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3 years ago

Find The Following. BRAINLIEST ASAP TY!!!! (precalculus)

Mathematics

2 answers:

hodyreva [135]3 years ago

7 0

Answer:

Top left: -32

Bottom left: 101

Anuta_ua [19.1K]3 years ago

5 0

(q ° r) = -32
(r ° q) = 101

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You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?

max2010maxim [7]

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

8 0

2 years ago

What is a pattern to find the value of 7×10 to the third power

Ksju [112]

7=================+.

3 0

2 years ago

Read 2 more answers

What single decimal multiplier would you use to decrease by 2% followed by a 3% decrease?

Bumek [7]

0.9506

Step-by-step explanation:

here's the easy explanation:

We have 2% and 3%.

Take them both away from 100 since we're decreasing!

100 - 2 = 98

100 - 3 = 97

Divide them both by 100.

98 --> 0.98

97 --> 0.97

Times them both together!

0.98x0.97 = 0.9506

Hope this helps you>^_^<

#brainlyeveryday:)

4 0

2 years ago

Graph: y < 1/3x + 1/2

fiasKO [112]

Answer: See attached.

Step-by-step explanation:

Since this inequality uses < and not ≤, we will be using a dashed line.

Next, we will shade "below" the line since this inequality uses the < aka less than.

Lastly, our y-intercept is $\frac{1}{2}$ .

4 0

1 year ago

Find The Following. BRAINLIEST ASAP TY!!!! (precalculus)​

Find The Following. BRAINLIEST ASAP TY!!!! (precalculus)