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kari74 [83]
3 years ago
12

What is the radian measure of 30-60-90

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0
Hmmm check your Unit Circle, if you don't have one, this is a good time to get one, there are many online, just do a quick search for "Unit Circle".

\bf \cfrac{\pi }{6}-\cfrac{\pi }{3}-\cfrac{\pi }{2}
lapo4ka [179]3 years ago
4 0
Degrees Radians (exact) Radians (approx.)

30° π/6 0.524

60° π/3 1.047

90° π/2 1.571
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I need help with a calculus 2 exercise, with a good explanation to what I'm trying to figure out.
Karolina [17]
<h3>Explanation:</h3>

When writing rational expressions, you need to be aware that ...

  1/4x = (1/4)x ≠ 1/(4x)

Parentheses around the denominator are required, unless you're typesetting the expression and can use a fraction bar for grouping.

The derivative of the curve expression is ...

  y' = x - 1/(4x) . . . . . parentheses added to what you wrote

and the expression (1 -(y')^2) can be written ...

  1 -(y')^2 = x^2 +1/2 +1/(16x^2) . . . . . parentheses added to what you wrote

The first and last terms of this trinomial are both perfect squares, so you might suspect the whole trinomial is a perfect square. You recall that ...

  (a +b)^2 = a^2 + 2ab + b^2

This is a good "pattern" to remember. Using it is a matter of <em>pattern recognition</em>, as is the case with a lot of math.

Here, you have ...

  a = x

  b = 1/(4x)

In order for your trinomial to be a perfect square, the product 2ab must equal the middle term of your trinomial. (Spoiler: it does.)

  2ab = 2(x)(1/(4x)) = (2x)/(4x) = 1/2 . . . . . matches the middle term of 1 -(y')^2

Hence your trinomial can be written as the square ...

  1 -(y')^2 = (x +1/(4x))^2

_____

This is convenient because you want to integrate the square root of this. Your integral then becomes ...

\displaystyle\int\limits_{2}^{4}{\left(x+\frac{1}{4x}\right)\,dx

3 0
3 years ago
jenny peddled her bike for 11 miles in 45 minutes if she traveled the same speed how far would she reach in 2 hours?
professor190 [17]
60 * 2 = 120
120 / 45 = 2.6...7
2.6 * 45 = 29.3... (3 repeating) mi.

Messed that up!

11 / 45 = .24...
.24 * 120 = 28.8<u />
8 0
3 years ago
Read 2 more answers
Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
iris [78.8K]

Answer:

25% of the mix is raisins

7 0
3 years ago
PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.
Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

d =  \sqrt{(  x_{2} -  x_{1})  {}^{2}   + ( y_{2} -  y_{1}) {}^{2}  }

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

ab =  \sqrt{(2 - ( - 3)) {}^{2}  + (4 - 0) {}^{2} }

ab =  \sqrt{5 {}^{2} + 4 {}^{2}  }

ab =  \sqrt{41}AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

bc =  \sqrt{(3 - 2) {}^{2}  + (1 - 4) {}^{2} }

bc = \sqrt{1 {}^{2} + ( - 3) {}^{2}  }

bc =  \sqrt{10}

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

cd =  \sqrt{( - 4 - 3) {}^{2}  + ( - 3 - 1)) {}^{2} }

cd =  \sqrt{( -   7) {}^{2}  + ( - 4 ){}^{2} }

cd =   \sqrt{65}

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

ad =  \sqrt{(  - 4 - ( - 3)) {}^{2}  +  ( - 3 - 0) {}^{2} }

ad =  \sqrt{( - 1) {}^{2} + ( - 3) {}^{2}  }

ad =  \sqrt{10}

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0
3 years ago
Suppose that 11 inches of wire costs 44cents.
maksim [4K]
6 inches of wire can be bought with 24 cents.

44/11 = 4
4 cents per inch
24/4 = 6
4 0
3 years ago
Read 2 more answers
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