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3 years ago

Is 60n + 12 equal to 12(5n + 1)

Mathematics

1 answer:

hram777 [196]3 years ago

5 0

Answer: no

Step-by-step explanation:

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Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

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

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

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

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

A salesperson receives 30% commission on the total sales they make in a year How much commission do they make with $350,000 in s

ValentinkaMS [17]

Answer:

105,000

Step-by-step explanation:

Hope this helps

5 0

3 years ago

2x-y=-10 y=4 what is the solution

ratelena [41]

Answer:

(- 3, 4)

Step-by-step explanation:

given the 2 equations

2x - y = - 10 → (1)

y = 4 → (2)

Substitute y = 4 into (1) and solve for x

2x - 4 = - 10 ( add 4 to both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 4 )

3 0

3 years ago

How do scientists communicate the results of investigations? A. by publishing articles in scientific journals B. by giving talks

astraxan [27]

A) by publishing articles in scientific journals-
because science progresses by them sharing their progress and results

6 0

4 years ago

Read 2 more answers

When practicing problems in the Study Plan or working on a Homework assignment, the issues are broken up into steps, which ar

Ipatiy [6.2K]

Answer:

hey bro

Step-by-step explanation:

hwy bro

my name is inkolnown

this is yout answer

5 0

2 years ago