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Zepler [3.9K]
3 years ago
15

What has a foot on each end and in the middle

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
Is it a yardstick? It has 2 ft of the edges and one ft in the middle.
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A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
3 years ago
Find the equation of the line that passes through the point (3,14) and is parallel to the following line y = 2/3x + 4
katrin [286]

Answer:

Either d or b and b looks like it works hte best

Step-by-step explanation:

4 0
3 years ago
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A radio station will announce the winner of a contest when 3,200 callers have phoned the station. At 3:00 p.m. 400 callers were
arsen [322]
???????????????????????????
5 0
3 years ago
What is solution to this system of equations? x + 4y = 12 and x = 0<br>PLSSS hurry​
Margaret [11]

Answer:

x=0 and y=3

Step-by-step explanation:

If x=0, then we can just plug that value into the other equation and solve for y:

x+4y=12

0+4y=12

4y=12

y=3

Therefore, the solution to the system of equations is x=0 and y=3

3 0
3 years ago
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Find the length of the hypotenuse. The measure of the hypotenuse?
Eduardwww [97]

Answer:

Since it's a right angled triangle

Hypotenuse = h

h² = 7²+24²

h= √49 + 576

h = √625

h= 25

Therefore hypotenuse is 25

Hope this helps.

8 0
3 years ago
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