Help! What is the answer to this question?

Dovator [93]

It is about 1.37638192.
The cotangent is just one divided by the tangent. So, find the tangent of pi/5 = 0.726542528, then divide 1 by that number.

6 0

4 years ago

What is an equation of the line that passes through the point (− 2, 5) and is parallel to the line 3x + 4y = 12 ?

Masja [62]

Answer: $y=-\frac{3}{4} x+3.5$ or $y=-\frac{3}{4}x+\frac{7}{2}$

Step-by-step explanation:

A parallel line has the same slope and different y-intercepts.

Let's change our equation to slope-intercept.

$3x+4y=12$

$4y=12-3x$

$y=\frac{12-3x}{4} =3-\frac{3}{4}x$

$y=3-\frac{3}{4} x$

Now that we know our slope is -3/4, we know the equation will have -3/4 as the slope. Let's leave b blank so that we can find the y-intercept of the parallel line.

$5=-\frac{3}{4}(-2)+b$

$5=\frac{3}{2} +b$

$3.5=b$

Our parallel equation is $y=-\frac{3}{4}x+3.5$ or $y=-\frac{3}{4} x+\frac{7}{2}$

3 0

3 years ago

The sum of two numbers is 100. The different between them is 56. What is the larger number?

m_a_m_a [10]

<h2>Answer:-</h2>

$\pink{\bigstar}$ The larger number is $\large\leadsto\boxed{\tt\purple{78}}$

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<h3>• Given:-</h3>

Sum of two numbers is 100.

Difference between the numbers is 56.

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The larger number = ?

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<h3>• Solution:-</h3>

Let the two numbers be 'x' and 'y' respectively.

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According to the question:-

✯ Sum of two numbers is 100.

➪ $\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}$

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Also,

✯ Difference between the numbers is 56.

➪ $\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}$

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• Adding equation [1] and equation [2]:-

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➪ $\sf (x + y) + (x - y) = 100 + 56$

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➪ $\sf x + y + x - y = 156$

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➪ $\sf 2x = 156$

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➪ $\sf x = \dfrac{156}{2}$

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★ $\large{\bold\red{x = 78}}$

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• Substituting the value of x in equation [1]:-

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➪ $\sf x + y = 100$

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➪ $\sf 78 + y = 100$

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➪ $\sf y = 100 - 78$

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★ $\large{\bold\red{y = 22}}$

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Therefore, the numbers are 78 and 22.

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The larger number is 78.

3 0

3 years ago

Which is the measure of angle C A). 42° B). 138° C). 180° D). 218°

eimsori [14]

Answer:

∠C° = 138°.

Step-by-step explanation:

Given : Figure.

To find : Which is the measure of angle C

Solution :We have given that

We can see from the given figure angle C and angle 45 are formed on a line.

So, it formed linear pair angle

According to property : Sum of linear pair angle is 180 degree.

Then ,

∠42° + ∠C° = 180°.

On subtracting both sides by 42.

∠C° = 180 -42.

∠C° = 138°.

Therefore, ∠C° = 138°.

3 0

4 years ago

Rewrite the following statement using a number in scientific notation.

sergey [27]

$\bf 0.\stackrel{\textit{8 decimals}}{00000002}\implies 2.0\times 10^{-8}~meters$

since 2 is the first significant digit, a nonzero, then we move the dot that way, it just so happen it's 8 spots to the right.

5 0

4 years ago

Help!What is the answer to this question?​

Help!What is the answer to this question?