Answer:
<u>Acute Angle</u>
Step-by-step explanation:
<u>Obtuse Angle</u> is greater than 90 degrees
<u>Right Angle</u> is exactly 90 degrees
<u>Acute Angle</u> is less than 90 degrees
Answer:
19 1/18 miles.
Step-by-step explanation:
For Tuesday's ride we need to multiply 10 8/9 by 3/4.
10 8/9 = (9*10+8) / 9 = 98/9 miles.
98 / 9 * 3/4
= 98/3 * 1/4
49/6
= 8 1/6 miles.
Total miles over 2 days = 10 8/9 + 8 1/6
= 18 + 8/9 + 1/6
= 18 + 48/54 + 9/54
= 18 57/54
= 19 3/54
= 19 1/18 miles.
Answer:
Therefore, the budget is 656.76$.
Step-by-step explanation:
We know that a lab orders a shipment of 100 rats a week for experiments that the lab conducts. Suppose the mean cost of the rats turned out to be $ 12.63 per week. We calculate budget of a lab for the next year's.
We know that 1 year have 52 weeks. We get
52 · 12.63 = 656.76
Therefore, the budget is 656.76$.
<h3>
Answer:</h3>
(2x + 1)(x + 3)
<h3>
Step-by-step explanation:</h3>
It is probably easier to try the answer choices than to try to factor the expression yourself.
(2x + 2)(x + 1) = 2x² +4x +2
(2x + 3)(x + 1) = 2x² +5x +3
(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice
_____
<em>Constructed solution</em>
If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.
... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7
Now, rewrite the x term using the sum of these numbers.
... 2x² +(1 +6)x +3
... 2x +x +6x +3 . . . . eliminate parentheses
... (2x +x) +(6x +3) . . . . group pairs of terms
... x(2x +1) +3(2x +1) . . . . factor each pair
... (x +3)(2x +1) . . . . . . matches the last selection
11.6 repeating rounded is 11.7
