Answer:
X=84
Step-by-step explanation:
180(the sum of the interior triangle angles) - [(180-130)+(180-134)]
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
q>5/3
Step-by-step explanation:
1 Gallon is equal to 4 Quarts.

Quarts is equal to 10 Cups.

There are 7 Cups left.
7 Cups is equal to 56 Fluid Ounces.
Therefore, the answer is B.
Answer:
The parametric equations for the line.x(t)=
y(t)=
z(t)=
is

Step-by-step explanation:
From the question we are told that
the given equation is

This given equation can be represented as
![\= r (t) = [4 -3t , -5+t,3-t]](https://tex.z-dn.net/?f=%5C%3D%20r%20%28t%29%20%3D%20%20%5B4%20-3t%20%2C%20-5%2Bt%2C3-t%5D)
Generally this equation can be represented in terms of the parametric equations as follows

This above equation is obtained by assigning each component of r(t) to each line