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pickupchik [31]
3 years ago
10

Find the area of the composite figure in square mm. Round your

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

521

Step-by-step explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = πr^2

Diameter =20= 2r

r=10

πr^2= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521

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A line that includes the point (-11,-1) has a slope of 1. What is it's equation in slope intercept form.
Natali5045456 [20]

Answer:

y - 1 = 1( x -11)

Step-by-step explanation:

I hope this helps you out!

3 0
3 years ago
To simplify 48 ÷ 6 • 3, which operation should be performed first?
dangina [55]

Multiplication. If you need help just remember PEMDAS.

Parentheses

Exponents

Multiplication

Division

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4 0
3 years ago
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Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
One-half of the sum of a number and 6 is less than 25. What is the number
Leno4ka [110]

Answer:

44

Step-by-step explanation:

1/2(n + 6) < 25         Distribute

1/2n + 3 < 25

       - 3     - 3           Subtract 3 from both sides

1/2n < 22                  Multiply both sides by 2 or divide by 1/2

n < 44

If this answer is correct, please make me Brainliest!

4 0
3 years ago
I don't really understand pls help asap
maria [59]

Answer:

It is not proportional

Step-by-step explanation:

    To figure out if something is proportional they have to equal the same thing.

   As you can see on the problem 0.2 and 0.2 are the same thing, and since one is on the numerator and one is on the demoninator those two can cross out.

    Now we come to the 0.08 and the 0.8.

     They are not the same thing the 0.08 has an extra 0.

So this is not proportional

<em>-I hope this helps! -Karen</em>      

3 0
1 year ago
Read 2 more answers
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