Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
Answer:
area = 693
Step-by-step explanation:
The area of a quadrilateral can be found using the formula; base * height
It is given that the height is 33, the base is 21;
Multiply the two
21 *33 = 693
Answer:
1. Exponential decay
2. 18%
Step-by-step explanation:
Step-by-step explanation:
<h3>
<em><u>Given</u></em><em><u>:</u></em></h3>
Length of the rectangle = 6.5 m
Width of the rectangule = 7.3 m
<h3>
<em><u>Then</u></em><em><u>:</u></em></h3>
<u>First</u><u> </u><u>case</u><u>,</u>
Area of the rectangle
= length × width
= 6.5 m × 7.3 m
= <em><u>47.45</u></em><em><u> </u></em><em><u>s</u></em><em><u>q</u></em><em><u>.</u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>i</u></em><em><u>)</u></em>
<u>Second</u><u> </u><u>case</u><u>,</u>
Perimeter of the rectangle
= 2(length + width)
= 2(6.5 + 7.3)m
= 2 × 13.8 m
= <em><u>27</u></em><em><u>.</u></em><em><u>6</u></em><em><u> </u></em><em><u>m</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em><em><u>(</u></em><em><u>ii</u></em><em><u>)</u></em>
The GCF of the three terms (9a, -18b and 21c) is 3
Rewrite each of the terms so 3 is a factor
9a = 3*3a
-18b = -3*6b
21c = 3*7c
So we can say...
9a - 18b + 21c = 3*3a - 3*6b + 3*7c
9a - 18b + 21c = 3(3a - 6b + 7c)
Answer: 3(3a - 6b + 7c)
If you distribute outer 3 to each of the inner terms and multiply, you'll get the original expression again.
