2 years ago

Simplify 3 times 4 minus 8 divided by 2

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

7 0

Answer:

Step-by-step explanation:

3 x 4 = 12 - 8 = 4 ÷ 2 = 2

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Solve the following triangle. Given A=51 degrees b=40 c=45

STALIN [3.7K]

Answer:

$a=36.87\ units$

$B=57.47^o$

$C=71.53^o$

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

$a^2=b^2+c^2-2(b)(c)cos(A)$

substitute the given values

$a^2=40^2+45^2-2(40)(45)cos(51^o)$

$a^2=1,359.4466$

$a=36.87\ units$

step 2

Find the measure of angle B

Applying the law of sines

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

substitute the given values

$\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}$

$sin(B)=\frac{sin(51^o)}{36.87}{40}$

$B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o$

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$51^o+57.47^o+C=180^o$

$108.47^o+C=180^o$

$C=180^o-108.47^o=71.53^o$

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4. The list below shows the number of songs that five students downloaded last week.

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Answer:

Your answer is D

Step-by-step explanation:

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1 year ago

2x=160, can you help me with this, and show steps?

Mars2501 [29]

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Paladinen [302]

Answer:

So, Simplified fraction of 8:6 is 4:3.

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