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Amanda [17]
3 years ago
7

the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the

width of the rectangle in yards

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0
The area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 (54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
 Clearing w we have:
 w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
 Rewriting:
 w = (9 * x ^ 6y ^ 4)
 Answer:
 
the length of the rectangle is:
 
w = (9 * x ^ 6y ^ 4)
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Dafna1 [17]

Answer:

The answer to your question is 50 inches

Step-by-step explanation:

Data

Area = 200 in²

diagonal 1 = 8 in

diagonal 2 = ?

Formula

Area = (diagonal 1 x diagonal 2) / 2

Solve for diagonal 2

diagonal 2 = 2 x Area 2 / diagonal 1

-Substitution

diagonal 2 = 2 x 200 / 8

-Simplification

diagonal 2 = 400 / 8

-Result

diagonal 2 = 50 in

5 0
3 years ago
HELP
Dimas [21]

Answer:

$17.14

Step-by-step explanation:

Given : y = - 0.34x^2 + 4.43x + 3.46

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

y = - 0.34x^2 + 4.43x + 3.46

Where y is profit and x is year

Substitute x = 8

y = -0.34(8)^2 + 4.43(8) + 3.46

y =17.14

So, Option D is true

Hence the predicted profit in year 8 is $17.14

5 0
3 years ago
Read 2 more answers
Point O is the center of the circle in the diagram. What is m∠BCA ?
netineya [11]
The sum of angle around a point equal 360°
so (BOA) = 360-250=110°
and the sum of angle in the shape CAOB = 360°
so BCA = 360-(110+90+90)= 70°
THE ANSWER IS C.70°
7 0
3 years ago
Questions 150
gayaneshka [121]

Answer:

D 112

Step-by-step explanation:

bc i know

3 0
3 years ago
A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
3 years ago
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