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lutik1710 [3]
3 years ago
11

Apothem = (the answer is a sqaure root)

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

\sqrt{20}

Step-by-step explanation:

To find the Apothem of a shape, we need to find how long the distance is from a vertex to the center of the shape.

We can see that they've already showed us how to do it: We need to find the length of the hypotenuse of the red triangle.

To do this, we can use the Pythagorean Theorem, which states that a^2 + b^2 = c^2.

We know that a is going to be half of 4, which is 2. We also know that b is going to be 4, so we can substitute inside the equation.

2^2 + 4^2 = c^2\\\\4 + 16 = c^2\\\\20=c^2\\\\c=\sqrt{20}

Hope this helped!

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PLEASE HELP ME WITH THSE TWOOO
tigry1 [53]

Answer:

11

-4.3

Step-by-step explanation:

-14-(-25)

-14+25                          subracting a is adding

25-14=11            

-12.5-(-8.2)

-12.5+8.2

8.2-12.5=-4.3

3 0
3 years ago
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Circle O has a circumference of 88π cm.
Lena [83]

Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0
3 years ago
The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
3 years ago
A clothing shop ordered 240 t-shirts. 20% of the shirts are Smalls. How
inessss [21]

Answer:

The answer is 48 small shirts ordered

Step-by-step explanation:

4 0
3 years ago
PLEASE ANSWER + BRAINLIEST!!!
ozzi

Answer:

C is correct

Step-by-step explanation:

Given: System of linear inequality

y

y\geq 2x+3

First we will draw the graph of system of equation and then see the correct option.

Equation 1: y

We will make the table.

 x :  -2    0     2

 y :   1     0    -1

Test Point: (0,4)

0<-2 ( False )

Shaded area away from (0,4)

Equation 2:y\geq 2x+3

We will make the table.

 x :  -2    0     2

 y :  -1     3    7

Test Point: (0,4)

4≥3 ( True )

Shaded area towards (0,4)

Please see attachment for graph.

Hence, C is common shaded area (region)

8 0
3 years ago
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