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Alborosie
2 years ago
15

James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.

Mathematics
2 answers:
Sliva [168]2 years ago
7 0
June is correct because <span>12 is a </span>multiple<span> of both </span>3 and 4<span>.</span>
almond37 [142]2 years ago
4 0
June is correct. 

When you are dealing with factors, you have to think of what numbers multiply to get the number I see.
Let's say the number is 10. What numbers can be multiplied to get 10.
Well, there is 1, 10, 2, 5 so all of those numbers are factors of 10.

When you are dealing with multiples, you have to think of the opposite. If the question asks is 12 a multiple of 3 and 4, than you have to think...If I multiply a number by 3 could I get 12 and... If I multiply a number by 4 could I get 12. The answer is yes you could multiply 3 and 4 and 4 and 3 to get the number 12. That makes 12 a multiple.  
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Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

5 0
2 years ago
Help pleasee , thank you so much in advance
Tanzania [10]
Pretty sure the answer would be 32. It’s basic subtraction I think.
3 0
3 years ago
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There are 20 girls and 26 boys on the tennis team.
salantis [7]

Answer:

B 1013

Step-by-step explanation:

because 20/2 is 10 and 26/2 is 13 so 1013

6 0
3 years ago
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Please please help! will give brainliest and points!
Komok [63]

Answer:

choosing two socks from a drawer of black and white socks without replacement

Step-by-step explanation:

Dependent events have results that depend on each other.  When I take one sock out, there are less socks in the drawer to pick from.  The probability of picking a certain sock changes because the number of socks are different when I do not put the sock back.  That makes the events dependent.

When I put the sock back, the  probability goes back to what it was before I took the sock, and now the results do not depend on each other, so when they are replaced, they are independent

7 0
3 years ago
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1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
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