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Alex73 [517]
3 years ago
10

* Two cars started to move from C and from D, towards one another. The car that starts at point C moves twice as fast as the car

that starts at point D. How far from Boston will these two cars meet?
Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0

Answer:

The answer to the question is

If Boston is at D and C is 90 km away from Boston, then the two cars will meet at 30 km from Boston.

Step-by-step explanation:

Let the speed of the car that start from C = V₁

Let the speed of the car that start from D = V₂

Therefore where V₁ = 2·V₂

We have at time t when the cars meet the distance covered by the car that start from C will be V₁×t = 2·V₂×t, while the distance of the other car will be

V₂×t

Which means that the distance covered by the car that start from C is twice that of the car that start from D

Hence if Boston is located at D which is 90 km from C then both cars will meet at

90 km /3 = 30 km from Boston as the car originating from Boston would only have covered 30 km when the two cars meet.

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(20 points)Solve the equation cos x = sin (x + 22)
Law Incorporation [45]

Answer:

\bold{x = 34^\circ}

Step-by-step explanation:

Given:

cos x = sin (x + 22^\circ)

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

sin(90^\circ-\theta )=cos\theta

OR

cos(90^\circ-\theta )=sin\theta

We can apply above property to solve for x as per given equation.

cos x = sin (x + 22^\circ)

Changing cosx to sine form:

cosx=sin(90^\circ-x)

cosx=sin(90^\circ-x) = sin(x+22^\circ)

\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}

So, solution to the equation cos x = sin (x + 22^\circ) is:

\bold{x = 34^\circ}

7 0
3 years ago
Please, I need help ASAP! Which of the following shows the true solution to the logarithmic equation mc019-1.jpg
bekas [8.4K]
X = 1 is the correct answer.
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3 0
3 years ago
for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

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Its slope is 3/k.

Find the slope of line 2, using the slope formula:

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2 years ago
Suppose you buy a CD for $1000 that earns 2.5% APR and is compounded
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The early withdrawal fee on this account is $6.25

Step-by-step explanation:

Suppose you buy a CD for $1000

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∵ 2.5% = 2.5 ÷ 100 = 0.025

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∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625

∵ The early withdrawal fee is 3 months' interest

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∴ The early withdrawal fee = 1000 × 0.00625 = $6.25

The early withdrawal fee on this account is $6.25

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

7 0
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