Answer:
46.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides and angles in a right triangle.
<h3>Sine</h3>
Here, the side lengths given are the hypotenuse (11) and the side opposite the angle (8). The mnemonic reminds you the relation involving those sides is ...
Sin = Opposite/Hypotenuse
Applying this to the given triangle, you have ...
sin(x) = 8/11
<h3>Angle</h3>
The angle is found using the inverse sine function. This may be called the sin⁻¹ function on your calculator. It is also referred to as the arcsine function.
x = arcsin(8/11) ≈ 46.658°
x ≈ 46.7°
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<em>Additional comment</em>
The attachment shows a calculator making this computation. The angle mode is set to "Degrees", as indicated in the lower left corner.
Answer:
7 cm
Step-by-step explanation:
Let the side of square be x.
Perimeter of square = 4x
Diameter of circle = x
Radius of circle = x/2
Circumference of circle = 2 * 22/7 * x/2 = 22/7x
According to Question,
4x + 22/7x = 100
(28+22) / 7x = 100
50x = 700
x = 14
Hence, diameter of circle = 14 cm
Radius of circle = (14/2) cm = 7 cm
Answer:
40
Step-by-step explanation:
5 × 8 = 40
1 × 40 = 40
2 × 20 = 40
A² + b² = c²
c² = 8² + 5²
c² = 89
c = √89
c = 9.4 miles
Answer: 9.4 miles
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
Kipish [7]
Answer with explanation:
Coordinates of A, B, C, and D are (-8, 1), (-2, 4), (-3, -1), and (-6, 5).
Plotting the points on two dimensional plane
1. You will find that, the four points, A , B , C and D do not lie on the dame Line.
![\text{Slope of AB}=\frac{4-1}{-2+8}=\frac{3}{6}=\frac{1}{2}\\\\\text{Slope of CB}=\frac{4+1}{-2+3}=\frac{5}{1}=5\\\\\text{Slope of CD}=\frac{5+1}{-6+3}=\frac{6}{-3}=-2\\\\\text{Slope of AD}=\frac{5-1}{-6+8}=\frac{4}{2}=2\\\\\text{Slope of BD}=\frac{5-4}{-6+2}=\frac{1}{-4}=\frac{-1}{4}\\\\\text{Slope of AC}=\frac{-1-1}{-3+8}=\frac{-2}{5}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20of%20AB%7D%3D%5Cfrac%7B4-1%7D%7B-2%2B8%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Ctext%7BSlope%20of%20CB%7D%3D%5Cfrac%7B4%2B1%7D%7B-2%2B3%7D%3D%5Cfrac%7B5%7D%7B1%7D%3D5%5C%5C%5C%5C%5Ctext%7BSlope%20of%20CD%7D%3D%5Cfrac%7B5%2B1%7D%7B-6%2B3%7D%3D%5Cfrac%7B6%7D%7B-3%7D%3D-2%5C%5C%5C%5C%5Ctext%7BSlope%20of%20AD%7D%3D%5Cfrac%7B5-1%7D%7B-6%2B8%7D%3D%5Cfrac%7B4%7D%7B2%7D%3D2%5C%5C%5C%5C%5Ctext%7BSlope%20of%20BD%7D%3D%5Cfrac%7B5-4%7D%7B-6%2B2%7D%3D%5Cfrac%7B1%7D%7B-4%7D%3D%5Cfrac%7B-1%7D%7B4%7D%5C%5C%5C%5C%5Ctext%7BSlope%20of%20AC%7D%3D%5Cfrac%7B-1-1%7D%7B-3%2B8%7D%3D%5Cfrac%7B-2%7D%7B5%7D)
→→None of the two lines are Parallel nor they are perpendicular,because neither product of slopes of two lines is equal to ,-1, nor the slope of two lines are equal.
It means they are Intersecting Lines .
Option D:⇒ And are intersecting lines but are not perpendicular.