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viktelen [127]
4 years ago
11

Convert the angle in degrees to radians. Express your answer as a multiple of pi 45 degrees 45 degrees ​= nothing radians

Mathematics
2 answers:
AnnyKZ [126]4 years ago
7 0

Answer:

Therefore, 45 degree = \frac{pi}{4} radians.

Step-by-step explanation:

Given : 45 degrees.

To find : Convert the angle in degrees to radians. Express your answer as a multiple of pi .

Solution : We have given 45 degrees.

1 degree = \frac{pi}{180} radians.

45 degree = \frac{45 *pi}{180} radians.

45 degree = \frac{pi}{4} radians.

Therefore, 45 degree = \frac{pi}{4} radians.

Natalka [10]4 years ago
6 0
45°=\frac{\pi}{4} rad

You convert from degrees to radians by multiplying the number of degrees by\frac{\pi}{180}.
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You invested $52.400 at 6% compounded annually for 5 years. What is your total return on this investment
Tems11 [23]

Answer:

$15,720

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Simple Interest Rate Formula: A = P(1 + rt)

  • <em>P</em> is principle amount
  • <em>r</em> is rate
  • <em>t</em> is time

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables.</em>

<em>P</em> = $52,400

<em>r</em> = 6%

<em>t</em> = 5

<u>Step 2: Find Current Investment Value</u>

  1. Substitute in variables [Simple Interest Rate Formula]:                                 A = 52,400(1 + 0.06 · 5)
  2. [Order of Operations] Evaluate:                                                                      A = $68,120

<u>Step 3: Find Total Return</u>

  1. Set up:                                                                                                               R = A - P
  2. Substitute in variables:                                                                                     R = 68,120 - 52,400
  3. [Order of Operations] Evaluate:                                                                      R = $15,720
5 0
3 years ago
Please help! Thanks!
Tomtit [17]

4] Which perfect square root is close to \sqrt{39}?

          Well we know that 7 times 7 is 49, and 6 times 6 is 36, so our answer will be between  \sqrt{36} and \sqrt{49}

          The closer root is \sqrt{36}, so we can approximate that the square root of 39 is around <u><em>6.2</em></u>.

5] We can do a similar step-by-step here.

4 times 4 is 16, and 5 times 5 is 20.

           This gives us \sqrt{16} and \sqrt{20}

Well, they are both equal distance from \sqrt{18} (2), so we can do this:

          We know it'll be between 4 and 5 (the number plot in the answer lets us know that too)

          4 times 4 is 16

          4.1 times 4.1 is around 16.8

          4.2 times 4.2 is about 17.64

          4.3 times 4.3 is 18.49

Now that we have an 18, we can stop going and see which one is closer.

          18 - 18.49 = -0.49

          18 - 17.64 = 0.36

4.2 times 4.2 is closer, so we can approzimate that \sqrt{18} is around 4.2

- See attachment for number line plot

Note] Hope this helps! Upon using a calculator I can confirm these answers are correct :D

8 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>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

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

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
2 years ago
Hiiioo! Can someone please help me with this❤️❤️
kotykmax [81]

Answer:

Hello! Your answer would be, E)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Is this a multiple choice?

7 0
3 years ago
What is the answer for Ac?
alukav5142 [94]

Answer:

answer is 13 plus 26 is equal to 39

8 0
3 years ago
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