MATHEMATICS MIDDLE SCHOOL

In right triangle ABC, angle B is a right angle. sin A = 2/3 and the length of BC is 6 meters. What is the length, in meters, of AC?

Answers

Answer 1
Answer:

The length of AC is 9 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where Perpendicular = 6m (Picture Attached)

The trigonometric ratios can be used to find the required length.

When an angle is under consideration the side opposite to angle is perpendicular.

So,

sin\ A = (P)/(H)

(2)/(3) = (BC)/(AC)\n(2)/(3) = (6)/(AC)\nAC = 6 * (3)/(2)\nAC = 3*3\nAC = 9m

Hence,

The length of AC is 9 meters

Keywords: Triangle, right angles

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Step-by-step explanation:

75% of what number is 42?

Answers

75 percent of the number 56 is 42.

Let the unknown number be x.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 75% of x is 42

75% of x= 42

75/100 ×x= 42

0.75x=42

x=42/0.75

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Therefore, 75 percent of the number 56 is 42.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

Answer:

56

Step-by-step explanation:

\bold{METHOD\ 1:}\n\n\begin{array}{ccc}100\%&-&x\n75\%&-&42\end{array}\qquad\text{cross multiply}\n\n75x=(100)(42)\n75x=4200\qquad\text{divide both sides by 75}\n\boxed{x=56}

\bold{METHOD\ 2:}\n\np\%=(p)/(100)\to75\%=(75)/(100)=0.75\n\n75\%\ of\ x\ is\ 42\to0.75x=42\qquad\text{divide both sides by 0.75}\n\n\boxed{x=56}

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Answers

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Answers

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b.) Same as a, 
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