1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
12

Solve. 5 < x – 2 < 11

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
The answer is 7 < x < 13.

5 < x - 2 < 11
Add 2 in all sections:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
You might be interested in
Find the total cost. $ 1,299 T.V.; 7% tax<br> Math
Leto [7]
The total to this would be $1,389.93 because $1,299 + 7% = $1,389.93
4 0
3 years ago
A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

\tan\theta=\frac{perpendicular}{base}

Here \theta=45^{\circ} , perpendicular = 30 m  and base we can find.

thus,

\tan 45^{\circ}=\frac{30}{EA}

We know \tan 45^{\circ}=1

thus, EA =  30 m

Consider the Δ AEB,

Using trigonometric ratio,

\cos\theta=\frac{base}{hypotenuse}

Here \theta=60^{\circ} , hypotenuse = 80 m  and base we can find.

thus, \cos 60^{\circ}=\frac{base}{80}

We know, \cos 60^{\circ}=\frac{1}{2}

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0
3 years ago
You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what
Butoxors [25]

Answer: 6600

Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

​

start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.

\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd

Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54

Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

​

x

​

 

=$1.54

=

0.055

$1.54

​

=6600

7 0
3 years ago
Lisa was assigned 48 pages to read for English class. She has finished ¾ of the assignment. How many more pages must she read?
miss Akunina [59]

Answer:

12 pages

Step-by-step explanation:

If you divide 48 by four, you get twelve. 3/4 of 48 is 36, so you subtract the 36 from the 48 and get 12.

8 0
3 years ago
Read 2 more answers
Lani says that product of an odd number and an odd number is an odd number. write a number sentence that shows how Lani is state
PIT_PIT [208]
Any odd number multiplied by another will result in an ofd number. ex. 9x7=63 You can multiply any two odd numbers and solve.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Help plz I’m vvvvv confused
    5·2 answers
  • What is they sum of 8/10 and 2/100
    8·1 answer
  • Seven friends shared a 2/3 pound bag of pistachios. If each person had the same amount of nuts, how many pounds did each person
    14·2 answers
  • Ms. Stone sold her rectangular plot of land. On a map, the coordinates of the vertices are (1, 4), (4, 7), (8, 3), and (5, 0).
    6·1 answer
  • Rounded to the nearest ten thounsend
    9·1 answer
  • Sean and Kyle have 26 dollars between them. If Sean has 8 more dollars than Kyle, how much money does Kyle have, in dollars?
    9·2 answers
  • Express 34% as a fraction in simplest form?
    7·2 answers
  • Jane is getting ready to attend college next year. She's thinking about ways to pay for it. Which of these is the best first ste
    11·1 answer
  • the length of a rectangle is 8in. more than it’s width. the perimeter of the rectangle is 88in. what are the width and length of
    11·1 answer
  • 19. What is the sum of the measures of the exterior angles in a nonagon? Explain.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!