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3 years ago

5

6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabr

ic does she have left?

1 answer:

Sloan [31]3 years ago

8 0

She has 1/6 fabric left after she makes her dress.
Steps: You subtract 1 2/3 by 1 1/2 and get 1/6.

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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

5 0

3 years ago

What is the value of the following expression? <br> 4×[6+(27÷3)+11]

-BARSIC- [3]

4 × (6+7 + 11)
4 × 24
96

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3 years ago

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Consider the polynomial 8x^3+2x^2-20x-5 factor

pantera1 [17]

Answer:

(4x + 1)(2x² - 5)

Step-by-step explanation:

Given

8x³ + 2x² - 20x - 5 ( factor the first/second and third/fourth terms )

= 2x²(4x + 1) - 5(4x + 1) ← factor out (4x + 1) from each term

= (4x + 1)(2x² - 5)

4 0

3 years ago

Eva measures the mass of her pet lizard each month. She wrote this equation to describe her lizard's growth.

11Alexandr11 [23.1K]

Answer:

independent variable- change or control

dependent- measure

so ...

x can be type of lizard (you can change the lizard's size, type/species, etc)

y can be the mass in grams ( u measure mass)

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3 years ago

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What is the slope of the line that contains the points 12. 6) and (-1, 6)?

Tema [17]

Answer:

c) 0

Step-by-step explanation:

m= slope

m= (y2 -y1)/(x2-x1)

we have the points:

(12,6) and (-1,6)

x1= 12 y1= 6

x2= -1 y2= 6

so we have:

m= (6-6)/( -1 -12)

m= 0/ -13

m= 0

4 0

3 years ago