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3 years ago

A, B & C form the vertices of a triangle.

Mathematics

1 answer:

kirza4 [7]3 years ago

6 0

<h3>Answer: 20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843 ... make sure your calculator is in degree mode

x = 20.3 .... rounding to 3 significant figures

see diagram below

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Marizza181 [45]

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10 hours

Step-by-step explanation:

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300 = 30x

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3 years ago

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Answer:

5450

Step-by-step explanation:

Put 9% where r is in your formula and evaluate it. Of course, you must use the decimal equivalent.

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3 years ago

The graph of a proportional relationship contains the point (8, 4).

Softa [21]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
(\stackrel{x}{8}~~,~~\stackrel{y}{4})\implies 
\begin{cases}
x=8\\
y=4
\end{cases}\implies 4=k8\implies \cfrac{4}{8}=k\implies \cfrac{1}{2}=k
\\\\\\
\boxed{y=\cfrac{1}{2}x}$

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4 years ago

The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for

dezoksy [38]

Answer: 44 gallons

Step-by-step explanation:

Using proportion,

33 gallons = 3hours

X = 4hours

Cross multiply

3 × X = 33 × 4

3X = 132

Divide bothside by 3

3x/3 =132/3

X = 44

Therefore the helicopter uses 44gallons for 4 hours.

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3 years ago