Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
A bicycle wheel makes five rotations. The bicycle travels 41.87 ft. Find the diameter of the wheel in inches. Use 3.14 for pi. T
2 answers:
Answer:
The diameter is 32.04 Inches
Step-by-step explanation:
If the Bicycle makes 5 rotations and it equals 41.87 ft
Then 1 rotation around the circumference is
41.87/5 = 8.374 ft
Circumference =
8.374 = 3.14*d
Divide both sides by 3.14
d = 8.374/3.14
d = 2.67 ft
To convert feet to inches, we multiply by 12
d = 2.67*12 inches
d = 32.04 Inches
You might be interested in
Answer:
Explained below.
Step-by-step explanation:
(11)
Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).
Thus, the final expression is (-11x + y - 12z).
(12)
From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).
Thus, the final expression is (7x² - y² - x + y + 5).
(13)
What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?
Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).
(14)
What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?
Thus, the expression is (3xy - 7zx + 7yz + 7).
(15)
How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?
Thus, the expression is (x² - 6y² + 3xy).