That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.
The 7th term is found by evaluating the expression for n=7.
a₇ = 192
Area=1/2bh
add them
(1/2)ab+(1/2)c^2+(1/2)ab=
ab+(1/2)c^2
ab+(1/2)(a^2+b^2)
not sure which option to pick there are different preferences on what counts as 'simplified'
4. find area
area=LW
area=105*45=4725
depends on the area of the signs
answer is
4725/(areaof1sign)
anyway, round down your answer because you will have an incomplete sign if you don't
5. area=pir^2
1/2 of it is
area=1/2pir^2
area=(1/4)^2pir^2
area=pi((1/4)r)^2
the radius is now 1/4 of what it was originally, meaning that the diameter is also 1/4 of what it is now
we need to know diamater
answer is 1/4 of current diameter
3. unclear
4. area of 1 sign not given, answer is 4725/(areaof1sign), rounded DOWN to nearest integer
5. (404 error, diameter not found) answer is 1/4 of current diameter
Answer:
<em>The surface area of the sphere is 314 mi².</em>
Step-by-step explanation:
According to the given diagram, the diameter of the sphere is 10 mi.
If the radius is 
, then diameter 
So....
<u>Formula for the surface area of a sphere</u>: 
Plugging the value of into this formula, we will get...
![A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314](https://tex.z-dn.net/?f=A_%7BS%7D%3D4%5Cpi%285%29%5E2%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%5Cpi%2825%29%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%283.14%29%2825%29%5C%20%5C%20%5BUsing%5C%20%5Cpi%3D3.14%5D%5C%5C%20%5C%5C%20A_%7BS%7D%3D314)
So, the surface area of the sphere is 314 mi².
