The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
Yes it is proportional!
we know this because with every week that passes, he plays another 2.5 hours if video games. hope this helps:)
Answer:
a If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Step-by-step explanation:
y = sqrt(4x+16) +5
y = sqrt(4 (x+4)) +5
y = sqrt(4) sqrt(x+4) +5
y =2sqrt(x+4) +5
f(x) = sqrt(x) this is the parent function
g(x) = sqrt(x+4) This moves it to the left 4 units
h(x) = 2 sqrt (x+4) This stretches it by 2 in the y direction
j(x) = 2 sqrt(x+4) +5 This moves it up by 5 units
y = 2sqrt(x+4) +5
This is to the left 4 units, stretched 2 units in the y direction and up 5 units
If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Answer:
A.
Step-by-step explanation:
y=loga(x) is just the same as x=a^y
Answer:
A pound of potato costs $3.10
A dozen egg costs $5.5
A wheel of cheese costs $6.25
Step-by-step explanation:
Represent
- a dozen egg with D
- a wheel of cheese with W
- a pound of potato with P
For Adam:
---- (1)
For Barry:
---- (2)
For Charles:
---- (3)
Make D the subject in (2)
Substitute 36.50 - 10P for D in (3)
Collect Like Terms
Solve for P
Substitute 3.1 for P in
Substitute 3.1 for P and 5.5 for D in
Solve for W
