Answer:
x = 8.8
Step-by-step explanation:
take 20 degree as reference angle .the,
hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)
perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)
base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)
using sin rule
sin 20 = opposite / hypotenuse
0.34 = 3 / x
x = 3/0.34
x = 8.82
x = 8.8
A triangle has three angles, and their measures add up to 180 degrees.
An isosceles triangle has at least 2 congruent sides, and the angles opposite the congruent sides are congruent.
This triangle has one angle of 40 deg, and two angles that measure the same; call the measure of each base angle x.
x + x + 40 = 180
2x + 40 = 180
2x = 140
x = 70
The base angles measure 70 deg.
Answer:
3.536 units
Step-by-step explanation:
on the x axis, the difference is 2.5
on the y axis, the difference is 5
5^2/2=d^2
25/2=d^2
d^2=12.5
d=3.536
Answer:
see below
Step-by-step explanation:
It is given that the roll of fencing is 36 ft long. Hence the perimeter of the fencing is 36 ft long.
Since the fence is to be rectangular,
Perimeter = (2 x Length ) + (2 x Width) = 36 feet
The quickest would be using calculus, but the most simple way (without using polynomials) would be to simply list the possibilities for Length and Width:
If we consider only half of the perimeter, i.e only 1 Length and 1 Width:
From the formula above,
(1/2) of Perimeter = Length + Width = 18 feet
Given that the Length & Width are to be whole numbers AND that the sum of Length & Width adds up to 18, then the possible dimensions and area are as follows:
Assemble a table in the following format:
Length x Width = Area
18 x 1 = 18
17 x 2 = 34
16 x 3 = 48
15 x 4 = 60
14 x 5 = 70
13 x 6 = 78
12 x 7 = 84
11 x 8 = 88
10 x 9 = 90
9 x 10 = 90 (anything from here onward basically repeats the previous lines, so we ignore this line and any others that follow)
a) The possible dimensions are everything listed in the table above except the last line which is repeated
b) we can see plainly that the maximum area is 10ft x 9ft = 90 sq feetand the minimum area is 18ft x 1ft = 18 sq feet
