The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
<h3>What is a right-angle triangle?</h3>
If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.
From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.
From the Δ ABC we found;
tan 45° = AB/BC
1=AB/BC
AB=BC
sin 45° = AB/AC
(1/√2)=AB/AC
AC = √2 AB
From the graph, it is observed that
AB=BC =3 units
AC= √2 AB
AC = 3√2 units
Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.
To learn more about the right-angle triangle, refer;
brainly.com/question/3770177
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Answer:
(B) y=2x^2
Step-by-step explanation:
(1/2) and (1/4) make the graph wider
2 makes it narrower
Answer:
562.5
Step-by-step explanation:
i=?
p=3750
r=3*1/100=3/100
t=5 years
I=P*R*T
3750*5*3/100
=5625/100
=562.5
0.03x+0.06 (6500-x)=225
Solve for x
0.03x+390-0.06x=225
0.03x-0.06x=225-390
-0.03x=-165
X=165÷0.03
X=5500 invested at 3%
6500-5500=1000 invested at 6%
Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
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b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
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c) The derivative is ...
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The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
