Answer:
The answer to your question is:
a) 8.2 mi
b) 4.1 mi
c) 4.7 mi
Step-by-step explanation:
For 30°
sin Ф = opposite leg / hypotenuse
hypotenuse = opposite leg / sin 30
hypotenuse = 4.1 / sin 30 = 4.1 / 0.5
hypotenuse = 8.2 mi
For 90°
d must be 4.1 mi because is over the observer at this angle
For 120°
distance = opposite leg / sin 60
distance = 4.1 / √3/2
= 4.71 mi
I hope it helps you!
The answer to this question:
<span>north and south sides 16ft
east and west sides 8ft
</span>
In this question, the east and west fencing cost is $4/ft but the south and north fencing cost is $2/ft. The cost is cheaper for fencing north and south side which cost half of the east and west side. The perimeter is made by adding the south, north, east and west side.
If x = north and south fencing and y= is east and west side, then you can get this equation
cost= (south+north) * $2 + (east+west)*$4
128=(x+x) * 2 + (y+ y) * 4
128= 4x + 8y
32= x+ 2y
x= 32-2y
The area is count by multiplying the width and length, which was x and y in this question. The formula should be:
area= length * width
area= x * y
area= (32-2y) * y
area= 32y - 2y^2
Then, you need to find the value of y needed for the maximum area.
32y- 2y^2
32 - 2*2y=0
32= 4y
y= 8
If y=8 then
x= 32-2y
x= 32- 16= 16
Answer: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
(0, 1, 0)
The vector equation is given as:
Substitute values for x, y and z
Differentiate:
The parametric value that corresponds to (0, 1, 0) is:
Substitute 0 for t in r'(t)
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
Such that:
and
The equation becomes:
By comparison:
and
The parametric equations for the tangent line are:
Answer:
7/10, 6/10, or 5/10
Step-by-step explanation:
So, first, we change 4/5 into tenths. That equals 8/10. 3/10 and 8/10.