We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.
We know that area of rectangle is width times length.
To find the area of the given rectangle we will multiply both side lengths as:
![\text{Area of rectangle}=\text{Width}\times \text{Length}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Ctext%7BWidth%7D%5Ctimes%20%5Ctext%7BLength%7D)
![\text{Area of rectangle}=\frac{3}{4}\text{ yard}\times\frac{5}{6}\text{ yard}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Cfrac%7B3%7D%7B4%7D%5Ctext%7B%20yard%7D%5Ctimes%5Cfrac%7B5%7D%7B6%7D%5Ctext%7B%20yard%7D)
![\text{Area of rectangle}=\frac{3}{4}\times\frac{5}{6}\text{ yard}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Cfrac%7B3%7D%7B4%7D%5Ctimes%5Cfrac%7B5%7D%7B6%7D%5Ctext%7B%20yard%7D%5E2)
![\text{Area of rectangle}=\frac{1}{4}\times\frac{5}{2}\text{ yard}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%5Cfrac%7B5%7D%7B2%7D%5Ctext%7B%20yard%7D%5E2)
![\text{Area of rectangle}=\frac{1\times5}{4\times2}\text{ yard}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Cfrac%7B1%5Ctimes5%7D%7B4%5Ctimes2%7D%5Ctext%7B%20yard%7D%5E2)
![\text{Area of rectangle}=\frac{5}{8}\text{ yard}^2](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%3D%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20yard%7D%5E2)
Therefore, the area of the given rectangle would be
square yards.
Calculate volumes
v=lwh
vinitial=6*5*5=150
vnew=6*15*15=1350
new/initial=1350/150=9
9 times
The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.
<h3>What do a polynomial's leading term and leading coefficient mean?</h3>
- The term with the highest power of x is the leading term in a polynomial.
- As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.
We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).
Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)
Substituting f(x) = 100 and x = 5,
100 = c(4)(6)(3)
100 = c72
c= 1.38
Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.
Learn more about polynomial here:
brainly.com/question/2833285
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Answer:
positive
Step-by-step explanation:
A positive slope means the value on the line increases going from left to right.
A negative slope means to value decreases from left to right.
A slope of zero means the value does not change at all, just a horizontal line.
An undefined slope is a vertical line.
Answer:
0.39 grams lol easy
Step-by-step explanation: