Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth
answer is 25
Step-by-step explanation:
for something like this you need to use the law of sins. First identify all the angles. There is a 90 degree angle and a 59 degree angle and those are clear. the missing angle is = 59 + 90 = 149
since a triangle has 180 degrees in total you say 180 - 149 = 31. the missing angle is 31 degrees. so we give the angles names. angle with 59 degrees will be angle A, 90 will be B and 31 will be C. So now we just give the sides names. let's replace that x with an a since it's across angle A. the side along angle B will be named b and the side along angle C will be named c. so you say:
Sin A/ a (sin A over a) = Sin B/b = Sin C/c
Sin A is what we are looking for so we say
59 degrees over/ x = sin 31 degrees/ 13 (we leave out the 90 degrees since we don't know the side and also we are not interested in it)
now we do cross multiplying.
say x ×sin 31 degrees = 13× sin 59
now divide these by sin 31
x = 13 × sin 59 ÷ 31 = 25
Look at my pfp it tells you the answer
Solution
- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.
- In the dataset given, the largest number is 12 while the smallest number is 3.
- Thus, the Range of the dataset is
Range = 9
3y = -9x + 12
y = -3x + 4
Is this what you are looking for?
