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3 years ago

Which of the following inequali

Mathematics

1 answer:

Maru [420]3 years ago

3 0

Answer:

3<5

Step-by-step explanation: dont see a picture but i have an example

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

3n t 4=7 how to solve this

77julia77 [94]

7/12n is the answer to your question

7 0

3 years ago

Which two prime numbers' product is 226

saw5 [17]

Answer:

<h2>Solution: Since, the prime factors of 226 are 2, 113. Therefore, the product of prime factors = 2 × 113 = 226.</h2>

Step-by-step explanation:

<h2>(｡♡‿♡｡)______________________</h2><h2>PLEASE MARK ME BRAINLIEST AND FOLLOW M E AND SOUL DARLING TEJASWINI SINHA HERE ❤️</h2>

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3 years ago

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What is the inverse of the function f(x) = x +3?

harkovskaia [24]

Answer:

x=y+3

Step-by-step explanation:

you just swap variables.

4 0

3 years ago

Which expression is equivalent to 9^-2? –81 –18 1/81 1/18

Kaylis [27]

(9)^-2 = (1/9)^2 = 1/81

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3 years ago

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