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dangina [55]
3 years ago
6

One leg of a 45°-45°-90° triangle measures 9sqrt2 inches. What is the length of the hypotenuse?

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0
We know that
a=9√2
b=9√2
a=b---------- <span>for having both angles of 45</span>
c²=a²+b²-------> (9√2)²+(9√2)²------>(324)-----------> c=√324=18


the answer is the option A 18 inches
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<em>600.1</em>

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4 years ago
1. 8 + 2×=17 x=<br> 2. 2/7x +4 =8
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3 years ago
Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=
alex41 [277]

Answer:

e^x+xy+3y+(y-1)e^y=4

Step-by-step explanation:

Given that

(e^x+y)dx+(3+x+ye^y)dy=0

Here

M=e^x+y

N=3+x+ye^y

We know that

M dx + N dy=0 will be exact if

\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}

So

\frac{\partial M}{\partial y}=1

\frac{\partial N}{\partial x}=1

it means that this is a exact equation.

\int d\left(e^x+xy+3y+(y-1)e^y\right)=0

Noe by integrating above equation

e^x+xy+3y+(y-1)e^y=C

Given that

x= 0 then y= 1

e^0+0+3+(1-1)e^1=C

C=4

So the our final equation will be

e^x+xy+3y+(y-1)e^y=4

3 0
3 years ago
The price of an item has risen to 221 today. yesterday it was 139. Find the percentage increase
alexgriva [62]

Answer:

Approx. 59% increase.

Step-by-step explanation:

Today - 221

Yesterday - 139

difference (today - yesterday) = 82

How to find percent:

((part)/(whole)) = ((x)/(100))

In this case, the part is the difference, and the whole is the value of an item yesterday, so the equation is:

82/139 = x/100

cross multiply

8200 = 139x

Inverse operations

8200 = 139x

/139       /139

8200/139 = x

approx. 59 = x

4 0
2 years ago
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