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forsale [732]
3 years ago
10

4 1/4 divided by 2/7 (x+8)-(3x- 5) Explain how you got the answer!!!!!

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Turn it to improper fractions.

4 1/4 divided by 2/7

Divide them.

17/4 divided by 2/7

17      2     17 x 7

--- ÷  --- = --------- = 119/8 OR 14 7/8

4       7      4 x 2

-----------------------------------------------------

Distribute to take out the parentheses.

(x + 8) - (-3x - 5)

Combine like terms.

x + 8 + 3x + 5

Answer.

4x + 13

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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
1/2x + 4=9<br> What does x equal?
Ludmilka [50]

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

5 0
3 years ago
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1<br> _ x + 9 for x=3 .............................................<br> 2
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Answer:

10.5

Step-by-step explanation:

\frac{1}{2}  \times 3 + 9 \\ 1.5 + 9 \\ 10.5

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8/3 write as a mixed fraction
Helen [10]
8/3 as a mixed fraction is 2_2/3
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3 years ago
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