Answer:
it would be close to 12 ft im not 100% sure though the measurements are a little off
Step-by-step explanation:
hypotenuse is 13
then you have the adjacent = 7
13^2 = 169
7^2= 49
169-49=120
the square root of 121 is 11 wich is fairly close to 120(doesnt have one because its not exact)
there is two extra feet so 11 +2 is 13 but there was a little less then 11 so i had sid roughly around 12
brainliest, please???
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB =
HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
= 
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
= 
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer:
-3
Step-by-step explanation:
Answer:
a) 0.6435 radians
b) 80.1 feet/sec
Step-by-step explanation:
a) 75 = (50²/16)sin(theta)cos(theta)
sin(theta)cos(theta) = 0.48
2sin(theta)cos(theta) = 0.96
sin(2theta) = 0.96
2theta = 1.287002218
Theta = 0.6435011088 radians
b) 200 = (v²/16)sin(0.75)cos(0.75)
6416.072347 = v²
v = 80.10038918 feet/sec