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allsm [11]
3 years ago
5

In a right triangle a=2b+4 and all side lengths are integers. The possible values for b are 4cm, 5cm, 8cm,10cm,12cm,and 24cm. De

termine the values for a,b, and c. For the right triangle, a is ______cm long, b is _________cm long, and c is __________cm long. Create a similar triangle with different side lengths. Draw and label the side lengths.

Mathematics
1 answer:
grigory [225]3 years ago
6 0
A) The values for (a, b, c) are (24 cm, 10 cm, 26 cm).

b) A similar triangle is one with sides 12 cm, 5 cm, and 13 cm.

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Will give brainliest for right answer!!
Katen [24]

Answer:

3012 books

Step-by-step explanation:

Let y = number of books produced and sold  

Total cost = Fixed cost + Variable cost = 32379 + 10.75*y  

Total sales = 21.50*y  

Set these equal to each other and solve for y

 

21.50*y = 32379 + 10.75*y

10.75*y = 32379

B = 3012

 

The publisher must produce and sell 3012 books.

3 0
2 years ago
Find the solution of the initial value problem y Superscript prime prime Baseline plus 4 y Superscript prime Baseline plus 5 y e
sergiy2304 [10]

Answer:

y(t) =  - 5 {e}^{2\pi - 2t} \cos(t)

Step-by-step explanation:

The given initial value problem is

y''+4y'+5=0

y( \frac{ \pi}{2} ) = 0

y'( \frac{ \pi}{2} ) = 5

The corresponding characteristic equation is

{m}^{2}  + 4m + 5 = 0

m =  - 2 \pm \: i

The general solution becomes:

y(t) = A {e}^{ - 2t}  \cos(t)  +  B {e}^{ - 2t}  \sin(t)

We differentiate to get:

y'(t) =  - A {e}^{ - 2t}  \sin(t)  - 2 A {e}^{ - 2t}  \cos(t)  + B {e}^{ - 2t} \cos(t)   - 2B {e}^{ - 2t}  \sin(t)

We apply the initial conditions to get;

y( \frac{\pi}{2} ) = A {e}^{ - 2\pi}  \cos( \frac{\pi}{2} )  +  B {e}^{ - 2\pi}  \sin( \frac{\pi}{2} )

A {e}^{ - 2\pi} (0 )  +  B {e}^{ - 2\pi}  ( 1)  = 0

B  = 0

Also;

y'( \frac{\pi}{2} ) =  - A {e}^{ - 2\pi}  \sin( \frac{\pi}{2} )  - 2 A {e}^{ - 2\pi}  \cos( \frac{\pi}{2} )  + B {e}^{ - 2\pi} \cos( \frac{\pi}{2} )   - 2B {e}^{ - 2\pi}  \sin( \frac{\pi}{2} )

- A {e}^{ - 2\pi} ( 1 )  - 2 A {e}^{ - 2\pi} ( 0 )  + B {e}^{ - 2\pi}( 0)   - 2B {e}^{ - 2\pi} ( 1 )  = 5

- A {e}^{ - 2\pi}     - 2B {e}^{ - 2\pi} = 5

But B=0

- A {e}^{ - 2\pi}  = 5

A = 5{e}^{2\pi}

Therefore the particular solution is

y(t) =  - 5 {e}^{2\pi} {e}^{ - 2t}  \cos(t)  +  0 \times {e}^{ - 2t}  \sin(t)

y(t) =  - 5 {e}^{2\pi - 2t} \cos(t)

4 0
4 years ago
What are the solutions of the inequality? Check the solutions. 4x + 6 < –6
svet-max [94.6K]
The given inequality is:
4x + 6 < -6
Subtract 6 from both sides and the divide both sides by 4 to get the solution as follows:
4x + 6 < -6
4x + 6 - 6 < -6 -6
4x < -12
4x/4 < -12/4
x < -3

hope this helps :)
6 0
3 years ago
Read 2 more answers
A store pays$66 for a model solar system and marks the price up by 20%. What is the amount of the mark-up?
Luba_88 [7]
<h2>They mark-up the price by <u>$13.20</u></h2><h3>The new price is $79.20 (If you need that information)</h3><h3><u /></h3><h3>66 x 0.20 = 13.20</h3><h3>The new price:</h3><h3>13.20 + 66 = 79.20</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
4 0
3 years ago
Please help me with Pizzazz pg. 54
hodyreva [135]

Answer:

sorry it took sooooo long... lol

Step-by-step explanation:

6 0
3 years ago
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