The value of x in the special right triangle is 39.60 ft.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.
Therefore, let's find the base of the triangle with 30 degrees.
sin 30° = opposite / hypotenuse
1 / 2 = 7 / b
b = 14 ft
Let's use the value(14 ft) to find the height of the biggest triangle.
sin 30 = opposite / hypotenuse
sin 30 = 14 / h
0.5h = 14
h = 14 / 0.5
h = 28 ft
Therefore, let's find the value of x .
sin 45° = 28 / x
x = 28 / 0.70710678118
x = 39.5979797464
x = 39.60 ft
learn more on right triangle here: brainly.com/question/10412877
For 8, 15.25*18=274.5, 274.5/2= 137.25 or 137 1/4
for 9, 11*13=143, 143/2= 71.5 or 71 1/2
Step-by-step explanation:
we know,
distance = √(x_2 - x_1)² + (y_2 - y_1)²
given points
(6,4) and (0,-5)
according to formula
→ d = √(0 - 6)² + (-5 - 4)²
→ √(-6)² + (-9)²
→ √36 + 81
→ √117 = 10.81 (approx.)
therefore, distance between both the points are 10.81 (approx.).
Hope this helps you !
Answer:
52 and 417
Step-by-step explanation:
A constant means a fixed value which can never vary.
So 417 and 52 are numbers which are fixed to be like that.
Answer:

Step-by-step explanation:
The differential equation
can be solved by separation of variables. Write the equation as
Integrate on both sides
where C is a constant.
is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then
(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is
Now, we use the initial condition x(0)=0
and the particular solution is