Answer:
One side of the park is 63 feet.
C is the correct option.
Step-by-step explanation:
We have been given that the shape of the city park is a square and the area if the park is 441 square yards.We have to find the side of the park.
We know that the four sides of a square is equal and the area is given by
On substituting the value of area, we get
Take square root both sides and ignore the negative values of side
On simplifying, we get
Side = 21 yards
Now, we know that
1 yard = 3 feet
Hence, we have
21 yards = 3×21 = 63 feet
Therefore, one side of the park is 63 feet.
C is the correct option.
Using the three trigonometric functions can be used to calculate unknown side lengths and angle in a right-angle triangle only.
But, if ever you we're given to find a non right-angle triangle, you will have to use sine rule or cosine rule.
Hey there :)
The volume formula of a cylinder is:
V =
r²h
The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first
9648 =
r²(18)
=
r²
536 =
r²
= r²
= r
r ≈ 13.06
The ratio of the big cylinder to small cylinder is:
18 : 9 (given height)
So the big cylinder is
2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger
r ≈ 6.53 ( the radius of the small radius )
V (of small cylinder) =
(6.53)²(9)
= 1206 in³
Draw a diagram to illustrate the problem as shown in the figure below.
The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.
The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m
The model for tide depth is
That is,
d = -1.5 cos(0.5027t) + 4
where
d = depth, m
t = time, hours
A plot of the function confirms that the model is correct.
Answer:
The answer is -3x.
Step-by-step explanation:
Combine like terms.
Hope this helps :)