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Oduvanchick [21]
1 year ago
5

By using a number line, arrange each of the each of the following in descending order (a) 4 29upon 33, -2.365,5.5,-3 upon 4 (b)

5 upon 8,-8, 10 1 upon 2 , 5.855, - 2π
Mathematics
1 answer:
Sergeeva-Olga [200]1 year ago
6 0

The arrangement of the numbers in descending order (largest to smallest) are as follows;

  • a). 5.5, 4, 29/33, -3/4, -2.365
  • b). 10, 5.855, 5/8, 1/2 -2π, -8

<h3>What is the arrangement of the numbers in descending order in each case?</h3>

It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.

Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.

Read more on number line;

brainly.com/question/4619309

#SPJ1

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Find two positive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer
mafiozo [28]

Answer:

the numbers are 4,6

Step-by-step explanation:

Let

x-------> the smaller even consecutive integer

x+2-------> the larger even consecutive integer

we know that

x^{2}=(x+2)+10

solve for x

x^{2}-x-12=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-x-12=0

so

a=1\\b=-1\\c=-12

substitute in the formula

x=\frac{1(+/-)\sqrt{-1^{2}-4(1)(-12)}} {2(1)}

x=\frac{1(+/-)\sqrt{49}} {2}

x=\frac{1(+/-)7} {2}

x=\frac{1(+)7} {2}=4  ------> the solution (must be positive)

x=\frac{1(-)7} {2}=-3

therefore

the numbers are 4,6

5 0
3 years ago
Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school
-Dominant- [34]

Answer:

  c, d.  see attached

  e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

  A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

  B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

  (BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

  (2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.

5 0
3 years ago
What is the percent of 0.6 repeating
Oduvanchick [21]
.6 repeating can be converted into 2/3, or 66%.

Hope this helps, best of luck! ;)
3 0
3 years ago
Read 2 more answers
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat
Lelechka [254]
<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

                             A = 0.5 ab SinC

Here we need to find how area changes with  a and b fixed and C is changing,

                       \frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}

We have

                 a = 8 m

                 b = 9 m

                 C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s

Substituting

                 \frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s

Rate at which area is increasing is 1.08 m²/s.

4 0
3 years ago
Solve. 5x - 5 = 50 A) x = 8 B) x = 9 C) x = 10 D) x = 11
Angelina_Jolie [31]
The answer would be D) x = 11.

Add 5 to both sides (5x = 50 + 5)

Simplify 50 + 5 to 55 (5x = 55)

Divide both sides by 5 (x = 55/5)

Simplify 55/5 to 11 (x = 11)
4 0
3 years ago
Read 2 more answers
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