Answer:
Step-by-step explanation:
Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.
-12/5
-13/5
-5/12
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
- Rectangle's Perimeter is 128 ft.
- "the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to
- Perimeter formula for Rectangle is
First, we find the Width by plugging the given values in the formula:
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
When shrinking an image, the size of each side is shrunk by the scale factor. However the area is not shrunk by the same factor. Area is a squared measurement (when finding the area of a rectangle we take length x width; two measurements, so a squared answer), so the area will be shrunk by the scale factor squared; in this case the area is shrunk by 3² or 9. This means the new area would be 720/9 or 80 square inches.