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Ilia_Sergeevich [38]
3 years ago
15

a pair of adjacent side of a rectangle are in the ratio 3 : 4 if its diagonal is 20 cm find the length of sides and hence the pe

rimeter of the rectangle ​
Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

Step-by-step explanation:

Ratio=3:4

so,the pair of adjacent sides are 3x,4x

Pythagorean theorem,

(3x)^{2}+(4x)^{2}=20^{2}\\9x^{2}+16x^{2}=400\\\\25x^{2}=400\\\\x^{2}=\frac{400}{25}\\\\ x^{2}=16\\\\x=\sqrt{16}\\\\x=4\\\\length=4x=4*4=16cm\\\\breadth=3x=3*4=12cm\\\\Perimeter=2*(l+b)\\\\=2*(16+12)=2*28\\\\=56cm

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Simple interest doesn't compound, so we just find the interest she needs by dividing 4,000 by 8, and then divide that number by her principal to find the rate of interest. 

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3 years ago
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1 o
jarptica [38.1K]

Point B is a solution to the system of inequalities  

<h3>Further explanation  </h3>

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates  

General formula  

\large{\boxed{\bold{y-y_1=m(x-x_1)}}

or  

y = mx + c  

Where  

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x1, y1 = the Cartesian coordinate that is crossed by the line  

c = constant  

The formula for a gradient (m) between 2 points    

\large{\boxed{\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}}

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:  

ax + by = c

It says inequality if there are symbol forms like <, >, ≤ or ≥  

Whereas linear inequality can have forms:  

ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c  

In graphical form, line inequality can be  

• dashed line because y does not include equals to  

• a solid line because y includes equal to  

For line inequality (positive coefficient y)  

ax + by ≥ c then the solution is shaded upwards  

ax + by ≤ c then the solution is shaded down  

(Picture attached)

The line :

\displaystyle y>-2x+10

intersect x-axis at point : 5,0

Intersect y-axis at point : 0,10

And the solution  is shaded upwards  

\displaystyle y=\frac{1}{2}x-2

intersect x-axis at point : 4,0

Intersect y-axis at point : 0,-2

And the solution  is shaded upwards  

And the point located in the shaded plane of the two inequality is point B and I

<h3>Learn more</h3>

Linear inequality represented by the graph

brainly.com/question/9909671

Keywords: linear inequality,graph

#LearnWithBrainly

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Step-by-step explanation:

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Answer:[7,2]

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