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3 years ago

11

the running aces card team won $548 playing in poker tournaments.The winnings were split evenly among the p players.How much mon

ey did each player receive

2 answers:

Vikentia [17]3 years ago

5 0

Answer:548/p

Step-by-step explanation:

meriva3 years ago

3 0

Answer:

$\frac{548}{p}$ .

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a produce store sells 63 apples if the ratio of red apples to green apples was sold was 7 to 2 what is the combined amount of re

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2 years ago

Read 2 more answers

In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm

tangare [24]

Answer:

$AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm$

Step-by-step explanation:

Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.

By the Pythagorean theorem,

$AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm$

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

$\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD$

Consider right triangle CAH.By the Pythagorean theorem,

$CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8$

The length cannot be negative, so CD=8 cm and

$CA=\sqrt{3}CD=8\sqrt{3}\ cm$

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

$AB=2CA=16\sqrt{3}\ cm$

By the Pythagorean theorem,

$BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm$

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2 years ago

If a1 = 8 and an = an-1 + 5 then find the value of a5.

Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

A5=A4+5

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3 years ago

How do I round these numbers?

olga nikolaevna [1]

Do your sum which is $329.69 subtract $59.63 then if the unit is 4 or less round your answer to the nearest ten eg, 103 would be rounded to 100. If the unit is 5 and above you would round your answer up eg, 437 would be rounded to 440.

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2 years ago

Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshir

Rudiy27

Answer:

<u>A) (1+0.3)25</u>

<u />

Explanation:

Zoe's expression <u>25+0.3(25)</u> equals to 32.5. So the only expression that equals to 32.5 is <u>A) (1+0.3)25</u>.

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2 years ago