Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
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b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
Let the difference between consecutive terms be D. If the middle term is 30, then the term before it is 30-D, and the term after it is 30+D. So the sum of these three terms would be (30-D) + 30 + (30+D) = 3*30.
Extending this sum to include all 11 terms centered around 30, we see that any addition of D is canceled by a balanced subtraction, leaving you with 11 copies of 30. So the value of the sum is 11*30 = 330.
Answer:
B
Step-by-step explanation:
The ratio of water to mix is 1:4.
314....1020.50/3.25 the decimal moves two places to the right in both numbers
Answer: Second option from the top
Step-by-step explanation:
First, we will simplify the given inequalities.
2x + 7 ≥ 1
2x ≥ -6
x ≥ -3
-
8 - 
≤ 5
- ≤ 5
- ≤ -3
x ≥ 9
Now, we will graph them. <em>See attached</em>.
