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Lady_Fox [76]
3 years ago
7

Please help!

Mathematics
2 answers:
kondaur [170]3 years ago
5 0
The perimeter in this case will be:

p=2x+y  and we are told that p=84yd so

2x+y=84

y=84-2x

Now for the area:

A=xy, and using y found above in this gives you:

A=x(84-2x)

A=84x-2x^2  now taking the derivatives gives you the velocity and acceleration of the area function...

dA/dx=84-4x and d2A/dx2=-4

Since the acceleration is a constant -4, when velocity is equal to zero it is at the absolute maximum value for the area function...

dA/dx=0 only when 84=4x, x=21

So the maximum possible area will occur when x=21

A(21)=84(21)-2(21^2)

A(21)=882 yd^2  
musickatia [10]3 years ago
4 0

Answer:

882 yd^2

Step-by-step explanation:


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What are the critical points for g(θ) = 20θ − 5 tan θ
jarptica [38.1K]

g(θ) = 20θ − 5 tan θ

To find out critical points we take first derivative and set it =0

g(θ) = 20θ − 5 tan θ

g'(θ) = 20 − 5 sec^2(θ)

Now we set derivative =0

20 − 5 sec^2(θ)=0

Subtract 20 from both sides

− 5 sec^2(θ)=0 -20

Divide both sides by 5

sec^2(θ)= 4

Take square root on both sides

sec(θ)= -2  and sec(θ)= +2

sec can be written as 1/cos

so sec(θ)= -2  can be written as cos(θ)= -1/2

Using unit circle the value of θ is \frac{2\pi}{3} and\frac{4\pi}{3}

sec(θ)= 2  can be written as cos(θ)=1/2

Using unit circle the value of θ is \frac{\pi}{3}and\frac{5\pi}{3}

For general solution we add 2npi

So critical points are

\frac{2\pi}{3} + 2n\pi,\frac{4\pi}{3} + 2n\pi , \frac{\pi}{3} + 2n\pi, \frac{5\pi}{3} + 2n\pi


6 0
3 years ago
Find the missing side.​
Hitman42 [59]

Answer:

24.8

Step-by-step explanation:

sin75 = 24/x

x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)

3 0
3 years ago
Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).
musickatia [10]

\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0

5 0
3 years ago
Read 2 more answers
40 tens.how many hundreds
Sladkaya [172]
400. Just add a zero when you're dealing with tens
7 0
3 years ago
Suppose that z-scores come from a standard normal distribution. Use the Normal Probability Applet (Links to an external site.) t
Natalka [10]

Answer:

0.683

Step-by-step explanation:

We have to find P(-1<z<1).

For this purpose, we use normal distribution area table

P(-1<z<1)=P(-1<z<0)+(0<z<1)

Using normal area table and looking the value corresponds to 1.0, we get

P(-1<z<1)=0.3413+0.3413

P(-1<z<1)=0.6826

Rounding the answer to three decimal places

P(-1<z<1)=0.683

So, 68.3% of the z-scores will be between -1 an 1.

4 0
3 years ago
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