3 years ago

Solve the equation. |k + 7| = 3

Mathematics

2 answers:

ruslelena [56]3 years ago

7 0

Answer:

k = -4

Step-by-step explanation:

Elena L [17]3 years ago

5 0

Answer:

k= 3-7= -4

Step-by-step explanation:

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5 . 9 × ____ = 73.16 which is the missing factor?

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Answer:

12.4

Step-by-step explanation:

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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

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$A+B+C=180^o$

substitute the given values

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

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

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4 years ago

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Step-by-step explanation:

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