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Advocard [28]
3 years ago
9

Special Parallelograms

Mathematics
1 answer:
mash [69]3 years ago
6 0
Solving for the missing variable
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How do you do this problem? Please explain.
horrorfan [7]

Answer:  8.632

<u>Step-by-step explanation:</u>

First, you need to find the length of AE. Since ΔAEC is a right triangle, we can use:

sin\ C=\dfrac{AE}{AC}\\\\\\sin\ 50 = \dfrac{AE}{5}\\\\\\5\ sin\ 50=AE\\\\3.83=AE

Next, Use Heron's formula to find the Area of ΔADE.

  • AE = 3.83
  • ED = 6
  • AD = 9

Heron's formula is:

A=\sqrt{s(s-a)(s-b)(s-c)}\quad \text{where}\ s = \dfrac{a+b+c}{2}\\\\s=\dfrac{AE+ED+AD}{2}=\dfrac{3.83+6+9}{2}=\dfrac{18.83}{2}=9.415\\\\A=\sqrt{9.415(9.415-3.83)(9.415-6)(9.415-9)}\\\\.\quad=\sqrt{9.415(5.585)(3.415)(0.415)}\\\\.\quad=\sqrt{74.519}\\\\.\quad=8.632

5 0
3 years ago
Which statements are truth about exponential decay and functions ? Check all that apply
Alex787 [66]

there is not enough information

8 0
3 years ago
What is x? I have been having trouble with these
Wittaler [7]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) =   (whole secant) x (external part)

(6+x) * 6 =(5+x+3) *5

(6+x) * 6 =(x+8) *5

Distribute

36+6x = 5x+40

Subtract 5x from each side

36+6x-5x = 5x-5x+40

36+x = 40

Subtract 36 from each side

36+x-36 = 40-36

x = 4

3 0
3 years ago
The average rate of change of a function f(x) = x2 between x = 3 and x = 9 is
masya89 [10]

Answer:

12.

Step-by-step explanation:

Average rate of change = (value of the function when x = 9 - value when x=3)

/

(9 - 3)

= f(9) - f(3) / (9-3)

= (9^2 - 3^2) / (9-3)

= 72 / 6

=  12.

6 0
3 years ago
A circle with area 9pi has a sector with a central angle of 60 degrees What is the area of the sector ?
belka [17]

Area of the sector is 4.71 sq units

Step-by-step explanation:

  • Step 1: Area of the sector = Area of the circle × (C/360) where C is the central angle.

Area of the sector = πr²(C/360) = 9π × 60/360

                            = 9 × 3.14 × 1/6

                            = 28.26/6 = 4.71 sq units

4 0
4 years ago
Read 2 more answers
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