Answer:
-143.68°F
Step-by-step explanation:
Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32
Simply plug in <em>c</em> as -97.6:
F = 1.8(-97.6) + 32
F = -175.68 + 32
F = -143.68
If there is some scalar function
such that
then we want to find
such that
So the vector field
is conservative, which means the fundamental theorem applies; the line integral of
along any path
parameterized by some vector-valued function
over
is given by
In this case,
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
The formula for S.A. of a cylinder: S.A. = 2πr² + 2πrh (given).
r is radius, which is half the diameter. The diameter is 6 in, thus the radius is 3 in. h is height; the height of this cylinder is 8 in. Let's plug in our numbers and solve.
S.A. = 2π3² + 2π(3)(8)
S.A. = 2π9 + 2π24
S.A. = 18π + 48π
S.A. = 66π
Since the question says not to round, we must leave the answer in terms of pi.
Answer:
S.A. = 66π
Answer:
<h2>length= 40cm</h2><h2>width= 120cm</h2><h2>
Step-by-step explanation:</h2>
Area of a rectangle= lenght× width
Dimensions of 1st rectangle: L,W
Dimensions of 2nd rectangle: L+10; W+4
Hence,
LW = 480__________(1)
(L-10)(W+4) = 480_______(2)
LW = LW+4L - 10W - 40
4L = 10W +40
2L = 5W + 20
L = (5/2)W + 10_________(3)
But LW = 480 (from equation one)
So, W = 480/L
substitute as= 480/L into equation (3)
L = (5/2)(480/L)+10
L = 1200/L + 10
L^2 - 10L - 1200 = 0
factorising.
we're have,
(L-40)(L+30) = 0
therefore, since L can't be negative , L = 40
L = 40 cm (length)
Then 480/L = W = 120 cm (width)
<h2>therefore L= 40cm and W= 120cm</h2>
