The angle of depression the cable forms is the arctan of the ratio of the
horizontal distance to the height of the tower which is approximately 35°.
Response:
B. 35°
<h3>Which method can be used to find the angle of depression?</h3>
Given:
Height of the tower = 500-feet
Horizontal distance from the (other) point of attachment of the cable to
the base of the tower = 350-feet.
Required:
The angle of depression formed by the cable.
Solution:
The angle of depression is the angle, θ, the cable forms with the tower
from the top of the tower.
By trigonometric ratios, therefore;
Which gives;
The best correct option is; <u>B. 35°</u>
Learn more about trigonometric ratios here:
brainly.com/question/13276558
Volume = length * width * height Plugging in given values:-
1664 = 16 * w * 8
w 1664 / 16*8 = 13
Width is 13 cms Answer
Answer:
Option B - 
and 
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is 
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is 
Therefore, The required system of equations form are
and
So,Option B is correct.
Step-by-step explanation:
the line equation
y = ax + b
gives us slope (a) and y-interception (b).
4x + 3y = 5
3y = -4x + 5
y = -4/3 × x + 5/3
the slope of the original line is therefore -4/3.
a perpendicular slope flips x and y upside-down and flips the sign.
so, the perpendicular slope of -4/3 is 3/4.
the desired line looks like
y = 3/4 × x + b
b we get by using the given point and its coordinates :
-3 = 3/4 × 3 + b = 9/4 + b
-12/4 = 9/4 + b
b = -21/4
so our full line equation is
y = 3/4 × x - 21/4
or
4y = 3x - 21
-3x + 4y = -21
We are asked to perform synthetic division of the given expression such as (x6 - 250x2 - 96) by (x-4). In order for us to solve this problem, we need to complete the expression and fill the missing part such as:
x6 + 0x5 + 0x4 + 0x3 - 250x2 +0x -96
Then start the solution such as;
+4 | 1 0 0 0 -250 0 -96
| 4 16 64 256 24 96
|-------------------------------------------
1 4 16 64 6 24 0
The answer is X5 + 4X4 + 16X3 + 64X2 + 6X + 24 with no remainder.
