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PilotLPTM [1.2K]
2 years ago
11

If a single card is drawn from a standard 52-card deck, in how many ways can a card other than nine be obtained?

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
4 0

Answer:

48 ways

Step-by-step explanation:

There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.

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Aliun [14]

Answer:

-17, -9, 7, 11, 26

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2 years ago
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Write the number in expanded 280.34
BARSIC [14]

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200+80+4+0.3+0.04

Step-by-step explanation:

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Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.
maria [59]

Answer:

x ≈ 12.6 m

Step-by-step explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(33)° = \frac{\text{ST}}{\text{SR}}

cos(33)° = \frac{x}{15}

x = 15.cos(33)°

x = 12.58

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Therefore, measure of side ST = 12.6 m is the answer.

7 0
3 years ago
a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

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3 years ago
A $10 shirt is on sale for 10% off. What is the price of the discount? (The sales tax is 5%)
fiasKO [112]
Pretty positive it is b. $1
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