We know that a triangle adds up to 180 degrees.
Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25
130 + 25 = 155
Now let’s subtract this from 180.
180 - 155 = 25.
X is a supplementary angle to 25 so subtract 25 from 180.
180 - 25 = 155
X = 155.
Make the same part of the first one
Answer:
the rate of change of the water depth when the water depth is 10 ft is;
Step-by-step explanation:
Given that:
the inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.
We are meant to find the rate of change of the water depth when the water depth is 10 ft.
The diagrammatic expression below clearly interprets the question.
From the image below, assuming h = the depth of the tank at a time t and r = radius of the cone shaped at a time t
Then the similar triangles ΔOCD and ΔOAB is as follows:
( similar triangle property)
h = 2.5r
The volume of the water in the tank is represented by the equation:
The rate of change of the water depth is :
Since the water is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec
Then,
Therefore,
the rate of change of the water at depth h = 10 ft is:
Thus, the rate of change of the water depth when the water depth is 10 ft is;
Answer:
B) 5 5/8in x 9in is your answer
Step-by-step explanation:
First add the bottom numbers together (9+6+9) which gives you 24. Then multiply both sides by 3/8 (15 x 3/8= 5 <u>5/8</u>) and (24 x 3/8= <u>9</u>) making your answer 5 5/8 x 9