3/16 as a decimal is 0.18
and 5/48 as a decimal is 0.10
SO
you have 0.10, 0.18, 0.75, and 0.5 so put that in order
It is given that the scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden.
Therefore, we can see clearly that the width of the scale model is 1.5 feet. Hence, the width of the actual garden which has been enlarged by a scale factor of 7 will be 7 times the width of the scale model.
Thus the width of the actual garden will be:
feet
In a similar fashion the length of the actual garden will be
feet
Thus, the area of the actual garden will be:

As we can see, out of the given options, the last option is the correct one.
Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:


Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.


Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.


Solve for F:
F ≈ 15.0°
Answer:

Step-by-step explanation:





167<6+7(2-7r)167<6+14-49r
167-6-14<-48r
147<-49 r
r >-3