Answer:
Angle 1 is 75 degrees (c) & Angle 2 is 105 degrees (e)
Sum of 6 & 7 is 180
Step-by-step explanation:
75 degrees is directly across from angle 1, meaning they are the same. These are <em>vertical angles</em>.
Angle 2 & 75 degrees are <em>supplementary angles</em>, meaning they add up to 180 degrees.
Knowing that, we can do 180 - 75 = 105
6 & 7 are also <em>supplementary</em>, meaning that they are equal to 180 (a straight line).
Hope this helped. :)
Answer: 6π
<u>Step-by-step explanation:</u>
Area of a circle is π r².
Area of a section of a circle is π r² × the section of the circle.
Given: r = 6, Ф = 60°
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
Answer:
Step-by-step explanation:
a. Given that the area's are in the ratios 16:81.
-Area is two-dimensional while perimeter is one-dimensional
=>The perimeter's of the two polygons will vary in a ratio equal to the square root of their area's ratio:
We use the perimeter ratio to find the perimeter of the larger polygon:
Hence, the perimeter of the larger polygon is 954 ft
b -Given the area of the larger polygon is 4779 ft2, the smaller polygon can be determined using the area ratio 16:81
Hence, area of the smaller polygon is