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evablogger [386]
3 years ago
11

Find the area of the kite

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer: 10.5 sq. units

Step-by-step explanation:

Equation for kite: (p x q)/2

First, p = 3 and q = 7, so 3 x 7 = 21.

Next, 21 divided by 2 is our equation. Our answer for this equation would be 10.5.

Finally, add the correct unit measurement which would be “sq. units” in this case.

Hope this helps!

ki77a [65]3 years ago
3 0

Answer:

10.5 square units

Step-by-step explanation:

A=\frac{pq}{2} =\frac{3*7}{2}=10.5m^2

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7 1/6 times 3/4 is??
Paladinen [302]

Answer:

7\frac{1}{8}

Step-by-step explanation:

Multiply across.

(7\frac{1}{6})(\frac{3}{4})=7\frac{3}{24}

Then Simplify.

7\frac{3}{24}=7\frac{1}{8}

8 0
3 years ago
Convert 1/15 into a decimal correct to 2 decimal places ​
Citrus2011 [14]

Answer:

\frac{1}{15} = 0.\overline{66}

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

\frac{1}{15} = 0.xx

2) We multiply the numerator by 10 and find the tenth digit:

\frac{10}{15} = 0

Then,

\frac{1}{15} = 0.0xx

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

\frac{100}{15} = 6

Then,

\frac{1}{15} = 0.66x

And the remainder is:

r = 100-15\times 6

r = 10

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

\frac{100}{15} = 6

Then,

\frac{1}{15} = 0.666

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

\frac{1}{15} = 0.\overline{66}

3 0
2 years ago
Mr. Cooper purchased a night stand
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Answer:

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31050 = 36(28)w

31050 = 1008w

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Step-by-step explanation:

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6 0
3 years ago
Evaluate the double integral. . ∫∫ y sqrt(x^2-y^2) dA, R={(x,y)|0≤y≤x, 0≤x≤1}. R. . Please explain
polet [3.4K]
First we will evaluate: ( substitution: u = x² - y²,  du = - 2 y dy )
\int\limits^x_0 {y \sqrt{ x^{2} - y^{2} } } \, dy= \\   \frac{-1}{2} \int\limits^x_0 { u^{1/2} } \, du  =
=\frac{-1}{3} \sqrt{ (x^{2} - y^{2} ) ^{3} } ( than plug in x and 0 )
=- \frac{1}{3} (  \sqrt{( x^{2} - x^{2}) ^{3}  }  -  \sqrt{ (x^{2} -0 ^{2} ) ^{3} } =
= 1/3 x³ ( then another integration )
1/3\int\limits^1_0 { x^{3} } \, dx = 1/3 (  x^{4}/4)}= 1/3 ( 1 ^{4}/4 - 0^{4} /4 )
= 1/3 * 1/4 = 1/12
4 0
3 years ago
Solve for y where y(2)=2 and y'(2)=0 by representing y as a power series centered at x=a
Crank

I'll assume the ODE is actually

y''+(x-2)y'+y=0

Look for a series solution centered at x=2, with

y=\displaystyle\sum_{n\ge0}c_n(x-2)^n

\implies y'=\displaystyle\sum_{n\ge0}(n+1)c_{n+1}(x-2)^n

\implies y''=\displaystyle\sum_{n\ge0}(n+2)(n+1)c_{n+2}(x-2)^n

with c_0=y(2)=2 and c_1=y'(2)=0.

Substituting the series into the ODE gives

\displaystyle\sum_{n\ge0}(n+2)(n+1)c_{n+2}(x-2)^n+\sum_{n\ge0}(n+1)c_{n+1}(x-2)^{n+1}+\sum_{n\ge0}c_n(x-2)^n=0

\displaystyle\sum_{n\ge0}(n+2)(n+1)c_{n+2}(x-2)^n+\sum_{n\ge1}nc_n(x-2)^n+\sum_{n\ge0}c_n(x-2)^n=0

\displaystyle2c_2+c_0+\sum_{n\ge1}(n+2)(n+1)c_{n+2}(x-2)^n+\sum_{n\ge1}nc_n(x-2)^n+\sum_{n\ge1}c_n(x-2)^n=0

\displaystyle2c_2+c_0+\sum_{n\ge1}\bigg((n+2)(n+1)c_{n+2}+(n+1)c_n\bigg)(x-2)^n=0

\implies\begin{cases}c_0=2\\c_1=0\\(n+2)c_{n+2}+c_n=0&\text{for }n>0\end{cases}

  • If n=2k for integers k\ge0, then

k=0\implies n=0\implies c_0=c_0

k=1\implies n=2\implies c_2=-\dfrac{c_0}2=(-1)^1\dfrac{c_0}{2^1(1)}

k=2\implies n=4\implies c_4=-\dfrac{c_2}4=(-1)^2\dfrac{c_0}{2^2(2\cdot1)}

k=3\implies n=6\implies c_6=-\dfrac{c_4}6=(-1)^3\dfrac{c_0}{2^3(3\cdot2\cdot1)}

and so on, with

c_{2k}=(-1)^k\dfrac{c_0}{2^kk!}

  • If n=2k+1, we have c_{2k+1}=0 for all k\ge0 because c_1=0 causes every odd-indexed coefficient to vanish.

So we have

y(x)=\displaystyle\sum_{k\ge0}c_{2k}(x-2)^{2k}=\sum_{k\ge0}(-1)^k\frac{(x-2)^{2k}}{2^{k-1}k!}

Recall that

e^x=\displaystyle\sum_{n\ge0}\frac{x^k}{k!}

The solution we found can then be written as

y(x)=\displaystyle2\sum_{k\ge0}\frac1{k!}\left(-\frac{(x-2)^2}2\right)^k

\implies\boxed{y(x)=2e^{-(x-2)^2/2}}

6 0
3 years ago
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