Answer:
Let the Width(W) =X feet
then Length(L) = (2X-3)feet
Area of the rectangle (A)=77 square feet
A = L× W
L×W=A
(2X-3) × X = 77
2X²- 3X =77
2X²-3X -77=0
Solving it using the factorization method
2X²-14X+11X-77=0
(2X²-14X)+(11X-77)=0
2X(X-7) + 11(X-7)=0
(2X+11)(X-7) =0
When 2X+11=0
X= -11/2
When X-7=0
X = 7
Therefore X= 7
Width = X feet
= 7feet
The width is 7feet
Length = (2X-3)feet
= (2×7) -3)feet
=(14-3)feet
=11feet
Answer:
the answer is 28 if you multiply if not 30
Given:
2 3/4 cups of tomatoes.
Number of cups of tomatoes written as a fraction greater than one.
2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.
To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.
Improper fraction is a fraction whose numerator is greater than its denominator.
2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4
11/4 is a fraction greater than one.
4/4 is a fraction that is equal to one. So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.
Plug in 10/3
9(10/3)-19= 3(10/3)+1
30-19= 10+1
11=11
That is the solution.
I hope this helps!
~kaikers
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
