Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Answer:
77.12 feets
Step-by-step explanation:
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Step one:
given data
Length of the room= 33 feets
width of the room = 69.7 feets
Required
The diagonal of the room
Step two:
from Pythagoras theorem
z^2= x^2+y^2
substitute
z^2= 33^2+ 69.7^2
z^2=1089+4858.09
z^2=5947.09
z=√5947.09
z=77.12 feets
Answer:
21.4 * 10^(-5)
Step-by-step explanation:
Answer:
Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81 i don;t know
Step-by-step explanation:
Answer:
<h3>note: all the twos are to the power</h3>
100=(x−1)2(y+3)
Step-by-step explanation:
Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:
r2=x2+y2
The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at
(x,y)→(1,−3)
So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.
Thus we would have:
r2=(x−1)2+(y−(−3))2
r2=(x−1)2+(y+3)2
But the radius is 10 so we have
(10)2=(x−1)2+(y+3)2
100=(x−1)2+(y+3
