Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Answer:
£4.50
Step-by-step explanation:
She is at the car park for 2 hours and 30 minutes.
It would be £4.50 because 2 hours and 30 minutes is between 2-4 hours.
It can't be £3.00 because it would be too little time (2 hours or less) and it wouldn't be £5.50 because she would be paying for more time than she was there for (5 hours or more).
Hope this helps :)
Answer:
The alphabet
Step-by-step explanation:
c or a
Answer:
<em>Refer to attached for the diagram. </em>
<u>Here is the answers</u>
- 1. Square
- 2. Rectangle
- 3. Rhombus
- 4. Parallelogram
- 5. Isosceles Trapezoid
- 6. Trapezoid
- 7. Kite
Answer:
option (A)
central angle = 0.375 rad
Step-by-step explanation:
Given in the question,
radius of the circle = 8 inches
arc of the circle = 3 inches
To find,
measure of a central angle
Central angles are subtended by an arc between those two points.
Formula to use:
<h3> s = (r) (θ)</h3>
<em>where r = radius </em>
<em> s = arc length </em>
<em> θ = angle in radians</em>
<em />
Plug in the values in the equation
<h3>3 = (8) (θ)</h3><h3>θ = 3/8 </h3><h3>0.375 rad</h3>
