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yKpoI14uk [10]
2 years ago
14

Find the area of the quadrilateral ABCD. ​

Mathematics
1 answer:
REY [17]2 years ago
3 0
Answer
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Use the equation √4x+15 - 3√x How many potential solutions are there? ​
topjm [15]
There is one potential solutions and no extraneous solutions.
7 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
Factorise the completely 3ax+2ay+6bx+4by​
aliina [53]

Answer:

3ax+2ay+6bx+4by

= 3ax+ 6bx+ 2ay + 4by

= 3x(a+2b) +2y(a+2b)

= (3x+2y)(a+2b)

6 0
3 years ago
Read 2 more answers
Can someone plz help meee
Naya [18.7K]

Answer:

\sqrt{144}

Step-by-step explanation:

15^{2} = x^{2} + 9^{2}

x^{2} = 15^{2}  - 9^{2} \\x^{2} = 144\\x = \sqrt{144}

6 0
3 years ago
David and Fiona have a house painting business. Fiona can paint a house in 3 days, David can paint the same house in 4. How quic
Naily [24]
3.5 days!

Just because they work together, it doesn't mean they'll work twice as fast!

Find the average of the two by adding 3 and 4 to get 7 and then divide by 2 to get 3 and a half hour.

I think. xD This is kind of tricky.
6 0
3 years ago
Read 2 more answers
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