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yan [13]
3 years ago
11

A rectangle is inscribed in the upper half of the circle x2 y2 = a2 as shown at right. calculate the area of the largest such re

ctangle.
Mathematics
1 answer:
Inga [223]3 years ago
6 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below is the solution, i hope it helps:
A = 2 x (a^2+x^2)^.5 
<span>dA/dx = 2 x (2x)(.5)(a^2+x^2)^-.5) + 2 (a^2+x^2)^.5 </span>

= 0 for max or min
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7.) x-3&gt;4 please help
givi [52]

Answer:

x>7

Step-by-step explanation:

x-3>4

Add 3 to both sides

x>7

Hope it helped!

6 0
3 years ago
Read 2 more answers
5/2x+1 + 8/2x+1, x≠-1/2
svet-max [94.6K]

\frac{5}{2x + 1} +\frac{8}{2x + 1}

= \frac{5 + 8}{2x + 1}

= \frac{13}{2x + 1}

3 0
3 years ago
Researchers ask a random sample of 1,001 adults nationwide whether they favor or oppose the legalization of marijuana. Fifty-fiv
natima [27]

Answer:

b. It will decrease by a factor of 2

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The lower end of the interval is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}}

The upper end of the interval is given by:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}}

The length of the interval is the subtraction of the upper end by the lower end, so it is:

L = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

This means that the length is inverse proportional to the square root of the size of the sample.

So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.

4 0
3 years ago
Point P is the interior of LaTeX: \angle OZQ.\:∠ O Z Q .If LaTeX: m\:\angle\:OZQ\:m ∠ O Z Q= 125 and LaTeX: m\angle OZP\:m ∠ O Z
saw5 [17]

Answer:

<h2>∠PZQ = 63°</h2>

Step-by-step explanation:

If point P is the interior of ∠OZQ , then the mathematical operation is true;

∠OZP +  ∠PZQ =  ∠OZQ

Given parameters

∠OZQ = 125°

∠OZP = 62°

Required

∠PZQ

TO get  ∠PZQ, we will substitute the given parameters into the expression above as shown

∠OZP +  ∠PZQ =  ∠OZQ

62° +  ∠PZQ = 125°

subtract 62° from both sides

62° +  ∠PZQ - 62° = 125° - 62°

∠PZQ = 125° - 62°

∠PZQ = 63°

<em>Hence the value of ∠PZQ  is 63°</em>

6 0
3 years ago
A cylindrical flower vase is 3 inches across the top and 9 inches high. Solve for the amount of water it can hold.
lesantik [10]
Given:
h = 9 in
r = 1.5 in

Since volume of a cylinder is V = pi*r^2*h

V = pi*(1.5in)^2*(9in)
V = 63.6 cu in

The best and most correct answer among the choices provided by your question is the first choice or letter A. The vase can hold 63.6 cubic inches of water.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.



3 0
3 years ago
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