9514 1404 393
Answer:
see attached
Step-by-step explanation:
Perhaps you want a graph of ...
x^2/49 +(y +1)^2/4 = 1
This is an ellipse centered at (x, y) = (0, -1) with a major axis in the x-direction of 14, and a minor axis in the y-direction of 4.
Answer:
The surface of the prism is 84m²
Step-by-step explanation:
You have 4 figures here (two the same triangles)
you need to determine the surface of each and then sum it to one. This will be your final surface.
rectangles:
3*6= 18m²
5*6 = 30m²
4*6 = 24m²
triangles:
You need to determine the square of the triangles from the Heron's formula.
Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is
,
where s is the semi-perimeter of the triangle; that is,
.
So the permimeter of the triangle is
2p=4+5+3 = 12m
p = 6m
![S = \sqrt{p*(p-a)*(p-b)*(p-c)} = \sqrt{6*(6-3)*(6-4)*(6-5)} = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]](https://tex.z-dn.net/?f=S%20%3D%20%5Csqrt%7Bp%2A%28p-a%29%2A%28p-b%29%2A%28p-c%29%7D%20%20%3D%20%5Csqrt%7B6%2A%286-3%29%2A%286-4%29%2A%286-5%29%7D%20%20%3D%20%5Csqrt%7B6%2A3%2A2%2A1%7D%20%3D%5Csqrt%7B36%7D%20%3D6%5Bm%5E%7B2%7D%20%5D)
So the surface of the prism is a total sum of all surfaces:
P = 18m²+30m²+ 24m²+2*6m² = 84m²
Answer:
54712
Step-by-step explanation:
Starting with 547120, move the decimal point one place to the left, obtaining 54712. (Matches last answer choice)
Answer:
Let L(n) be the function that gives the amount of logs stacked after n loads.
L(n) = 12 + 8(n-1)
Step-by-step explanation:
Let L(n) be the function that gives the amount of logs stacked after n loads.
Let's call for the moment the first load as L(0)
L(0)= 12
Let r be the number of logs carried in each load, then
L(n) = 12 + nr
Since L(6) (the seventh load) equals 60, we have
60 = 12 + 6r, and r = 8.
So a function for the number of loads starting from n=0 would be
L(n) = 12 + 8n
If we want to start with n=1, we simply change the variable
L(n) = 12 + 8(n-1) (n=1,2,3,...).
So L(1) = 12, L(2) = 20, L(3) = 28,...L(7) = 60 and so on.
so if 5.5 is in meter let change it to cm because the question want us to give the answer in cm.


now we multiply 5.5 times 100 which is equal to 550.
next we subtract 550 - 220= 330.
finally, the difference between a teacher and student is 330cm .meaning the teacher's desk is 330 cm longer or taller than the student.