Answer:
Step-by-step explanation:
sin 45 = opposite / hypotenuse
<u>Where opposite = x , hypotenuse = 4</u>
sin 45 = x / 4
![\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%20%7D%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B4%5Csqrt%7B2%7D%20%7D%7B2%7D%20%5C%5C%5C%5Cx%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
I believe it is 150º because a supplementary angle is 180º so 180-30=150.
First, solve the exponent part because it has a higher precedence than multiplication. And we have a negative exponent. Which means we takes the reciprocal of 4 then take to the power of 4.
4^-4 = 1/4^4 = 1/256
Now do the multiplication part.
16 * 1/256 = 1/16
Answer: 11 x 13 feet
Step-by-step explanation:
Normally, a question such as this allows one to assume that the wall on the neighbor's garden will also serve as a wall on our garden, but the sentence ". . . and the fence must surround all four sides . . ." leads to the conclusion that the 48 feet must include the side next to the neighbor. That's waht tis assumes.
The diagram shows a rectangle, so the neighbor's length of 11 feet must be the same on the opposite side. That leaves (48 - 22) = 26 feet for the two sides. 26/2 = 13 feet each side. This leads to a garden dimesion of 11 x 13 feet.
Answer:
65.94 cm²
Step-by-step explanation:
12.5/2 = 6.25 = radius of large circle
8.5/2 = 4.25 = radius of small circle
A= πr²
A of large circle = 3.14(6.25²) = 122.66
A of small circle = 3.14 (4.25²) = 56.72
122.66 - 56.72 = 65.94 cm²
