Answer:
A. 4.4 units²
Step-by-step explanation:
Area of a Triangle: A = 1/2bh
sin∅ = opposite/hypotenuse
cos∅ = adjacent/hypotenuse
Step 1: Draw the altitude down the center of the triangle
- We should get a perpendicular bisector that creates 90° ∠ and JM = KM
- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle
Step 2: Find <em>h</em>
sin70° = h/3.7
3.7sin70° = h
h = 3.47686
Step 3: Find <em>b</em>
cos70° = JM/3.7
3.7cos70° = JM
JM = 1.26547
Step 4: Find entire length base JK
JM + KM = JK
JM = KM (Definition of Perpendicular bisector)
2(JM) = JK
2(1.26547) = 2.53095
b = 2.53095
Step 5: Find area
A = 1/2(3.47686)(2.53095)
A = 4.39988
A ≈ 4.4
Answer:
-9x+27
Step-by-step explanation:
Answer:
The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.
Step-by-step explanation:
For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.
There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.
In a positively skewed distribution, the extreme scores are larger, thus the mean is larger than the median. Since the mean is 122, the only possible median is 118. Therefore, D.
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Answer:
Step-by-step explanation:
Remark
You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.
Conversion
20 kilograms = 20 * 1000 grams / kg
20 kilograms = 20000 grams
Formula
Number of books = mass of bookcase / mass of 1 book
Givens
number of books = ??
mass of bookcase = 20000 grams
mass of one book = 500 grams
Solution
number of books = 20000 / 500
number of books = 40
Answer: 40 books = mass of bookcase
