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3 years ago

When baking a cake, you have a choice of the following pans:

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

Rectangular cake. I believe

STALIN [3.7K]3 years ago

6 0

Answer:

round cake - 82.42 in^2

rectangular cake - 114 in^2

Round cake:

d = 7 in

r= d/2 = 7 in /2 = 3.5 in

h = 2

The surface area of a cylinder is: A = 2pie r^2 + 2pie rh The surface are of the round cake (cylindrical cake) excluding the bottom is

Area = 2pie r^2 + 2pie rh - pie r^2

Area = pie r^2 + 2pie rh

Area = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in^2

Rectangular cake:

w = 6 in |= 9 in h = 2 in

The surface area of a rectangle

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2* 6 * 2 +2 *9 * 2

= 54 + 24 +36

= 114 in^2

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3 years ago

What is the 4th term of the expanded binomial (2x – 3y)^6

san4es73 [151]

Answer:

The 4th term of the expanded binomial is $-4320x^3y^3$

Step-by-step explanation:

Considering:

$(x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k}y^k$

$(2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k} (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of $k$

$(2x-3y)^6 = \binom{6}{0} (2x)^{6-0}(-3y)^0 + \binom{6}{1} (2x)^{6-1}(-3y)^1 + \binom{6}{2} (2x)^{6-2}(-3y)^2 + \\$

$\binom{6}{3} (2x)^{6-3}(-3y)^3 + \binom{6}{4} (2x)^{6-4}(-3y)^4 + \binom{6}{5} (2x)^{6-5}(-3y)^5 + \binom{6}{6} (2x)^{6-6}(-3y)^6$

I will not write every product, but just solve following the steps:

For $k=0$

$\binom{6}{0} (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)} (2x)^{6-0}(-3y)^0$

$\frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

$64x^6$

$(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6$

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3 years ago

Matthew drove 74 miles in 2 hours. On average,how fast did he drive in hours per mile?

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Answer:

37 mph

Step-by-step explanation:

Step 1:

74 ÷ 2

Answer:

Hope This Helps :)

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4 years ago

Which of the following is the solution to 17 - 2x = -11?<br> -14<br> -3<br> 3<br> 14

mr Goodwill [35]

14 because - 11-17=-28. If you divide -28 by -2x you get 14

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3 years ago

Read 2 more answers

jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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