0.33
Yes
It is already to the nearest hundredth as 9.69
123.45 to the nearest hundredth is 123.45
To the nearest hundred: 4400 To the nearest hundredth: 4352.00
To the nearest hundredth 48.657 is 48.66.
The value of sin A is 5.82 and the actual angle is 19.47 degees
Each of the other legs is sqrt 24.5 ie 4.95 to the nearest hundredth
11.70
The answer rounded to the nearest tenth is 25 meters.
Sine = Opposite / Hypotenuse = 30 / 90 = 1/3 ~= 0.33 To remember the ratios, I was taught 2 mnemonics: Each letter of SOHCAHTOA represents a ratio: Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse Tan = Opposite / Adjacent Prior to secondary school where I was taught that, I was taught this rhyme, which I much prefer: Two Old Arabs Soft Of Heart Coshed Andy Hatchett Again, each initial letter shows the ratios. Tan = Opposite / Adjacent Sin = Opposite / Hypotenuse Cos = Adjacent / Hypotenuse
If the angle opposite the side of 12.5 meters is 30 degrees then use the sine ratio to find the hypotenuse which works out as 25.0 meters.
If you mean an angle of 30 degrees then the hypotenuse is 12.5/sin(30) = 25.0 meters
Squares of legs total 121, so each leg is sqrt 60.5, 7.78 to the nearest hundredth
First find the length of the other leg by using Pythagoras: 112-42 = 105 Area = (4*the square root of 105)*1/2 = 20.49390153 Area = 20.49 square cm to the nearest hundredth
In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.
The shortest leg is 3.72 m long.
The hypotenuse measures 11.4 meters in length.