Answer:
a) 45° b) 90°
Step-by-step explanation:
squares have 90 degree angles and half of that is 45
12 hundreds+8 tens+7 ones =
12*100 + 8*10 + 7*1 =
1200 + 80 + 7 =
1287 ← answer
Answer:
0.9
Step-by-step explanation:
First, convert them all into fractions:
Now, we have:
Cross multiply:
On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:
Let the length be l.
Formula of perimeter is P= 2(length +width )
1313 =2 (l+w)
l = \frac{1313}{2}-w
And the formula of area of rectangle = length times width .
A = l*w
A= (\frac{1313}{2}-w )*w
A = \frac{1313w}{2} -w^2
And that's the required objective function .
The equation represents parabola and a parabola is maximum at its vertex .
And the formula of vertex is
w = -\frac{b}{2a} =-\frac{1313}{4}
Substituting this value of w in the formula of area, we will get
A= \frac{1313*1313}{8} -(\frac{1313}{4})^2
Area= \frac{1723969}{16}=107748 \ square \ units .
