Answer:
Option B is correct.
Step-by-step explanation:
Given: RSTU is a parallelogram.
By definition of parallelogram, two pairs of opposite sides are congruent in length.
⇒ and
In triangle RST and triangle TUR
[Side]
[Side]
[Common side]
SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.
then, by SSS postulates we have;
use this method when you do? - 14a + 200b + 16h = 1712
The answer is 486.6
There are 8,760 hours in a year, so 18 divided by 8,760 would = 486.6
Answer:
The greatest number is 18.
Step-by-step explanation:
consecutive: following one after the other
48 ÷ 3 = 16
16 would be the middle number
14 : 16 : 18
14 = smallest number
16 = middle number
18 = biggest number
14 + 16 + 18 = 48
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²