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elena-14-01-66 [18.8K]
2 years ago
11

Find the trig ratio. Reduce to lowest terms. 6 А 8 [?] sin A US

Mathematics
2 answers:
cluponka [151]2 years ago
7 0

Answer:

\frac{3}{5}

Step-by-step explanation:

<u>GIVEN :-</u>

  • Measure of side opposite to ∠A (Perpendicular) = 6 units
  • Measure of side adjacent to ∠A (Base) = 8 units

<u>TO FIND :-</u>

  • sin A

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • Hypotenuse = \sqrt{(Base)^2 + (Perpendicular)^2}
  • \sin A = \frac{Side \: opposite \: to \: A}{Hypotenuse}

<u>PROCEDURE :-</u>

Measure of perpendicular of triangle = 6 units

Measure base of triangle = 8 units

Measure of Hypotenuse = \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100}  = 10 \: units

Side opposite to ∠A = Perpendicular of triangle =  6 units

∴ sin A = \frac{6}{10} = \frac{3}{5}

Maslowich2 years ago
6 0

Answer:

3/5 will be the reduced answer

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marysya [2.9K]

Answer:

120 Degrees

Step-by-step explanation:

As the set up says the two angles (m<A and m<C) are the same so you would simply just divide 240 by 2 (240/2) to find your answer of 120.

3 0
3 years ago
Read 2 more answers
0 ) Dan bought 7 new baseball trading cards to add to his collection. The next
harina [27]

Dan started with 69 cards

Step-by-step explanation:

Let x be the initial number of cards

Then

According to "Dan bought 7 new baseball trading cards to add to his collection"

x+7

The next  day his dog ate half of his collection.

\frac{1}{2}(x+7)

There are now only 38 cards left.

\frac{1}{2} (x+7) = 38

Multiplying both sides by 2

x+ 7 = 38*2\\x+7 = 76

Subtracting 7 from both sides

x+7-7 = 76-7\\x = 69

Hence,

Dan started with 69 cards

Keywords: Linear equation, word problems

Learn more about linear equations at:

  • brainly.com/question/7888686
  • brainly.com/question/7857079

#LearnwithBrainly

4 0
3 years ago
Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?​
MakcuM [25]

To find this answer, we must divide the amount Dillion earned, by the time he put into his work.

170 / 20 = 8.5

Therefor, we now know that Dillion makes $8.5 an hour.

3 0
3 years ago
Solve the differential equation by separation of variables<br> x(dy/dx)=4y
weeeeeb [17]
<span>get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>

3 0
3 years ago
Quick plz help asap marking brainliest for first answer as long as you include steps !!!
Akimi4 [234]

Answer:

a=2.48

c=9.52

Step-by-step explanation:

a+c=12

4a+7.5c=72.5 Given


a+c=12

-4a-7.5c=-72.5 multiply the equation by negative 1


-3a-6.5c=-60.5 simplify


-3a=-60.5+6.5c add 6.5c to both sides


a=-20.17+2.17c divide it by 3

now you would take that equation and plug it into an equation you already have since you have something to plug in for a, the easiest one to do is a+c=12

(-20.17+2.17c)+c=12 plug in the equation


-20.17+3.17c=12 simplify by solving for c


3.17c=30.17 add 20.17 to both sides


c=9.52 divide both sides by 3.17

now since you have found c, you can plug it in to you equation to solve for a now (use the ones from the second step).  I am using the equation a+c=12.

a+9.52=12 plug in the variable and solve for a


a=2.48 subtract 9.52 to both sides


a=2.48

c=9.52

7 0
3 years ago
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