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3 years ago

Answer and get 22 pts be named brainliest and get a thank you.

Mathematics

1 answer:

bazaltina [42]3 years ago

4 0

Option c 71 3/4

Step-by-step explanation:

Step 1 :

The area of a rectangle is length * breadth

Step 2 :

Given length = 15 3/8 = 123/8 (converting mixed fractions into improper fractions)

Breadth = 4 2/3 = 14/3

Step 3 :

Hence the area of the rectangle = length * breadth

= 123/8 * 14/3 = 1722/24 = 71 3/4 (converting improper fractions into mixed fractions)

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X^2+(x-4)^2=20^2<br> What is the value of x?

wel

Answer:

x=−12 or x=16

Step-by-step explanation:

also go back to my question and explain if it is real or non-real

8 0

4 years ago

Factor the polynomial expression 3x² + 2.

mel-nik [20]

Answer:

$\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}$

Step-by-step explanation:

Setting the expression equal to zero to find the roots,

$3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}$

This means that

$3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}$

5 0

2 years ago

This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round

nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

$x:y \\ \\ x: \ Width \\ \\ y: \ Height$

So, it is true that:

$x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}$

In this case, we know that the monitor has a diagonal length (D):

$D=19in$

So, by Pythagorean theorem:

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}$

$D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in$

Finding x:

$x=\frac{5(11.869)}{4} \\ \\ x=14.836in$

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

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3 years ago

The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe

satela [25.4K]

Answer: $x=3$ and $y=15$