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dem82 [27]
4 years ago
6

The diagonals of a rhombus are 12 cm and 7 cm. Find the size of the smaller angle of the rhombus

Mathematics
1 answer:
photoshop1234 [79]4 years ago
8 0
The diagonals of a rhombus intersect each other at the midpoints and they are also perpendicular . So  at the smallest  angle  we have a right angled triangle with legs 6 and 3.5. Also this smallest angle  (x) is bisected by the diagonal. 
so we have:-

tan (x/2)  =  3.5 / 6

x/2 =  30.256 degrees

x = 60.51  degrees to nearest hundderth
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Answer:

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Step-by-step explanation:

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
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3 years ago
The Environmental Protection Agency records data on the fuel economy of many different makes of cars. Data on the mileage of 20
artcher [175]

Answer:

A) 8.5 miles per gallon

Step-by-step explanation:

Given

x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}

n = 20

Required

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This is calculated as:

IQR = Q_3 - Q_1

Calculate Q_1

Q_1 = \frac{1}{4}(n + 1)th

Q_1 = \frac{1}{4}(20 + 1)th

Q_1 = \frac{1}{4}(21)th

Remove bracket

Q_1 = 5.25th

This means that:

Q_1 is the mean of 5th and 6th item

From the given data:

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6th \to 17

So, we have:

Q_1 = \frac{1}{2}(16 + 17)

Q_1 = \frac{1}{2}(33)

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Calculate Q_3

Q_3 = \frac{3}{4}(n + 1)th

Q_3 = \frac{3}{4}(20 + 1)th

Q_3 = \frac{3}{4}(21)th

Remove bracket

Q_3 = 15.75th

This means that:

Q_3 is the mean of 15th and 16th item

From the data:

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16th \to 26

So:

Q_3 = \frac{1}{2}(24 + 26)

Q_3 = \frac{1}{2}(50)

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7 0
3 years ago
What is the answer to x over 12=27?
Black_prince [1.1K]
324=x
X/12=27 so you multiply both sides by 12
So 12*27=324=x
6 0
3 years ago
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