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Gekata [30.6K]
3 years ago
11

the perimeter of a rectangle is 58cm. the length is 7cm less than three times the width. find the length and width. (translate t

o a system of equations and solve)
Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

length = 20 cm

width = 9 cm

Step-by-step explanation:

perimeter =  58 cm

58cm = 2*L+2*w equation 1

L = 3w -7 equation 2

where:

L= length

w=width

so we have:

58 = 2(3w -7) +2w

58 = 6w -14 +2w

58 +14 = 8w

72 = 8w

w = 72/8

w = 9 cm = width

we have:

L = 3(9) -7 = 20 cm = length

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artcher [175]
Cotx = Cosx/sinx

1/Cotx = sinx/cosx

Sinx + cosx *1/cotx = sinx + cosx * sinx/cosx = 2sinx

6 0
3 years ago
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
tekilochka [14]

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

<u>1/4</u> = <u> x </u>

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

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5 0
3 years ago
Solve Expression <br><br> 12(3+5x)+1/4(16x-8)
Lynna [10]

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

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Next, multiply the numbers. You will then have:

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Now, rearrange the numbers. The variables go in the front. This is what it should look like:

60x + 4x + 36 - 2

Add 60x and 4x, then subtract 36 and 2. This is your answer:

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4 0
3 years ago
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
forsale [732]

Answer:

The answer would be A

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Im stuck on this question, plz help
denis-greek [22]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

40 metres covered in 6 seconds

Max speed attained after 6seconds

75 meters covered after 11 seconds

Average Speed for first 40 meters :

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Speed = 40m / 6s

Speed = 6.67m/s

To obtain the maximum speed :

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Speed at this point is maximum :

Hence, maximum speed = (35m / 5s) = 7m/s

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Distance from starting line 6+z seconds after race started?

Distance after 6 seconds = 40 metres

Distance after z seconds = 7 * z

Total distance = (40 + 7z)

What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?

Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))

40 + 7(x - 6)

3 0
3 years ago
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