Answer:

Step-by-step explanation:
Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.
The area for a whole circle is
.
Using that information, we can find the area as if the circle was whole instead of just the fourth.

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

That means that the area of the shape shown is
.
I hope this helps!
Answer:
a. x = 2 , x = -5
b. no real roots
Step-by-step explanation:
<u>a. x² + 3x – 10</u>
= x² - 2x + 5x - 10
= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)
= (x - 2) (x + 5)
x - 2 = 0 x + 5 = 0
+ 2 +2 -5 -5
-------------- ---------------
x = 2 x = -5
x = 2 , x = -5
<u>b. 2x² - 4x + 3 </u>
This can't be solved because the equation has no real roots, and also the discriminant is negative.
This does not appear to make sense, could you perhaps add signs such as multiplication, division, etc.
Answer:

Step-by-step explanation:
Area of the Rectangular Carpet=12*5=60m²
Area of the Square rug=2*2=4m²
Expressing the area of the rug as a fraction of the total area of the carpet, we have:
.
The fraction of the carpet that is covered by the rug is
.