Answer:
1. 9 * 5 in.
2. 3 * 15 in.
Step-by-step explanation:
Volume = 1/3 * area of the base * height
120 = 1/3 * A * 8
So A = 120 / (8/3)
= 120 * 3/8
= 45 in^2.
So the dimensions of the base could be 9 * 5 in
or 3 * 15 in.
Answer:
Angle between the two vectors is 20.7718°.
Step-by-step explanation:
The given two vectors are x = (1,2,3,4) and y = (4,2,4,5)
Now the dot product between two vector is defined as
x.y = ║x║║y║cosθ
Now, x.y( dot product of x and y) = 1×4 + 2×2 + 3×4 + 4×5 = 40
║x║=
= 
║y║=
'
Thus, we get
40 =
×
×Cos θ
Thus, Cos θ = 
Cos θ = 0.935
θ = 
θ = 20.7718°
Answer:
Part 1) The height of triangle is 
Part 2) The width of rectangle is 
Step-by-step explanation:
step 1
Find the dimensions of triangle
The area of triangle is equal to

we have


substitute and solve for h



step 2
Find the missing dimension of rectangle
we have that
The height of the triangle is the same as the width of the rectangle
therefore

Y = mx + b
4 = 6(1) + b
b = -2
equation
y = 6x -2
Answer:
x=80 and y=30
Step-by-step explanation:
HOPE THAT HELPS!!!!!!!