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3 years ago

How many 5 Card hands have exactly 2 aces and 3 kings?

1 answer:

3 0

It should be 24 because <span>Pick 3 aces: 4C3 = 4 ways
Pick 2 kings: 4C2 = 6 ways
# of full-house hands: 4*6 = 24</span>

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A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and meets the ground at a point 7.0

Anit [1.1K]

This will solved using the concept of proportionality:
(height of the cliff)/(height of the pole)=(base of the cliff)/(length from base of pole to the rope)
thus, let the height of the cliff be x, plugging the values in the formula we obtain:
x/6=86/7
hence solving for x we get
x=(86×6)/7
x=73.71 ft

7 0

3 years ago

A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c

Alenkinab [10]

Answer:

$C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}$

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

$l\times b\times h$

where l is the length, b is the base and h is the height.

Volume of box =

$s^2h = 150\\\\h = \dfrac{150}{s^2}$

Area of base =

$\text{side}\times \text{side} = s^2$

Cost of concrete for the base = $4

Cost of base($) = $4s^2$

Area of roof =

$\text{side}\times \text{side} = s^2$

Cost of material for the roof = $2

Cost of roof ($) = $2s^2$

Area of 4 walls =

$4\times (sh)\\=4sh$

Cost of material for the side = $2.50

Cost of material of side($) =

$2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}$

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

$C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}$

is the required cost function.

5 0

4 years ago

Find the square root.<br> V121 =

lidiya [134]

Answer:

Step-by-step explanation:

$\sqrt{121} = \sqrt{11 \times 11} = 11 \\$

6 0

3 years ago

Translate the following sentence into an equation. The quotient of a number and -2, less 10, is -18. Giving brainliest

Molodets [167]

Answer:

x/2-10=18

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help i really need help <br> thanks

Grace [21]

Answer:

B. 31.62

Step-by-step explanation:

First, find the distance of the line using the distance formula, $d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }$ . Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.

6 0

3 years ago