Angle 1 and angle 2 are complementary if m angle 4 = 39 find m angle 2

Mary has three baking pans. Each pan is 8" × 8" × 3". Which expression will give her the total volume of the pans?

klio [65]

The volume of one pan is 192 units cubed. The volume of the three pans is 576 units cubed.

7 0

2 years ago

Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, p

Alenkasestr [34]

Percentage is the way to represent the part of a whole in a fraction of 100.The greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

<h3>Given-</h3>

In the given table we have to find out the percent of the increase in the number of each job to find out the greatest one.

<h3>Percentage</h3>

Percentage is the way to represent the part of a whole in a fraction of 100.

1-Orthodontist-

In 2006 the total number of orthodontists was 9206.

In 2016 the total number of orthodontists was 10214

Percent of increase in this job is,

$p_{1} =\dfrac{10214-9206}{9206}\times100$

$p_{1} =10.94%$

Hence, percent of the increase in this job is 10.94 present.

2-Sound engineer technician-

In 2006 the total number of Sound engineer technicians was 16125

In 2016 the total number of Sound engineer technicians was 17864

Percent of increase in this job is,

$p_{2} =\dfrac{17864-16125}{16125}\times100$

$p_{2} =10.78%$

Hence, percent of the increase in this job is 10.78 percent.

3-Police officer-

In 2006 the total number of Police officers was 648982

In 2016 the total number of Police officers was 719041

Percent of increase in this job is,

$p_{3} =\dfrac{719041-648982}{648982}\times100$

p_{3} =10.79%

Hence, percent of the increase in this job is 10.79 percent.

4- Editor-

In 2006 the total number of Editors was 122273

In 2016 the total number of Editors was 124135

Percent of increase in this job is,

$p_{2} =\dfrac{124135-122273}{122273}\times100$

$p_{4} =1.52%$

Hence, percent of the increase in this job is 1.52 percent.

Hence, the greatest percent of the increase in the number of jobs from 2006 to 2016 is orthodontist which is 10.94 percent.

Learn more about the percentage here;

brainly.com/question/21230679

4 0

2 years ago

ben is showing his work in simplifying (3.9 − 9.4) − 0.6 6.1. identify any error in his work or reasoning. step 1: (3.9 − 9.4) −

motikmotik

He wrote identity instead of commutative in step 4

4 0

2 years ago

11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27

Stella [2.4K]

11. x² - 7x = 0
      x(x) - x(7) = 0
      x(x - 7) = 0
      x = 0 or x - 7 = 0
   + 7 + 7
   x = 7

Solution Set: {0, 7}

12. 3x² - 4x = 20x + 27
   + 4x   + 4x
         3x² = 24x + 27
      3x² - 24x - 27 = 0
      x = -(-24) ± √((-24)² - 4(3)(-27))
      2(3)
   x = 24 ± √(576 + 324)
   6
   x = 24 ± √(900)
   6
   x = 24 ± 30
   6
   x = 4 ± 5
   x = 4 + 5 or x = 4 - 5
   x = 9 or x = -1

Solution Set: {9, -1}

8 0

3 years ago

10483 people attended a rock festival. if there were 811 more boys than girls, and 2481 fewer adults over 50 years of age than t

Bond [772]

Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.

Step-by-step explanation:

Let x denotes the number of girls.

Then, the number of boys = x+811

The number of adults over 50 years of age = x-2481

Now, by considering the given scenario :-

$x+x+811+x-2481=10483\\\\\Rightarrow\ 3x-1670=10483\\\\\Rightarrow\ 3x=10483+1670\\\\\Rightarrow\ 3x=12153\\\\\Rightarrow\ x=\dfrac{12153}{3}=4051$

Thus, the number of girls attended the festival = 4051,

Then number of boys = 4051+811=4862

Number of adults = 4051-2481=1570

7 0

3 years ago