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pshichka [43]
2 years ago
8

In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter  of the rectangle? (STEP BY STEP EXPLANATION)​

Mathematics
1 answer:
DerKrebs [107]2 years ago
3 0

Answer:

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

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The common factor would be 3 because 3 is the highest multiple of 15 and 9
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3 years ago
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The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y
goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}

Therefore,

tan \theta =\frac{x}{y}

Plugging values of \theta =30^o and x=36.25, we get

tan 30^o=\frac{36.25}{y}

Plugging value of tan 30^o=0.577 in above equation, we get

0.577=\frac{36.25}{y}

On multiplying both sides by y, we get

0.577\times y=\frac{36.25}{y}\times y

0.577y=36.25

Dividing both sides by 0.577, we get

\frac{0.577y}{0.577} =\frac{36.25}{0.577}

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>
3 0
2 years ago
Simplify 2 (8r2+r)-4r
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16r^2+ 2r -4r 16r^2 - 2r 2r ( 8r -1)
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Solve the equation below and find the variation constant, k .Find y when x = 7 and z=5, if y varies jointly as x and 2, and y= 1
Vlada [557]
<h3>Answers:</h3>

Variation Constant: k = 7/6

y = 245/6 when x = 7 and z = 5

====================================

Explanation:

"y varies jointly as x and z" means that y = kxz

We have (x,y,z) = (4,14,3) as one triple, so,

y = kxz

14 = k*4*3

14 = 12k

12k = 14

k = 14/12

k = 7/6 is the variation constant

The equation goes from y = kxz to y = (7/6)xz

----------------

Plug in x = 7 and z = 5 to find y

y = (7/6)xz

y = (7/6)*7*5

y = (7/6)*(7/1)*(5/1)

y = (7*7*5)/(6*1*1)

y = 245/6

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2 years ago
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Ksenya-84 [330]
(7 + i) - (6 - 2i) = 7 + i - 6 + 2i = 1 + 3i
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