In triangle ABC ,DE is equal to BC ans FG is Equal to DH ans ACB=90 AE=2cm and EC =1cm.determime DE/BC

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First you need to do your own work

Posted on Apr 18, 2017

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Posted on Jan 02, 2017

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The equation of the straight line PQ is 3-2kx+k+1=12,calculate,in each case,the numerical value of k if the line PQ is parrallel to the line y=4x+7;is perpendicular to the line y=4x+7;

that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.
- the equation of line PQ can be simplified to y(x) = -2kx + k -8
- derivative relative to X (k is a constant) gives you -2k
- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:
-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:
-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.
I hope it makes sense.

Apr 12, 2017 | Homework

How many angles does a regular polygon have when its interior angle is 176 degrees

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

How many sides does a regular polygon have when the interior degrees is 176?

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

Mar 26, 2017 | Homework

What is the slope and y intercept of -2,1 and 5,-5

slope or m = (y2 -y1)/(x2-x1)

m = (1 - (-5))/(-2-5)
m = (1 + 5)/(-7)
m = 6/-7
m = -6/7

The y-intercept is the b in the equation y=mx+b.
We can use either point to calculate b. Let's use (-2,1). So every time we see x, we put in -2, and every time we see y, we put in 1.

y = -6/7x + b
1 = -6/7 (-2) + b
1 = 12/7 + b
1 = 1 5/7 + b
-5/7 = b
So, y = -6/7x - 5/7

To check, we substitute in the other point and see if the left side is equal to the right side.

LS RS
-5 -6/7(5) - 5/7
-5 -30/7 - 5/7
-5 -35/7
-5 -5
LS = RS
QED

Good luck,

Paul

Mar 23, 2017 | Homework

Perimeter and area of a redtangle 6cm by 2cm

The perimeter is 16cm and the area is 12 square cm.

Feb 26, 2017 | Homework

What is a quarter worth proportionally to a penny?

It should be 1:4. Reasons
A quarter equals to 25 pennies and a 100 pennies are equal to 1 dollar. So having these sorted out means 1:4

Jan 04, 2017 | Homework

What is 6x4?

6x4 is equal to 24

Jan 04, 2017 | Homework

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