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Degger [83]
2 years ago
13

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. wri

te an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.
Mathematics
1 answer:
Natasha2012 [34]2 years ago
6 0

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  length\times width

Area= (3x+3)x

\Rightarrow 3x^2+3x-90

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A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur
Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

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6 0
2 years ago
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e
Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0
3 years ago
There are 120 students in the seventh grade. Seventy percent of these students are involved in extracurricular activites. How ma
Tanzania [10]

First, turn 70% into a decimal by dividing 70 by 100.

70% ⇒ 0.70

Multiply 120 by 0.70.

120 × 0.70 = 84

Now we know that 84 students are involved in extracurricular activities. Subtract 84 from 120 to find the amount of students who are <em>not</em> involved in extracurricular activities.

120 - 84 = 36

<h2>Answer:</h2>

<u>36 seventh grade students are not involved in extracurricular activities.</u>

6 0
3 years ago
Read 2 more answers
???pls help i'm not that smart thank you
Sauron [17]
Answer:
53 in.^2

Hope that helps!:)
4 0
3 years ago
If you have 80 employees and you grow 116%, what was the amount of original employees?
Ganezh [65]

。☆✼★ ━━━━━━━━━━━━━━  ☾

Find the multiplier by diving the percentage by 100

116/100 = 1.16

Divide the number of employees by this:

80/1.16 = 68.9655...

There would be 68 employees.

Have A Nice Day ❤  

Stay Brainly! ヅ  

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。☆✼★ ━━━━━━━━━━━━━━  ☾

5 0
3 years ago
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