Answer:
110
Step-by-step explanation:
Hello There!
If you didn't know the rule about angles in a triangle is that they have a sum of 180
So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180
so the missing angle = 180 - 30 - 40
180 - 30 = 150
150 - 40 = 110
so the missing angle = 110
9514 1404 393
Answer:
y = -16x² +180
Step-by-step explanation:
The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...
y = a(x -0)² +180
The value of 'a' can be found using the other given point. Substituting for x and y, we have ...
164 = a(1 -0)² +180
-16 = a
Then the complete simplified vertex form equation is ...
y = -16x² +180
You have the following function:

Derivate implictly the previous expression, as follow:

Where you have used that:

Then, the implicit derivative of the given expression is:

Next, solve for y' as follow:

Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × 
I.e The quantity of water drain after x min = 50 gallon × 
or, The quantity of water drain after x min = 50 gallon × 
Hence the quantity of water drain after x min is 50
Answer


given :
volume = 115 yd³
Dimensions are :
We know,

Therefore Length of the prism is 8 yards.
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