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Nady [450]
2 years ago
8

Find the length of the midsegment of each trapezoid. 12)

Mathematics
1 answer:
larisa [96]2 years ago
6 0

Answer: 25

Step-by-step explanation:

\frac{23+27}{2}=\boxed{25}

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How do you solve for the segment area in a circle?
Aleks04 [339]
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = <span> <span> <span> 209.4395102393 </span> </span> </span>

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412 </span> </span> </span>
triangle DEF Area = <span> <span> <span> 173.206 </span> </span> </span>

segment area = <span> <span> 209.4395102393 </span> -173.206
</span>
segment area = <span> <span> <span> 36.2335102393 </span> </span> </span>
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm



6 0
3 years ago
The midpoint of KL is M (-8,1). One endpoint is K (-6,5) find the coordinates of the other endpoint L
PSYCHO15rus [73]

Answer:

Midpoint (x , y) of two points is

( x1 + y1/2 , x2 + y2/2)

Midpoint of KL is M ( -8 , 1)

Let the coordinates of L be ( a , b)

From the above definition

Midpoint between K(-6 , 5) and

L ( a ,b) is

(-8 , 1) = ( -6+a/2 , 5+b/2)

Comparing first point with - 8

- 8 = -6 + a /2

Multiply through by 2

We get

-16 = - 6 + a

a = -16+6

a = - 10

Comparing the second point with 1

1 = 5+b/2

Multiply through by 2

2 = 5 + b

b = 2 - 5

b = -3

Therefore a = -10 and b = - 3

Hence the coordinates of

L is ( -10 , - 3)

Hope this helps

3 0
3 years ago
Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.
Triss [41]

Answer:

Initial temperature;

432.76

Common ratio;

-0.067

Equation;

y=432.76e^{-0.067x}

Step-by-step explanation:

In this scenario, the time in minutes represents the independent variable x while the temperature of the pizza represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial temperature we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

6 0
2 years ago
Lim (x+1) (3x^2-9)<br> X2
mafiozo [28]

Answer:

\lim_{x \to 2} (x+1)(3x^2-9) = 9

Step-by-step explanation:

Step 1: Write out limit

\lim_{x \to 2} (x+1)(3x^2-9)

Step 2: Evaluate

(2 + 1)(3(2)² - 9)

3(3(4) - 9)

3(12 - 9)

3(3)

9

5 0
3 years ago
2!7! Divided by 4!8! Simplified
Molodets [167]

Answer:

2/7 divided by 4/8 = 0.57142857142

3 0
3 years ago
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