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Darya [45]
3 years ago
15

How do we figure this out

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

Pair 1: 10 cm and 2 cm. and the sum is 12 cm.

Pair 2: 20 cm and 4 cm. and the sum is 24 cm.

Step-by-step explanation:

Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.

Pair 1:

For the first rectangle W = 4 cm and A = 40 sq, cm

Then L = \frac{A}{W} = \frac{40}{4} = 10 cm.

For the second rectangle W = 4 cm and A = 8 sq, cm

Then L = \frac{A}{W} = \frac{8}{4} = 2 cm.

Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)

Pair 2:

For the first rectangle W = 4 cm and A = 80 sq, cm

Then L = \frac{A}{W} = \frac{80}{4} = 20 cm.

For the second rectangle W = 4 cm and A = 16 sq, cm

Then L = \frac{A}{W} = \frac{16}{4} = 4 cm.

Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)

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lutik1710 [3]

Answer:

the Largest shed dimension is 13.5 ft by 13.5 ft

Largest Area is 182.25 ft²

Step-by-step explanation:

Given that;

Perimeter = 54 ft

P = 2( L + B ) = 54ft

L + B = 54/2

L + B = 27 ft

B = 27 - L ------------Let this be equation 1

Area A = L × B

from equ 1, B = 27 - L

Area A = L × ( 27 - L)

A = 27L - L²

for Maxima or Minima

dA/dL = 0

27 - 2L = 0

27 = 2L

L = 13.5 ft

Now, d²A/dL² = -2 < 0

That is, area is maximum at L = 13.5 using second derivative test

B = 27 - L

we substitute vale of L

B = 27 - 13.5 = 13.5 ft

Therefore the Largest shed dimension = 13.5 ft by 13.5 ft

Largest Area = 13.5 × 13.5 = 182.25 ft²

7 0
3 years ago
Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 m
deff fn [24]
60 miles per hour. In two miles the sum of the distance the two trains traveled was 200 miles, you divide that by 2, the sum of the speed of the two trains is 100 miles per hour, now put the speed of the slow train as  x and the fast as x +20, the sum of x and x +20 is 100, so 2x + 20 =100, you subtract 20 from both sides, 2x = 80, divide by 2, x = 40, the problem asks for the speed of the fast train, so, x + 20 is 60.
6 0
3 years ago
Read 2 more answers
Expand and simplify (x+5)(x-2)
lukranit [14]

Answer:

x² + 3x - 10

Step-by-step explanation:

Each factor in the second factor is multiplied by each term in the first factor, that is

x(x - 2) + 5(x - 2) ← distribute each parenthesis

= x² - 2x + 5x - 10 ← collect like terms

= x² + 3x - 10

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3 years ago
Please help me answer this question i am having trouble
melamori03 [73]

Answer:

2684

Step-by-step explanation:

flower bed - diameter: 20 meters

sidewalk: width: 3 meters

Total diameter: 23

Total radius: 16.5

Area Equation:

16.5 x 3.14 ^2

51.81 ^2

= 2684.2761

~ 2684

6 0
3 years ago
If about 25 babies are born every 5 seconds then how many babies are born in a minute, a hour, and a day?
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5 = 25b
60 seconds / 5 = 12.
12 * 25 = 300.
300 babies / min
hr ? 300b * 60 min = 1800. 
1800 babies/ hr.
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