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2 years ago

The diagonals of a rhombus are 30cm and 16cm. Find its area, the length of a side and its perimeter.

Mathematics

2 answers:

Bad White [126]2 years ago

8 0

Answer:

Step-by-step explanation:

$\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;$

Free_Kalibri [48]2 years ago

5 0

Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

${15 }^{2}$ + ${8}^{2}$ = ${side}^{2}$ $\sqrt{289 = side}$

side = 17

Perimeter = 4×17 =68 cm.

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Answer:

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Step-by-step explanation:

Complete table as obtained online

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Expected value is given as

E(X) = Σ xᵢpᵢ

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E(X) = (8×0.1) + (6×0.4) + (4×0.2) + (2×0.1) + (0×0.1) + (-2×0.1) = 4 ¢ per dozen

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Expected profit on 15,000 dozen eggs = 15000 × 4 = 60,000 ¢

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3 years ago

The angle measures of a triangle are (6x + 6)°, (8x - 8)°, and (12x)°. The triangle can be classified as?

Aleks [24]

Answer:

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Step-by-step explanation:

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Answer:

(8, -8)
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Step-by-step explanation:

The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...

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_____

<em>Comment on side lengths</em>

When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.

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2 years ago

The diagonals of a rhombus are 30cm and 16cm. Find its area, the length of a side and its perimeter.​

The diagonals of a rhombus are 30cm and 16cm. Find its area, the length of a side and its perimeter.