Answer:
Step-by-step explanation:
Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathem
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<h2>3</h2>
Step-by-step explanation:
The equation of line passing through the two points is
When substituted,the equation becomes
which when simplified is
The line clearly passes through origin.
The distance between two points is
Distance between origin and is
.
Distance between origin and is
Scale factor is
So,scale factor is
which when simplified becomes 3.
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
