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Volgvan
3 years ago
5

the door frame has measurements of 3 feet by 8 feet. What is the length of the largest table that can be brought in the house on

a diagonal? someone please help me out !!!!!
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

8 ft. I’m not really sure though sorry

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A number divided by three less two is at most two
Marina CMI [18]

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : $\frac{x}{3}

A number divided by three less two : $\frac{x}{3}-2

A number divided by three less two is at most two : $\frac{x}{3}-2\leq 2

Now, simplify the inequality,

$\Rightarrow\frac{x}{3}-2\leq 2

Add 2 on both sides of the inequality,

$\Rightarrow\frac{x}{3}-2+2\leq 2+2

$\Rightarrow\frac{x}{3}\leq 4

Multiply by 3 on both sides of the equation,

$\Rightarrow\frac{x}{3}\times3\leq 4\times3

$\Rightarrow x\leq 12

Hence x ≤ 12.

5 0
3 years ago
Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0
2 years ago
Solve for A in the equation AB + CD + EFG = Z.
Semenov [28]

Answer:

A =  (Z-CD - EFG)/B

Step-by-step explanation:

AB + CD + EFG = Z.

Subtract CD and EFG from each side

AB + CD + EFG-CD -EFG = Z-CD - EFG

AB  = Z-CD - EFG

Divide each side by B

AB /B = (Z-CD - EFG)/B

A =  (Z-CD - EFG)/B

7 0
3 years ago
Need help with this question
ElenaW [278]

Answer: its 432cm=m cubed

Step-by-step explanation:

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3 0
3 years ago
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3. What is the area of the shape shown below?
Monica [59]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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