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
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
Answer:
π/4 radians
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,
Ф = s/r.
Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.
1SF = 1 1/2 = 1.5
centered at origin
answer is
figures MNO and PNQ
