Answer:
Its A.
Step-by-step explanation:
remember its rectangle 1 + rectange 2.Once i did that i have seen the total volume must be greater then answer B
so it must be a
Answer:
y = 20
Step-by-step explanation:
The problem states that y = 12 when x = 36. 36/12 is 3. This means that y is a third of what x is. This would mean that if x = 60, y would be a third of 60 which is 20 since 60/3 is 20.
The true statement about the diagram is (a) IJ ≅ JG
<h3>How to determine the true statement?</h3>
From the question, we understand that:
KH bisects line IG at point J
This means that:
Line segment IG is divided into two equal parts, and point J is the middle
So, we have:
IJ ≅ JG
Hence, the true statement about the diagram is (a) IJ ≅ JG
Read more about perpendicular bisector at:
brainly.com/question/24753075
#SPJ1
Let P be Brandon's starting point and Q be the point directly across the river from P.
<span>Now let R be the point where Brandon swims to on the opposite shore, and let </span>
<span>QR = x. Then he will swim a distance of sqrt(50^2 + x^2) meters and then run </span>
<span>a distance of (300 - x) meters. Since time = distance/speed, the time of travel T is </span>
<span>T = (1/2)*sqrt(2500 + x^2) + (1/6)*(300 - x). Now differentiate with respect to x: </span>
<span>dT/dx = (1/4)*(2500 + x^2)^(-1/2) *(2x) - (1/6). Now to find the critical points set </span>
<span>dT/dx = 0, which will be the case when </span>
<span>(x/2) / sqrt(2500 + x^2) = 1/6 ----> </span>
<span>3x = sqrt(2500 + x^2) ----> </span>
<span>9x^2 = 2500 + x^2 ----> 8x^2 = 2500 ---> x^2 = 625/2 ---> x = (25/2)*sqrt(2) m, </span>
<span>which is about 17.7 m downstream from Q. </span>
<span>Now d/dx(dT/dx) = 1250/(2500 + x^2) > 0 for x = 17.7, so by the second derivative </span>
<span>test the time of travel, T, is minimized at x = (25/2)*sqrt(2) m. So to find the </span>
<span>minimum travel time just plug this value of x into to equation for T: </span>
<span>T(x) = (1/2)*sqrt(2500 + x^2) + (1/6)*(300 - x) ----> </span>
<span>T((25/2)*sqrt(2)) = (1/2)*(sqrt(2500 + (625/2)) + (1/6)*(300 - (25/2)*sqrt(2)) = 73.57 s.</span><span>
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</span><span>mind blown</span>
