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Katena32 [7]
2 years ago
8

Find the lateral and surface area of each cone

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}

Step-by-step explanation:

The formula of a lateral area of a cone:

L.A.=\pi rl

r - radius

l - slant height

The formula of a surface area of a cone:

S.A.=\pi r^2+\pi rl

We have r= 9mm and l = 17mm. Substitute:

L.A.=\pi(9)(17)=153\pi\ mm^2

S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2

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Write an equation in slope-intercept form then Graph. <br> 3x-6y=-12
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<h3><u>y = 1/2x + 2 is the given equation in slope-intercept form.</u></h3>

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Currently, this is in standard form.

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2 years ago
2 is divided by the difference of a number and 3.
Maurinko [17]

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2 years ago
A number is 6 less than its square. find all such numbers?
cestrela7 [59]
Hello There!

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3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
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