all terms by 4 )
y = - x + 3 ← in slope-intercept form
Since PQ = QR = RS,
Let's set PQ equal to RS
2x + 3 = x + 10
Subtract x and 3 from both sides.
x = 7
PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17
Since PQ = QR = RS,
QR = 17