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4 years ago

How do you solve it?

Mathematics

1 answer:

Alchen [17]4 years ago

6 0

Start by distributing the square root of 8 inside the bracket.

$\sqrt{8}(\sqrt{24} + 3\sqrt{8}) = \sqrt{8}*\sqrt{24} + 3\sqrt{8}^2$
$= \sqrt{192} + 24$
$= \sqrt{64*3} + 24 = 8\sqrt{3} + 24$
$= 8(\sqrt{3} + 3)$

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Solve the triangle. 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

Which inequality is true? O A. 107 > 30 B. +437 O C. 2 > 2 D. 8 - 7 > 5

qaws [65]

Answer: A

Step-by-step explanation: 107 is larger than 30

6 0

3 years ago

Lines m and p are parallel. If the slope of line m is 1/25 the slope of line p?

soldi70 [24.7K]

Answer:

1/25

Step-by-step explanation:

Parallel lines have equal slopes.

So,

Slope of m = Slope of p = 1/25

3 0

3 years ago

Read 2 more answers

Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If t

Sladkaya [172]

X = bracelets y = necklaces there are 23 of them in total (necklaces + bracelets) x + y = 23 bracelets are $2 each and necklaces are $3 each...totaling $55 2x + 3y = 55

5 0

3 years ago

An item is regularly priced at $21. It is on sale for 15% off the regular price of the item now

Lynna [10]

Answer:

$ 17.85

Step-by-step explanation:

Regular price = $ 21

Reduction = 15% of regular price

$= \frac{15}{100}*21\\\\= 0.15*21\\= 3.15$

= $ 3.15

Price of the item after reduction = 21 - 3.15 = $ 17.85

8 0

3 years ago