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wolverine [178]
3 years ago
13

"the quotient of a number and 4"

Mathematics
1 answer:
ladessa [460]3 years ago
3 0

Answer:

a number divided by 4

Step-by-step explanation:

a number = n (it's a variable used in equations.)

so n over 4, or n divided by 4

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MATH <br> can somebody help me with these questions?
Dmitriy789 [7]
I’m learning this in class as well
Ok so basically you just need to find 2 random points so like (30,100) and (20,30)
And my question for you is do you know the equation format?

6 0
2 years ago
3 /10 4/ 8 which one is bigger?
Olegator [25]

Answer:

4/8

Step-by-step explanation:

3/10 is 0.30 and 4/8 is 0.5

6 0
3 years ago
Please help me with this
Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

3 0
3 years ago
Ignore my handwriting but here’s some math i need for tomorrow
Vitek1552 [10]

FYI - 14,15,16 are correct.

17. a) 7 (nearest integer), b) 6.8 (nearest tenth)

18. a) 14 (nearest integer), b) 13.8 (nearest tenth)

19. \sqrt{40} --> simplified to = 2\sqrt{10}

<em>-- let me know if you have any questions regarding this. </em>

6 0
3 years ago
A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set
lara [203]

A circle with center (3,0) and radius 5 has equation

(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x  = 16

If we substitute y=2x+k in this equation, we have

x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0

The expression simplifies to

-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89

The solutions to the associated equation are

k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}

So, the parabola is negative between the two solutions:

-6-5\sqrt{5}

8 0
3 years ago
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