Answer is 2-2/3 dozen apples, or 2.66 dozen as a repeating fraction.
Step by step
we know 2 dozen apples is 24 apples
We know 24 apples per 3 pies
To get the rate per pie, divide 24 apples per 3 pies
24/3 = 8 apples per pie
Now multiply 8 apples x 4 pies = 32 apples
Now we need to answer in how many dozen apples. Divide 32 by 12 (1 dozen)
Answer is 2.66 dozen apples or 2-2/3 dozen apples
Answer:
y=68.38172757
Step-by-step explanation:
Take the inverse cosine of both sides of the equation to extract
y from inside the cosine.
y=arccos(7/19)
y=68.38172757
The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from
360 to find the solution in the fourth quadrant. y=360−68.38172757
y=68.38172757+360n,291.61827242+360n, for any integer n
Answer:
5 √ 10 + 2 √ 5 ft high
Step-by-step explanation:Explanation:
Let h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20
h
=
20
sin
(
90
∘
−
18
∘
)
=
20
cos
18
∘
=
20
(
√
10
+
2
√
5
4
)
=
5
√
10
+
2
√
5
Answer:
radius 4
center (3,6)
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
x² + y²- 6x - 12y +29=0
x² - 6x + y²- 12y +29=0
(x² - 6x) + (y²- 12y) +29=0
complete the square
(x² - 6x) + 9 + (y²- 12y) +36 +29= + 9 +36
(x² - 6x + 9) + (y²- 12y + 36) = + 9 +36 -29
(x-3)^2 + (y-6)^2 = 16
(x - h)^2 + (y - k)^2 = r^2
coordinates of the center (h, k) and the radius is (r)
center (3,6)
radius 4
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varsitytutors
It's the 2nd labeled angle from the right end of the upper horizontal line.