Answer:
a = 138
Step-by-step explanation:
Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.
∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°
So, this means that ∠PON is also equal to 138, which means a = 138.
Thus, the answer is a = 138.
<em>~ an aesthetics lover</em>
The perimeter of the given circle is 25.1 square cm.
Step-by-step explanation:
- From the given diagram, the radius of the given circle is 4 cm.
- The perimeter of any given circle is calculated by multiplying 2π with the radius. The radius of this circle is 4 cm and it says π = 3.142
- The Perimeter for the given circle = 2π × r = 2 × 3.142 × 4 cm = 6.284 × 4 cm = 25.136 cm. Rounding this off to one decimal 25.136 square cm, the perimeter equals 25.1 square cm.
Answer:
1.179.17
Step-by-step explanation:
area of triangle= height*base/2=25.48
there are 4 triangles so multiply 25.48*4=101.92
Since it’s a regular octagon, all the sides are equal to = 4cm
Like shown above in the diagram, the sides of the octagon can be extended such that it forms a square.
According to Pythagorean theorem, x2 + x2 = 42; 2x2 = 16
x = √8cm
Total side length for the square= 4 + √8 + √8 = 9.657cm
Area of square= (9.657cm) 2 = 93.25cm2
Area of 4 triangles= 4 (1/2 * √8 * √8) = 16.0cm
Area of octagon, A = Area of square – Area of 4 triangles = 93.25 – 16.0 = 77.25cm2
now add 101.92+77.25=179.17
<span>We see the numbers on a number line
_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<______________________________|_________>
9 3
</span><span>You need to add both distances
</span><span>
|-9| + 3 = 9 + 3 = 12
</span><span>half
</span><span>12 : 2 = 6
</span><span>Now , we measure the distance towards the center section
</span><span>1 way
-9 + 6 = -3
2 way
3 - 6 = -3
Answere : -3
</span>_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<___________________|____________________>
<span> 6 6
</span><span>we used the average math
</span>| - 9 | <span>means that the assumed value of -9 9 (positive )</span>
<span>
</span>
Sorry i dont speak this language
