Answer:
I would say A because the real answer is 23.477
Step-by-step explanation:
Answer:
Answer:
Distance is 13.6 units.
Which means it is 13
Step-by-step explanation:
Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).
we have to find the distance between house and the subway stop.
Points are (-7, 8) and (6, 4).
Using distance formula,
D= /(x2-x1)^2+(y2-y1)^2} = (6-(-7))^2+(4-8)^2=(13)^2+16}={169+16}={185}=13.60147\sim13.6units.
Hence, distance between house and the subway stop is 13.6 units.
Again, a^2+b^2=c^2
c=10
b=9
10 squared is 100
9 squared is 81
100-81=19
The square root of 19, rounded to the nearest hundredth, is 4.36
Answer:
C) 3.0
Step-by-step explanation:
Let the length of the other side be x.
Using Pythagoras theorem for right-angled triangle,
4.2^2=2.9^2+x^2
or,x^2=4.2^2-2.9^2
or,x^2=9.23
or,x=√9.23=3.0 units
Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation: