Answer:
The total income from wages, bank interest, dividends, and the prize = $ 94577
Step-by-step explanation:
Total wages of Mike and Lisa in last year = $ 91301
Total bank interest of Mike and Lisa = $ 792 + $ 667 = $ 1459
Total income from dividends = $ 287 + $ 530 = $ 817
Prize of Lisa won = $ 1000
Thus the total income from wages, bank interest, dividends, and the prize =
$ 91301 + $ 1459 + $ 817 + $ 1000 = $ 94577
Answer:
A.) 0.9cm, 1.2cm, 1.5cm
Step-by-step explanation:
The side ratios of the offered answers are ...
A — 3:4:5 . . . . . . obviously a right triangle
B — 3:5:5 . . . . . . isosceles, but not a right triangle
C — 3:4:6 . . . . . . an obtuse triangle
D — 3:2:5 . . . . . . not even a triangle (just a line segment)
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<em>Comment on 3:4:5</em>
This set of small integers appears often in problems involving right triangles. It is the smallest "Pythagorean triple" — a set of integers that satisfies the relationship of the Pythagorean theorem — and it is the only Pythagorean triple that is an arithmetic sequence (differences between the numbers are the same).
When you see a triangle with sides in these ratios, you know it is a right triangle. When you see a right triangle with two of the sides having a ratio of 3:4, 3:5, or 4:5 (where "5" is the hypotenuse), then you know the length of the remaining side.
Answer:
C. 42x² - 3x - 9
Step-by-step explanation:
Area:
(7x + 3) (6x - 3)
7x(6x - 3) + 3(6x - 3)
42x² - 21x + 18x - 9
42x² - 3x - 9
Answer:
In Fig. 8.27 , AP and, BP are tangents to a circle wit
Step-by-step explanation: