Answer:
Volume of cylinder =989 ft cube
Step-by-step explanation:
<u>Volume of cylinder</u>
Volume V = πr²h
r - radius and h - height
It is given that,
The radius of a cylindrical construction pipe is 1.5ft and
Length of pipe = 14 ft
<u>To find volume of cylinder</u>
Volume V = πr²h
V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube
Answer:
, ∠C ≅∠Z
, ∠A≅∠X

Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem
The corresponding sides are
BA and YX
BC and YZ
AC and XZ
The corresponding angles are
∠A and ∠X
∠B and ∠Y
∠C and ∠Z
so

and
∠A≅∠X
∠B≅∠Y
∠C ≅∠Z
therefore
, ∠C ≅∠Z
, ∠A≅∠X

1)

.
2)

.
3) The particle is moving right when the velocity function is positive:

or

.
4) When

the particle is slowing down because the acceleration is close to zero

the particle is speeding up when acceleration is increasing away from zero:

.
5)

.
Answer:
The farmer needs 24 crates to hold the carrots.
Step-by-step explanation:
To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:
(4.8 x 120) / 24 = X
576/24 = X
24 = X
Thus, the farmer needs 24 crates to hold the carrots.
Step-by-step explanation:
OA=AC=OC=2 (equal triangle)
which means angle O =60 degree
tan 60 = AB / 2
AB = 2 tan 60 =
