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Zina [86]
3 years ago
6

Use a net to find the total surface of the prism.

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

6682.5cm

Step-by-step explanation:

29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5

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-<br> Solve for n.<br> - - - -<br> 49n = 14
Darina [25.2K]

Answer: 3.5

Step-by-step explanation: divide 49 by 14

3 0
3 years ago
Read 2 more answers
Ken has read 1/3 of his book what fraction of his book is left to read?​
Stells [14]

Answer:

2/3

Step-by-step explanation:

fraction of book already read = 1/3

fraction which represents whole book = 1 = 3/3

fraction of remaining book = fraction of whole book - fraction of book already read

= 1 - 1/3

= 3/3 - 1/3

= (3-1) /3

= 2/3

8 0
3 years ago
What is the sum of the measures of interior angles ofna regular polygon if each exterior angle measures 72°?
WARRIOR [948]
We know that

The exterior angle measures of a polygon must add up to 360°, 

therefore

 360°/72°=5 exterior angles

so

5 exterior angles, would mean 5 interior angles and therefore  5 sides to the polygon

The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.

exterior angle+interior angle=180°

interior angle=180°-exterior angle

interior angle=180°−72°-------> 108°
Each interior angle is 108°

The sum of the interior angles would be 

5*108°=540°

the answer is

540°

5 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
3 years ago
Rewrite the product in exponential form: a.a.a.b.b.b.b
nikitadnepr [17]
It would be a³ b ^4.

Hope This Helps You!
Good Luck Studying :)
8 0
3 years ago
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