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3 years ago

14

The perimeter of a square varies directly with the length of one side. what is an equation that relates the perimeter p and leng

th l of the side

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

P=KL where K is the constant of variation

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3(x-4) = 2(-2x + 1)<br>this is confusing me

nata0808 [166]

Answer:

x = 2

Step-by-step explanation:

<em>Distribute</em>

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

<em>Distrubute again</em>

3x - 12 = -4x + 2

<em>Add twelve to both sides of the equation</em>

<em>Simpfly</em>

3x = -4x + 14

<em>Add 4x to both sides of the equation</em>

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7x = 14

<em>Divide both sides of the equation by the same term</em>

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x = 2

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3 years ago

If the sum of three consecutive odd integers is at most 216, what is the largest possible value of one of those integers?

galben [10]

Answer:

yes

Step-by-step explanation:

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3 years ago

What is the total surface area

Dima020 [189]

the answer is 216.81 I looked it up on a calculator

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3 years ago

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

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2 years ago

Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000.

Rzqust [24]

The answer is going to be 3,495

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