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anygoal [31]
3 years ago
8

Greg is designing a clock face. Using the center of the clock face as the origin, he keeps its diameter at 10 units. Match the p

ositions of the hours on the clock face to their corresponding coordinates.
Mathematics
2 answers:
alexandr1967 [171]3 years ago
6 0
12 o clock is 0,5
3 o clock is 5,0
6 o clock is 0, -5
9 o clock is -5, 0
lemme guess plato
Nat2105 [25]3 years ago
3 0

The center of the clock is taken as the origin.The clock is a circle with a diameter 10 units.Radius is half the diameter .Radius = 10 ÷2= 5 units.

The clock is divided in four quadrants .On x axis y=0 and on y axis x=0.

When it is  12 o'clock the hour hand is on positive of y axis.Coordinates of the point at 12 o'clock=(0,5)

When it is 3 o 'clock the hour hand is on positive of x axis .Coordinate of the point at 3o'clock is (5,0)

When it is 6 o'clock the hour hand is on negative of y axis .The coordinates of the point at 6o'clock is (0,-5)

At 9o'clock the hour hand is on negative of x axis .The coordinate of the point at 6o'clock is(-5,0)

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Gekata [30.6K]

Answer:

Converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

Step-by-step explanation:

we are given quadratic equation: x^2-20x+13=0

And we need to convert it into completing the square method.

Completing the square method is of form: a^2-2ab+b^2=(a-b)^2

Looking at the given equation x^2-20x+13=0

We have a = x

then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20

So, 20x in form of 2ab can be written as:  2(x)(10)

So, we need to add and subtract (10)^2 on both sides

x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87

So, converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

4 0
3 years ago
You have 16 different cuts of flowers and plan to use seven of them how many different selections of the seven flowers are possi
alisha [4.7K]

We can have 11440 different selections.

<u>SOLUTION: </u>

Given, you have 16 different cuts of flowers  

And you have planned to use seven out of them.  

We have to find how many different selections of the seven flowers are possible.  Now, we have to select 7 items out of 16 available items. So we have to use combinations.

Then, 7 out of 16 combination \rightarrow^{16} \mathrm{c}_{7} \rightarrow \frac{16 !}{(16-7) ! 7 !}

\bold{\text{ Since } ^nC_r=\frac{n !}{(r !(n-r) !)}}

\begin{array}{l}{\rightarrow \frac{16 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10}{7 \times 6 \times 13 \times 12 \times 11 \times 10}} \\\\ {\rightarrow \frac{57657600}{5040}} \\\\ {\rightarrow 11440}\end{array}

Hence, we can have 11440 different selections.

6 0
3 years ago
The total price for a computer and a
8_murik_8 [283]

Answer:

$289

Step-by-step explanation:

If you know the cost of one of the two items, you can subtract that item from the total in order to find the price of the second item

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So:   $1039- $750 = $289

The printer is $289

3 0
2 years ago
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dybincka [34]

Answer:

The answer is $61.20

Step-by-step explanation:

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neonofarm [45]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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