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enot [183]
3 years ago
14

What is the area of a regular pentagon with a side length of 9 millimeters and an apothem length of 6.2 millimeters?

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0
A Pentagon can be broken up into 5 equal triangles. Area of the Pentagon is the sum of all the 5 triangles.

Area of the pentagon = 5 ( 1/2 x 6.2 x 9) = 139.5 mm²

Answer: 129.5 mm² (Answer D)
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Please help im stuck on this question​
FrozenT [24]

Answer:

A

Step-by-step explanation:

Slope is the first y - the second y divided by the first x- the second x. Therefore we take -8-4= -12 and -7-0= -7. Using the formula, we get -12/-7. The negatives cancel out and we get 12/7 which is A.

3 0
2 years ago
What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

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

Unit: Differentiation

7 0
3 years ago
The diagonals of a rhombus measures 6cm and 8cm, what is the perimeter of this rhombus?
Kamila [148]
<h2><u>Diagram</u><u>:</u><u>-</u></h2>

\setlength{\unitlength}{1 cm}\begin{picture}(20,15)\thicklines\qbezier(1,1)(1,1)(6,1)\qbezier(1,1)(1,1)(1.6,4)\qbezier(1.6,4)(1.6,4)(6.6,4)\qbezier(6,1)(6,1)(6.6,4)\qbezier(6.6,4)(6.6,4)(1,1)\qbezier(1.6,4)(1.6,4)(6,1)\put(0.7,0.5){\sf A}\put(6,0.5){\sf B}\put(1.4,4.3){\sf D}\put(6.6,4.3){\sf C}\end{picture}

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

The diagonals of the Rhombus= d1 & d2=6cm and 8cm

Let the Side=a

As we know that in a Rhombus

{\boxed{\sf side=\sqrt {\left ({\dfrac{d1}{2}}\right)^2+\left ({\dfrac {d2}{2}}\right)^2}}}

  • Substitute the values

{:}\longmapsto\sf a=\sqrt {\left ({\dfrac {6}{2}}\right)^2+\left ({\dfrac {8}{2}}\right)^2 }

{:}\longmapsto\sf a=\sqrt {(3)^2+(4)^2}

{:}\longmapsto\sf a=\sqrt {9+16}

{:}\longmapsto\sf a=\sqrt{25}

{:}\longmapsto\sf a=5cm

<h2>_____________</h2><h3>Again </h3>

we know that in a Rhombus

\boxed{\sf Perimeter=4a}

  • Substitute the values

{:}\longmapsto\sf Perimeter=4×5

{:}\longmapsto\sf Perimeter=20cm

\thereforePerimeter of the rectangle is 20cm.

5 0
2 years ago
Use compatible numbers to estimate the quotient. <br> 522 divided by 6 please help!!!
Paladinen [302]
The compatible numbers are 5220 and 60 because 522/6 = 87

I GUESS I AM RIGHT AND I REALLY HOPE THIS HELPS!!!!
3 0
3 years ago
Read 2 more answers
What exactly is infinity? How far is it? I know it goes on forever, but does it stop? Have people ever counted so high?
defon

Infinity would be consider as an Unsolved problem it doesn't have an answer it Like an decimal that doesn't stop.

Example 0.3333333333333333333

6 0
2 years ago
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