Answer: 1122
Step-by-step explanation:
The answer you are going to be looking for with this question is 16.4. Hope this helps you out a little :)
Answer:
AC=18
Step-by-step explanation:
To find AC, use the Pythagorean Theorem. Since the longest side (hypotenuse) is known, instead of a²+b²=c², the equation will be c²-a²=b². 12²-8²=b²
144-64=b²
80=b²
√80=√b²
8.94427191=b
That is for one of the two right triangles that make up the tent. Since there are 2 triangles, 8.94427191 only equals BC or AB. So, multiply 8.94427191×2=17.88854382 to find the length of AC.
AC= 18
Step-by-step explanation:
The general equation is y = mx + c...
The given equation is 2x + y = 6
Firstly, move everything on the left except the y to the right.i.e.
y = 6 - 2x
Secondly, rearrange the values on the right to look just like the general equation.
y = -2x + 6
The equation is now in proper general form because it matches the format laid down.
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet