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2 years ago

7

1024 players in a tennis tournament in each round half the players are eliminated which function can be used to find the number

of players remaining in the tournament at the end of x rounds

1 answer:

kirill115 [55]2 years ago

7 0

Answer:

Option B. 1024(0.5)^x

Step-by-step explanation:

From the question given, we were told that half (1/2) the players are eliminated at the end of each round.

If T is the total number players, then after round one it becomes:

T x (1/2)^1 = T x 0.5

After round x, the the numbers of player remaining will be:

T x (1/2)^x = T x (0.5)^x

From the question given, the total number of players are 1024. Therefore, the above expression can be written as:

T x (0.5)^x => 1024(0.5)^x

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In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

zavuch27 [327]

Length of AB is 18

Step-by-step explanation:

Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

= 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

= 18

5 0

2 years ago

Write the names of 5 object which are longer than your hand- span in your surrounding

Semenov [28]

5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.

Hand span is a measure of distance from the tip of the thumb to the tip of the little finger with the hand fully extended.

Hand span is a measure that has been used for many years. By placing the hand on the edge of a piece of paper and marking the tips of the thumb and little finger, the student can measure a straight line. This is a better method than placing the hand directly on the ruler.

Hand span and cubit are not used as standard units of length because their sizes vary from person to person. So, two different persons may give different measurements for the same length, which is not desirable for a standard unit.

Measure using yours hands and write as per your hand-span measurement.

Therefore,

5 object which are longer than your hand- span in my surrounding is Note book, Laptop, Window, Curtain, Table.

Find out more information about hand span here

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4 0

1 year ago

The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the

torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is $5.972\times10^{24}$ kg. The mass of the Moon is $7.3\times10^{22}$ kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

$5.972\times10^{24}=5972000000000000000000000$

$7.3\times10^{22}=73000000000000000000000$

$5.972\times10^{24}+7.3\times10^{22}$

$5972000000000000000000000+73000000000000000000000$

$6045000000000000000000000$

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

8 0

2 years ago

The triangles are similar

hoa [83]

Answer:

Part 1) $x=16\ units$

Part 2) $x=23\ units$

Part 3) $AE=20\ units$

Part 4) $x= 6.25\ units$

Part 5) $x=26.67\ in$

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

$2.5x+7.5=2x+10$

$2.5x-2x=10-7.5$

$0.5x=2.5$

$x=5\ units$

$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

3 0

2 years ago

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It’s about solving systems of equations...

Kamila [148]

Answer:

(-1,-1)

Step-by-step explanation:

6 0

2 years ago