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Llana [10]
3 years ago
7

Which of the following sets of numbers could be the lengths of the sides of a triangle?

Mathematics
1 answer:
Oksanka [162]3 years ago
7 0
B. 3ft, 4ft, 5ft

Pythagoras' Theorem where the square of the two smaller sides added together equals the square of the hypotenuse. If the two smaller sides are 3 and 4 then the hypotenuse is always going to be 5
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Answer
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Explanation
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3 years ago
What are three equivalent fractions to 4/11
kkurt [141]

4/11 (2/2) = 8/22

4/11 (3/3) = 12/33

4/11 (4/4) = 16/44

5 0
3 years ago
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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
4 years ago
X+1=5 wat is this pls answer bozo
slamgirl [31]
X = 4. You subtract 1 from both sidea
5 0
3 years ago
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Which expressions are equivalent to the given expression?
liraira [26]

2\sqrt{10} is equivalent to the expression \sqrt{40}

entire to mixed radical:

\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}

decimal value:

2\sqrt{10}=6.32....\\\sqrt{40}=6.32...

3 0
2 years ago
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