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3 years ago

Find the areas of the trapezoids.

Mathematics

2 answers:

LenKa [72]3 years ago

6 0

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the height and a, b the parallel bases

Here h = OS = 3, a = OC = 5 and b = SK = 2, thus

A = 0.5 × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

geniusboy [140]3 years ago

4 0

Answer:

Step-by-step explanation:

a = 2 units

b = 5 units

height (h) = 3 units

$Area=\frac{(a+b)*h}{2}\\\\=\frac{(2+5)*3}{2}\\\\=\frac{7*3}{2}=\frac{21}{2}\\\\=10.5square units$

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3 years ago

Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27

BabaBlast [244]

Answer:

See attachment

Step-by-step explanation:

The given data set is 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

We sort the data in ascending order to get:

18,19,20,21,24,25,26,27,30,31,32,33,36,36,38

The median is the middle number after sorting , which 27

The minimum value is 18

The maximum value is 38

The first quartile is the median of 18,19,20,21,24,25,26

$Q_1=21$

The third quartile is the median of 30,31,32,33,36,36,38

$Q_3=33$

The interquartile range is 33-21=12

The boxplot is shown in the attachment

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4 years ago

Use completing the square to rewrite the equation in the form (x-h)^2 +(y-k)^2 = r^2. State the center (h, k) and radius r of th

Lisa [10]

Answer:

The equation is (x + 1)^2 + (y + 2)^2 = 15

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Step-by-step explanation:

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