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Tomtit [17]
3 years ago
6

3) Round answer to the nearest hundredth. *

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

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Five cards are selected without replacement from a pack of 52 playing cards. What is the probability of exactly 3 hearts?
irga5000 [103]
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\dfrac{\binom{13}3\binom{39}2}{\binom{52}5}=\dfrac{2717}{33320}

as required.
3 0
3 years ago
Find the distance between the points (2, 7) and (-6, -2).
maw [93]

Answer:

Approximately 12.04 units.

Step-by-step explanation:

The find the distance between any two points, we can use the distance formula, which is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

d=\sqrt{(-6-2)^2+(-2-7)^2

Subtract:

d=\sqrt{(-8)^2+(-9)^2

Square:

d=\sqrt{64+81}

Add:

d=\sqrt{145}

Approximate

d=\sqrt{145}\approx12.04

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.

And we're done!

7 0
3 years ago
What is the volume of one cube
snow_tiger [21]
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3 0
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Find the value of f(5) for the function.<br> f(x) = 6+3x
natka813 [3]

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Step-by-step explanation:

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6 0
2 years ago
Bob has $25 in his account. He gets a new job that pays $12 per hour.
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