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Semmy [17]
3 years ago
10

Which equations support the fact that rational numbers are closed under subtraction? Select each correct answer

Mathematics
1 answer:
noname [10]3 years ago
8 0

The rationals being closed under subtraction means that if we start with two rational numbers and subtract them, we get another rational number.  Choice c subtracts two rational numbers but gets the wrong answer, so isn't support for anything.  Choice b is rational too because the square root of 4 is 2.

Answer: b

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Write an inequality to represent the possible<br> combinations of x cupcakes and y cakes sold.
kolezko [41]

Answer:

The inequality for this would be n ≥ 20.

We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".

Step-by-step explanation:

6 0
2 years ago
Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.
o-na [289]

Answer: \text{Length of AG=}\frac{2\sqrt{63}}{3}

Explanation:  

Please follow the diagram in attachment.  

As we know median from vertex C to hypotenuse is CM  

\therefore CM=\frac{1}{2}AB

We are given length of CG=4  

Median divide by centroid 2:1  

CG:GM=2:1  

Where, CG=4

\therefore GM=2 ft

Length of CM=4+2= 6 ft  

\therefore CM=\frac{1}{2}AB\Rightarrow AB=12

In \triangle ABC, \angle C=90^0

Using trigonometry ratio identities  

AC=AB\sin 30^0\Rightarrow AC=6 ft

BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3} ft  

CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3} ft

In \triangle CAN, \angle C=90^0  

Using pythagoreous theorem  

AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}

Length of AG=2/3 AN

\text{Length of AG=}\frac{2\sqrt{63}}{3} ft


5 0
3 years ago
Need help asap with b and c!!! plz help for a cookie :)
Debora [2.8K]
You can think of this question like the photo attached above.

Hi!

I think for b, the answer would be:

You can construct an angle that is one fourth the measure of angle JKL, by dividing angle either angle MKL or JKM in half.
This is because one-fourth is also equal to one quarter (1/4). If you split angle JKL into 4 equal angles, you would have an angle that is one-fourth the measure (original angle) of angle JKL.

I think for c, the answer would be:

You can construct a 15 degree angle from a given 60 degree angle, by dividing the 60 degree angle into 4 equal angles.
This would work, because each of the 4 angles would be 15 degrees.

Hope this helps! Best of luck!



4 0
3 years ago
A rectangler prism and a cylinder have the same height. the length of each side of the prism base is equal to the diameter of th
nexus9112 [7]

Answer: The rectangular prism?

7 0
3 years ago
PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST <br> Answers <br> 1.A<br> 2.B<br> 3.C
alexdok [17]

Answer: C

Step-by-step explanation:

7 0
3 years ago
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