Answer:
The slope is -7 . The y intercept is (0 , 3)
Answer:
1 / 216
Step-by-step explanation:
Remember, when you divide fractions you have to multiply by the reciprocal
1/6 ÷ 6/1 ÷ 6/1
1st step: 1/6 ÷ 6/1 = 1/6 · 1/6 = 1/36
2nd step: 1/36 ÷ 6/1 = 1/36 · 1/6 = 1 /216
Answers:
- a) 693 sq cm (approximate)
- b) 48 sq cm (exact)
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Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
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Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
Well 10 times 80 is 800 and dividing it by 9.8 gives us 81.63
Hey there!
We can see we are subtracting 2 every time, and we have 95 terms left fo figure out, so we multiply 95 by 2 and get 190, then subtract that from 15.
15 - 190 = -175, therefore, that's the the 100th term.
Have a terrifcly amazing day!
