Answer:
A = (100 - y)y
Maximum area = 2500 sq. feet.
Step-by-step explanation:
Let the length of the combined rectangular area is y feet and the shared width is x feet.
So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}
⇒ 2y = 200 - 3x
⇒ ...... (1).
a) Now, area of the total plot in sq. feet is ........ (2)
So, this is the expression for area A in terms of length of shared side x.
b) For area to be maximum the condition is
Now, differentiating equation (2) on both sides with respect to x we get
⇒ x = 33.33 feet.
So, from equation (1) we get
⇒ x = 50 feet.
So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)
Answer:
$57
Step-by-step explanation:
76 x 25% (0.25) = 19
76 - 19 = 57
Answer:
Step-by-step explanation:
Given
Required
Determine k if the expression is a perfect square
A quadratic is of the form;
Where (by comparison):
If the above is a perfect square, then
Substitute values for a, b and c
<em>Hence, k = 4</em>
Answer:
1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.
19.625/ 2.5 * 10/10 = 196.25/25
Hope this helps plz hit the crown ;D
Answer:
D. 224 inches
Step-by-step explanation:
Length of the new rectangle after dilation = 22 × ⁷/2 = 77 inches
Width of the new rectangle after dilation = 10 × ⁷/2 = 35 inches
Perimeter of rectangle = 2(length + width)
= 2(77 + 35)
= 2(112)
Perimeter = 224 inches