Answer:
The value of the x is 176.6 cm .
Step-by-step explanation:
By using the pythagorean theorem .
Hypotenuse² = Perpendicular² + Base²
As in the ΔTVY .
TV² = VY² + YT²
As TV= 95.2 cm
VY = 34 cm
Putting the values in the above
95.2² = 34² + YT²
9063.04 - 1156 = YT²
7907.04 = YT²
![YT = \sqrt{7907.04}](https://tex.z-dn.net/?f=YT%20%3D%20%5Csqrt%7B7907.04%7D)
YT = 88.9 cm (Approx)
As in the ΔTYK .
TK² = KY² + YT²
TK = 168 cm
TY= 88.9 cm
Putting the values in the above
168² = 88.9² + YK²
28224 - 7903.21 = YK²
![YK = \sqrt{20320.79}](https://tex.z-dn.net/?f=YK%20%3D%20%5Csqrt%7B20320.79%7D)
YK = 142.6 cm (Approx)
Thus
VK = VY + YK
Putting the values in the above
VK = 34 + 142.6
= 176.6 cm
Therefore the value of the x is 176.6 cm .
There would be 0 pennies in a tower with the height of 0 cm
Part a)
we have that
<span>√72
</span>√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
<span>
</span><span>alternative method</span><span>
72 is equal to-------> 2</span>³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2
Part b)<span>Estimate the square root of 72 to the nearest tenth
</span>
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5
the answer Part b) is 8.5
Answer:
Hello,
Step-by-step explanation:
<u />
<u>Formula used (a+b)^2=a²+2ab+b²</u>
![(12-9i)^2=3^2*(4-3i)^2\\\\=9*(16-9-24i)\\\\=9*(7-24i)\\\\=63-216i\\](https://tex.z-dn.net/?f=%2812-9i%29%5E2%3D3%5E2%2A%284-3i%29%5E2%5C%5C%5C%5C%3D9%2A%2816-9-24i%29%5C%5C%5C%5C%3D9%2A%287-24i%29%5C%5C%5C%5C%3D63-216i%5C%5C)
B is the most correct, then A. C and D is wrong cuz, complementary is sum of 90 degrees and there is no opposite sides are congruent