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AnnyKZ [126]
3 years ago
13

A kite has 4 equal sides. If 5 was added to each side, the new perimeter will be 56 inches. Find the side length of the original

kite.
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

9 inches

Step-by-step explanation:

The original side length of the kite was 9 inches because as the perimeter was 56 inches if 5 inches was added to each side, 5x4=20, and 56-20=36. The perimeter of the original kite is 36 inches, and as it has 4 equal sides, 36 divided by 4=9 inches per side. Hope it helps!

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

7 0
2 years ago
How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead
uysha [10]

Answer:

35

Step-by-step explanation:

all are obeying a constant ratio

  • copper 81
  • tin 14⇒?
  • lead 5
  • total 100 ⇒250
  • ?=250*14/100=35
5 0
2 years ago
Read 2 more answers
The sum of two numbers is 31.The product of the two numbers is 150. What are the two numbers?
Nikolay [14]
The two numbers I will call x and y.
x + y = 31
x * y = 150

You then solve for one variable in either equation and substitute it into the other equation.

x + y = 31
x = 31 - y

Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0            Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0        y - 25 = 0
y = 6             y = 25

When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
5 0
3 years ago
What is 168 cm in feet
NeTakaya

5.51181 in feet. Hope this helps

3 0
2 years ago
Read 2 more answers
PLEASE ANSWER!!! A certain transformation moves a line segment as follows: Pt. A (2, 1) moves to A' (2, -1) and Pt. B (5, 3) to
worty [1.4K]

Answer: I believe this is a reflection

Step-by-step explanation: I think this is a reflection because the points are flipping to the exact opposite y coordinate.

Hope this helps.

3 0
3 years ago
Read 2 more answers
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