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2 years ago

Which is the intersection of the sets {0, 1, 5, 7, 8} and {0,5,7,9}?

Mathematics

1 answer:

grigory [225]2 years ago

5 0

Answer:

Step-by-step explanation:

Intersection set will contain the data that are found in both the sets

A = { 0 , 1 ,5 ,7,8}

B= {0,5,7,9}

A ∩ B = {0,5,7}

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A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num

yKpoI14uk [10]

Answer: hypotenuse = $c^{2} + b^{2}$

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

$s_{2} =$ 2bc

Substituing and taking square root to find hypotenuse:

$h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}$

Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

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$h=\sqrt{(c^{2}+b^{2})^{2}}$

$h=(c^{2}+b^{2})$

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3 years ago

What is the diameter of a circular field whose area is 616cm^2<br><br>

Oksana_A [137]

Answer:

Step-by-step explanation:

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rounding 28.00563 to 28.

So hence, your answer is 28cm

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Dovator [93]

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andre [41]

Answer: Choice A) $4500.33

---------------------------------------------------------------------

Explanation:

The formula you'll use is
F = P*(1+r)^t

where
F = final amount
P = initial amount
r = growth rate (in decimal form)
t = time in years

In this case,
F = unknown (this is what we're trying to figure out)
P = 3046
r = 0.05 (since 5% = 5/100 = 0.05)
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Plug those three known values into the formula and evaluate

F = P*(1+r)^t
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