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3 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Mathematics

1 answer:

harina [27]3 years ago

8 0

Answer:y=15/4

Step-by-step explanation:

start with general form y = kx. substitute in the pair of values you know for x and y.

75/8 = k(5) multiply both sides by 1/5 to solve for k, getting

15/8 = k

So your equation is y = (15/8)x substitute 2 for x to find your new y.

y = (15/8)2

y = 15/4

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3 years ago

Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.

kherson [118]

<h3><u>Answer :- </u></h3>

The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

The slant height of the cone = 21m.
Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

π = 22/7
r = Radius ( radii )..
L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

$= \frac{22}{7} \times 12 \times (12 + 21)$

$= \frac{22}{7} \times 12 \times 33$

$= (22 \times 12 \times 33) \div 7$

$= (726 \times 12) \div 7$

$= 8712 \div 7$

$= 1244.57 {m}^{2}$

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

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