Find the surface area of the prism.

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Find the area of every side and add them up.

2(447*413) + 2(413*729) + 2(447*729) = 1623102 ft2

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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.

DedPeter [7]

Answer:

80x⁴

Step-by-step explanation:

$(\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2$

$+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5$

$5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\$

$5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}$

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

6 0

3 years ago

It’d be a great help if someone could help me with the 4 practice problems (-,b,c & d)

natima [27]

Answer:

idk thats tough

Step-by-step explanation:

4 0

3 years ago

Hey you!<br><br> I think I need your help with this one - Thanks~

timofeeve [1]

Hey Gary!

The volume of a cylinder is PiR^2h, or 3.14(r^2)h.
Let's define our measures.
Pi is 3.14 (simplified). However, our answer is requested in terms of Pi.
Our radius is 5.
Our height is 14.
Let's plug in our numbers.

5^2 • 14 • Pi
5^2 = 25
25 • 14 = 350.

350Pi is our answer.
However, rememver that we need to end our answer in units cubed, as we are using a 3-dimensional figure. Our answer is 350Pi in^3.
Your answer is B.)

I hope this helps!

5 0

3 years ago

Read 2 more answers

Find the angle that is complementary to the angle of 22 degrees

scZoUnD [109]

The angle that is complementary to the angle of 22 degrees is the angle of 68 degrees. This is because when you add the two values, their sum equals 90 degrees.

5 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST 5 STARS AND THANKS

Lesechka [4]

You have to do the math right to get this right. so just add then multiply add them the subtract

5 0

3 years ago