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Alika [10]
3 years ago
13

Worth 30 points help plz!Graph the solution of the inequality −3(x + 1) ≤ 6 on the number line.

Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

Answer: Filled circle at -1 shading to the left.

Step-by-step explanation:

-3x+3<6

     -3 -3

_________

-3x<3

-3x/-3     3/-3

=  -1

and the < sign means less than or equal to. Hope this helps!

lilavasa [31]3 years ago
3 0

Answer:Option D

Step-by-step explanation:

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Please help with my Area of sectors and Segments Question!!! Show your work please!!!!
viktelen [127]

Answer:

The answer is 11.1 sq hope it helps and good luck!

Step-by-step explanation:

4 0
3 years ago
Solve the triangle.<br><br> B = 36°, a = 41, c = 20
svetoff [14.1K]

Answer:

See below

Step-by-step explanation:

When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:

b^{2}=a^{2}+c^{2}-2acCos(B)

b^{2}=41^{2}+20^{2}-2(41)(20)cos36 \\b^{2}=1681 + 400-1327 \\b^{2}=754 \\b = 27.5

After you have a side and the opposed angle (side b and angle B), you use the law of sines:

\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}

I will calculate angle A first:

[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°[/tex]

Same for angle C:

\frac{27.5}{sin36} =\frac{20}{sinC} \\sinC =\frac{20}{27.5} sin36 \\sin C = 0.427 \\C = 25.3\°

The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.

I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.

using B = 36:

b = 36.6

angle A = 86.4°

angle C = 29.1°

A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°

5 0
3 years ago
Find the lengths of the segments with variable expressions
nlexa [21]

Answer:

EF = 7 units

AD =  3 units

BC =  11 units

Step-by-step explanation:

Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.

x = 1/2(x-4 + 2x-3)

x = 1/2x - 2 + x - 1 1/2

x = 1 1/2 x - 3.5

-1/2 x = -3.5

x = 7 units

EF = 7 units

AD = 7-4 = 3 units

BC = 2(7) - 3 = 11 units

5 0
3 years ago
8+4 please help me IM IN A HURRY​
Alekssandra [29.7K]

Answer:

12

Step-by-step explanation:

Just add 4 more to 8 and you get 12

5 0
3 years ago
Read 2 more answers
solve the following inequality. Then plays the correct answer in the box provided. answer in terms of a mixed number. 2(P+1)+3(P
Vesnalui [34]
2(P+1)+3(P+2)>2
Distribute
2P+2+3P+6>2
Simplify
5P+8>2
Subtract 8 from both sides
5P>-6
Divide both sides by five
P>(-6/5)
Turn to mixed number and you're done.
P>-1 and 1/5
5 0
4 years ago
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