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brilliants [131]
3 years ago
6

A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.

Mathematics
2 answers:
FrozenT [24]3 years ago
5 0

Answer:

The width is 3 ft

The length is  12 ft

Step-by-step explanation:

Let w = width

l = 4w

A = l*w

Replace length with 4w

A = 4w*w

36 = 4 w^2

Divide each side by 4

36/4 = 4w^2/4

9 = w^2

Take the square root of each side

sqrt(9) = sqrt(w)

3 =w

The width is 3 ft

The length is 4*3 = 12 ft

12345 [234]3 years ago
3 0
The width is 3,then the length is 4x3=12
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where an investmenVicky Robb is considering purchasing the common stock of Hawaii Industries, a rapidly growing boat manufacture
azamat

Answer:

 

Step-by-step explanation:

present value of dividend for three years =

2.50 x 1.2 / 1.15 + 2.5 x 1.2² / 1.15² + 2.5 x 1.2³ / 1.15³

= 2.6087 + 2.722 + 2.84

= 8.17

present value of future cash flow after three years

= 2.5 x 1.2³ x 1.08 / .15 - .08

66.65

present value

= 66.65 / 1.15³ = 43.823

Total present value = 43.823 + 8.17

= 52 approx .

8 0
3 years ago
Help on this please
eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

\frac{-7}{2(1)} =\frac{-7}{2}

Vertex:

y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

y= 0^{2} +7(0) -8\\\\y= -8\\

5 0
3 years ago
A set of equations is given below:
Tasya [4]

Answer:

The number of solutions to the given set of equations is 0.

Step-by-step explanation:

Number of solutions of a system of equations:

System of equations: ax = b

If a = 0 and b = 0, infinite solutions.

If a = 0 and b != 0, zero solutions.

If a != 0 and b != 0, one solution.

We are given the following system of equations:

y = 7x + 12

y = 7x + 2

So

7x + 12 = 7x + 2

7x - 7x = 2 - 12

0x = -10

a = 0, b != 0, so zero solutions.

The number of solutions to the given set of equations is 0.

6 0
3 years ago
a box of cereal states that there in 93 calories in 1/4 cup serving. What is the unit for calories per cup? How many calories ar
kvv77 [185]

Answer:

Step-by-step explanation:

4 0
3 years ago
For the equation 3x - 5y = -3, what is the value ofy when x is 1?<br> 6/5<br> -6/5<br> 5/6
Law Incorporation [45]

Answer:

y = 6/5

Step-by-step explanation:

3x - 5y = -3

Let x =1

3(1) - 5y = -3

3-5y = -3

Subtract 3 from each side

3-3-5y = -3-3

-5y = -6

Divide each side by -5

-5y/-5 = -6/-5

y = 6/5

8 0
3 years ago
Read 2 more answers
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