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3 years ago

Will give brainliest

Mathematics

2 answers:

Elanso [62]3 years ago

6 0

Answer:

18 pi

Step-by-step explanation:

hop this helps

dmitriy555 [2]3 years ago

4 0

Answer:

Step-by-step explanation:

Given, 

Radius of the cylinder = 3cm

Height of the cylinder = 3cm

Therefore, 

Lateral surface area of the cylinder

$= 2\pi rh$

$= 2\pi \times 3 \times 3 {cm}^{2}$

$= 2\pi \times 9 {cm}^{2}$

$= 18\pi {cm}^{2}$

Hence,

The required value in the green box will be 18 (Ans)

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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.

Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

$A=\frac{bh_b}{2}$

$h_b=\sqrt{a^2-\frac{b^2}{4} }$

There are 2 solutions for $b$

$b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }$ ≈ $10cm$ $b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm$

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

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NeTakaya

Answer:

y = 4

Step-by-step explanation:

A line parallel to the x-axis has the same value of the dependent variable (y) for all the values of the independent variable (x). Hence, the line would be an horizontal line that passes through the y-axis and never meets the x-axis. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.

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