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fenix001 [56]
3 years ago
10

Which of the following statements best describes an angle that is in standard​ position? A. An angle is in standard position if

the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative ​ x-axis. B. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ y-axis. C. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative​ y-axis. D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ x-axis.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer: D. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.




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X and Y intercept equations x +2y =18
Rufina [12.5K]

Answer:

(0,9) and (18,0)

Step-by-step explanation:

To find the x-intercept, set y = 0.  Note how this equation x + 2y = 18 becomes x = 18.  Thus, the x-intercept is (18,0).


To find the y-intercept, set x = 0.  Then 2y = 18, and y = 9.  The y-intercept is (0,9).

3 0
3 years ago
If one tosses a coin three times, write dow nthe possible observed number of heads and their probabilities
seropon [69]
You need to find the probability of Heads, Heads, Heads in 3 tosses;

P(HHH)= (1/2)(1/2)(1/2) <-- each toss has 2 possibilities and heads is one 
P(HHH)=1/8

Therefore, the probability of flipping 3 heads on a fair coin is 1/8 

Hope I helped :) 
6 0
3 years ago
James calculated the height of a cylinder that has a volume of 324 pi cubic inches and a radius of 12 in his work is shown below
wel

Answer:

13.5cm

Step-by-step explanation:

V=Bn

Step 1: 3245 - 12h

Step 2: 324 = 24 sh

324 24

Step 3: 245 245

Step 4: h-13.5

inches

What is the first error that James made when calculating the height of the cylinder?

In step 1, he substituted into the volume formula incorrectly.

In step 2, he calculated 122 incorrectly. It should be 144 rather than 24.

In step 4, the should have canceled, making the correct answer 13.5 cm.

James calculated the height of the cylinder correctly

7 0
3 years ago
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Four times the square of a certain number increased by 6 times the number equals 108.find the number
slamgirl [31]
To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

<span>Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 </span>
5 0
3 years ago
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3. What is the molar mass of SO2?
Arada [10]

Answer: 64.066 g/mol

hope this helps :D

Step by Step: To find the molecular mass of SO2, you are going to want to search out the mass of SO2. The mass of sulfur is 32AMU, and also the mass of oxygen is 16AMU, then times two thanks to the subscript, so 32. Add those up, and 32+32=64AMU, which is your mass for the entire.

8 0
2 years ago
Read 2 more answers
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