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White raven [17]
3 years ago
13

Solve for x: -5 < 8x + 11 < 19

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

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What is the arc length of a circle (in meters) with a radius of 2 meters that has an arc angle of 90°?
DIA [1.3K]

Answer:

The arc length of a circle is 3.14 m or 1π m

Step-by-step explanation:

First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°

To solve this exercise we need to use the circumference formula of a circle:

c = circumference

r = radius = 2m

π = 3.14

c = 2π * r

we replace the known values

c = 2 * 3.14 * 2m

c = 12.56m

As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total

90° / 360° = 1/4

Now we multiply this number by the circumference and we will obtain the length of the arc

12.56m * 1/4 = 3.14

The arc length of a circle is 3.14 m or 1π m

8 0
3 years ago
What are the roots of the equation? <br> 2x^2+x=6
fredd [130]

Answer:

They would be 3/2 & -2.

4 0
3 years ago
Read 2 more answers
In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountai
Cloud [144]

An appropriate measure for ∠CDE would be

∠CDE = ∠ADE - ∠ADC

<h3>How to check for the appropriate measure of CDE.</h3>

we have the following angles as parallel BC¯, DE¯, and FG¯ also  CD¯, EF¯, and GH¯.

The angles that we have to check in order to measure would be

∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.

Read more on angles and triangles here:

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3 0
2 years ago
CORRECT ANSWER WILL GET BRAINLIEST!!!!
Aleks [24]
7

first we can do 26-19=7

so, x=7
3 0
4 years ago
Read 2 more answers
Select the correct answer.
babunello [35]

Answer:

  • C. 3(b - 2) = 24

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

<u>A. 2(b + 4) = 16 </u>

  • 2(10 + 4) = 2(14) = 28 ≠ 16, incorrect

<u>B.  2(b + 2) = 40 </u>

  • 2(10 + 2) = 2(12) = 24 ≠ 40, incorrect

<u>C. 3(b - 2) = 24 </u>

  • 3(10 - 2) = 3(8) = 24, correct

<u>D. 2(8 + b) = 42 </u>

  • 2(8 + 10) = 2(18) = 36 ≠ 42, incorrect

<u>E. 3(b - 4) = 20</u>

  • 3(10 - 4) = 3(6) = 18 ≠ 20, incorrect
4 0
3 years ago
Read 2 more answers
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