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Kruka [31]
3 years ago
12

An angle theta is in​ ________ _______ if its vertex is at the origin of a rectangular coordinate system and its initial side co

incides with the positive​ x-axis
Mathematics
1 answer:
romanna [79]3 years ago
6 0

We know that in standard position, the vertex of the angle should lie at the origin and its initial side is always fix along the positive x- axis. Please see the attached image.

We can see that the vertex of the angle is at the origin O and the initial side OB is along the positive x axis. This is the standard position of an angle.

Therefore, we have

An angle theta is in​ standard position if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive​ x-axis.

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Round this number to nearest 10,000. 4,278,003
s2008m [1.1K]

Hi there!

To Round of the number given, first you have to find the ten thousands place on the given number. Started from ones, tens, hundreds, and moving on, the number in the ten thousands place would be 7 in your case.

Now, looking to the number on the right of 7 which is 8, it is bigger than 5, and therefore, we round up 7 and let 8 go to zero.

Applying this, your answer would be 4,280,003

Hope this helped!

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3 years ago
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What is the formula for a cone in geometry
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In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?
exis [7]

Answer:  B) -48

Step-by-step explanation:

If the system of two linear equations a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2 has infinitely many solutions , then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k

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\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6

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3 years ago
If the car dealer pays 85% of the base price and 75% of the installed options price from the manufacturer,
stira [4]

Answer:

$18,007,50

Step-by-step explanation:

First, you have to calculate the 85% of the base price that the dealer pays for the car:

base price: $18,750

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Second, you have to calculate the 75% of the installed options price that the dealer pays:

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$2380*75%= $1,785

Third, you have to add the 85% of the base price plus the 75% of the installed options that the dealer has to pay and you also have to add the destination charge of $285:

$15,937.5+$1,785+$285= $18,007.5

According to this, the dealer has to pay $18,007.5 for the car with a base price of $18,750 and installed options price $2380  including a destination charge of $285.

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3 years ago
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