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2 years ago

Solve V = 1/3(3.14)r^2h for h

Mathematics

2 answers:

Ber [7]2 years ago

7 0

V = 1/3(3.14)r^2h
=1.046r^2h

Solving for V

Oksi-84 [34.3K]2 years ago

3 0

V=1.046r2h

With a mine over the 6

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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m

Flauer [41]

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter: p = (51+37+20):2 = 54 m

Area of triangle:

$A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2$

Rate: ₹ 3 per m².

Cost: ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm ⇒ 2b = 6 cm ⇒ b = 3 cm

p = 11:2 = 5.5

$A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2$

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

$A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2$

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm ⇒ 8x = 32 cm ⇒ x = 4 cm ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

$A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2$

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2 years ago

Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?

kykrilka [37]

Answer:

1.70

Step-by-step explanation:

15.30 ÷ 9 = 1.70

1.70 dollars per chicken wing

I hope this helps

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3 years ago

When 6x² - 4x+3 is subtracted from 3x²–2x+3, the result is

mr_godi [17]

Let's subtract then: 3x2 - 2x + 3 - (6x2 - 4x + 3)

taking out of the bracket with a changed sign: (there is a minus in front of the bracket)

3x2 - 2x + 3 - 6x2 + 4x - 3
let's reshuffle them so that similar terms are together:
3x2 - 6x2 - 2x + 4x + 3 - 3

Adding up similar terms:

-3x2 + 2x - that's our option 2!

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2 years ago

I next help on the polynomial

slamgirl [31]

Answer:

u just have to cross multiply im pretty sure thats how my math teacher show me,

Step-by-step explanation:

first you take the one x over to the other x and that will make it 2x then do the same thing with -10 u do -10 times 10 and then u get -100 and then the answer is 2x-100 and depending on your teach if he/she wants you to stop their then u can but if u have to got further then u would divide 2 on both sides and then that would be 0.02

this is how my teacher showed us how to do it and i hope this helps you a lot and if it dont im sorry i tried for you!!!

have a nice day Hun

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3 years ago

Tìm nghiện của đa thức A.x-2 B.2x-7 C.(X-4)*(2-3X

Vitek1552 [10]

Answer:

make me brainlest if you copy okay

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2 years ago