Answer:
D. 8-cm square
Step-by-step explanation:
The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...
289 -225 = 64
Its side dimensions will be √64 = 8 cm.
The diagram is correctly completed by the 8 cm square.
Answer:
<h3>I hope it helps ❣❣</h3>
.........
Answer:
x = 95
Step-by-step explanation:
The total degree of a circle is 360. The twp arcs on each side of the parallel lines are equal.
Subtract 135 and 35 from your total
<em>360 - 135 - 35 = 190</em>
Divide your answer by 2
<em>190 ÷ 2 = 95</em>
Answer:
The value of cos Ф is ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
∵ sin Ф = ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
∴ sin²Ф = ![(\frac{\sqrt{3}}{2})^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%5E%7B2%7D)
∴ sin²Ф = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
∴ cos²Ф = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
→ Take square root for both sides
∴ cos Ф = ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
∴ The value of cos Ф is ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)