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Licemer1 [7]
3 years ago
12

The area of a door is 3024 square inches. If

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

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Ruth contributes 18% of the total cost of her individual health care. This is $67.50
ololo11 [35]

Answer:

9000

Step-by-step explanation:

67.50 x 2 x 12 = 1620 (deduction for the whole yr)

1620 / 18 x 100 = 9000

8 0
3 years ago
Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?
OlgaM077 [116]

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

8

- 4

5

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

40

- 32

40

= 35 - 32

40

= 3

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

40

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

6 0
3 years ago
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost o
Gelneren [198K]

Answer:

a is the answer

Step-by-step explanation:

4 0
2 years ago
The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of a bridge is 1270 ft long and
deff fn [24]

Answer:

Step-by-step explanation:

Given

span of bridge L=1270\ ft

height of span h=157\ ft

Equation of Parabola

y=0.00039x^2

|x| i.e.

-635

\frac{dy}{dx}=2\times 0.00039

length of Arc=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}

=\int_{-635}^{635}\sqrt{1+(\frac{dy}{dx})^2}

=\int_{-635}^{635}\sqrt{1+(0.00078x)^2}

=2\times \int_{0}^{635}\sqrt{1+(0.00078x)^2}

=2\times (660.08)

=1320.16\ ft

4 0
3 years ago
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar
Lunna [17]

Answer:

Step-by-step explanation

Goodbye

6 0
3 years ago
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