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3 years ago

given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. 3/2 2/3 -3/2

1 answer:

5 0

2x-3y-5=0
2x-5=3y
3y=2x-5
y= $\frac{2}{3} x- \frac{5}{3}$
Gradient of line 1 = $\frac{2}{3}$
Gradient of line 2;
$m_{1} * m_{2} =-1$
$m_{2} * \frac{2}{3} =-1$
$m_{2} =- \frac{3}{2}$

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Can someone help me with this thanks

Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

$\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}$

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

$\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}$

$\frac{BC}{sinA}=\frac{AB}{sinC}$

$\frac{2}{sin25}=\frac{3}{sinC}$

$\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )$

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

$\frac{BC}{sinA}=\frac{AC}{SinB}$

$\frac{2}{sin25}=\frac{l}{sin(115.66)}$

$l=\frac{2\times sin(115.66)}{sin25}$

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

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2 years ago

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vodomira [7]

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3 years ago

Read 2 more answers

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qaws [65]

Answer:

You aren't supposed to add 3k

Step-by-step explanation:

3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide

19-2k= 3k-1

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3 years ago

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Slav-nsk [51]

Answer:

30%

Step-by-step explanation:

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3 years ago

The length of the minute hand of a clock is

svetlana [45]

Answer:

Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

Step-by-step explanation:

Given:

The length of the minute hand of a clock is,

Which is as Radius,

Therefore,

Radius = r = length of the minute hand = 14\ inches

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To Find:

The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is

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Circumference, is given by,

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Therefore,

The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.

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3 years ago