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Alexus [3.1K]
3 years ago
13

The product of two consecutive whole numbers is less than the sum of the square of the smaller number and 13

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer: a<13

Step-by-step explanation:

a*(a+1)<a^2+13

a^2+a<a^2+13

subtract a^2 from both sides:

a<13

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Dianne measured the thickness of 1000 sheets of paper as 264mm. How thick is the sheet? Please hurry anyone!!!!!
Karo-lina-s [1.5K]

Answer:

0.264 mm

Step-by-step explanation:

Number of sheets = 1000

Thickness of entire sheet = 264 mm

The thickness of the sheet is :

Thickness of entire sheet / number of sheets

264 mm / 1000

= 0.264 mm

6 0
3 years ago
The ratio of adults to students on the field trip is 3 to 5. If there are 15 students on the field trip, how many adults are the
Kazeer [188]

Answer:

There are 9 adults

Step-by-step explanation:

3:5 = x:15

3/5 = x/15

3(15) = 5x

5x = 45

x = 9 adults

3:5 = 9:15

4 0
3 years ago
Find the length of CD shown in red below. Show all work.
PIT_PIT [208]

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>How to calculate the length of an arc</h3>

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>Remark</h3>

The statement has typing mistakes, correct form is shown below:

<em>Find the length of the arc EF shown in red below. Show all the work.</em>

To learn more on arcs: brainly.com/question/16765779

#SPJ1

4 0
2 years ago
Write an equation that represents the line. Use exact numbers
mestny [16]

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}

Equation of line is given by:

y=mx+b

Putting the value of slope

y = \frac{5}{6}x +b

Putting (4,6) in the equation

6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}

Putting the value of b

y = \frac{5}{6}x+\frac{8}{3}

Hence,

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

7 0
2 years ago
A pond is being dug according to plans that have a scale of 3 inches = 9 feet. What is the scale factor of the Plans?
liq [111]

Answer:

1/36 scale factor

Step-by-step explanation:

3 inches/108 in

=1/36 scle factor

8 0
3 years ago
Read 2 more answers
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