A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.

Answer:

Hence the area of the region bounded by all leaves of the rose is [tex]\pi[/tex].

Step-by-step explanation:

Here,

[tex]2 cos (3\Theta )=0\\\Rightarrow cos(3\Theta)=0\\\Rightarrow cos(3\Theta )=cos\left (\frac{\pi }{2} \right )\\\Rightarrow \Theta =\left (\frac{\pi }{6},-\frac{\pi }{6} \right )[/tex]

Now consider for one leaf of rose:-

[tex]Area = 3\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\frac{r^{2}}{2}d\Theta \\\\ = \frac{3}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}4 cos^{2}\left ( 3\Theta \right ) d\Theta \\\\ = \frac{12}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}} \frac{cos(6\Theta +1)}{2}d\Theta\\\\ =\frac{6}{2}\left [ \frac{sin(6\Theta +\Theta )}{6} \right ]_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\\\\ =3\times \left [ \frac{\pi }{6}+\frac{\pi }{6} \right ]\\\\ =3\times \frac{2\pi }{6}\\\\ = \pi[/tex]

Answer:

X+(X+1)+X+2)=30

Step-by-step explanation:

Answer:

(x-5) (x-3)

Step-by-step explanation:

x^2-8x+15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

(x-5) (x-3)

Answer:

Step-by-step explanation:

-5

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\sqrt{34}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.

Answer:

area of polygon : 120in²

Answer: 3.333333333333% as a percent 3.25 as a decimal

Answer:

(b-9)^2

Step-by-step explanation:

b^2-18b+81

=b^2-(9+9)b+81

=b^2-9b-9b+81

=b(b-9)-9(b-9)

=(b-9)(b-9)

=(b-9)^2

Hope this helps u!!

Answer:

D. Square root of 16

Step-by-step explanation:

Rational numbers are numbers that have simple answers. It is also considered as fractions, Integers, and possible square roots.

- If you chose the square root of 2 = 1.41

- Pi has a value of 3.14, It's not a fraction nor an integer so it's an Irrational number

- Square root of 10 is 3.16

- So Square root of 16 is 4 which is a regular number and a possible square root.

Thank you!

Answer:

last option- square root of 16 is a rational number

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  115° = (4k +5)° +(6k +10)°

  115 = 10k +15 . . . . . . . . . . . divide by °, simplify

  100 = 10k . . . . . . . . . . . . subtract 15

  10 = k . . . . . . . . . . . . . . divide by 10

Answer:

D) 20

Step-by-step explanation:

4x - 10  and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

9514 1404 393

Answer:

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where the annual interest rate is r for t years on loan value P.

Filling in the given information, we find the monthly payment to be ...

  A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39

The monthly payment is $528.39.

__

The total amount repaid is ...

  ($528.39/mo)(60 mo) = $31,703.40

The interest paid is the difference between this and the loan amount:

  interest paid = $31,703.40 -28,000 = $3,703.40

The total interest paid is $3,703.40.

Answer:

(6,80)

Step-by-step explanation:

To check

Substitute (6,80) for x & y value

Y = 10x + 20

80 = 10(6) + 20

80 = 60 + 20

80 = 80

Y = 5x + 50

80 = 5(6) + 50

80 = 30 + 50

80 = 80

Answer:

(6.80) is the correct answer

Answer:

[tex]9n \div 7[/tex]

Step-by-step explanation:

"the quotient of nine times a number and seven"

87 Step-by-step explanation:

Ill answer when i get the result

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

Answer:

the answer would be A , I hope this helps

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

Answer:

the probablity of anything is

(Number of desired outcomes) / (Number of total outcomes)

Step-by-step explanation:

Answer:

I'd assume 1/4

Step-by-step explanation:

there are only 4 different suits to pick from

Answer:

Five

Step-by-step explanation:

Just look at the point where x=-6

Answer:

4

Step-by-step explanation:

f(x) is just the y value for a given value of x

When x = -2     y = 4

f(-2) = 4

Answer:

Let the length of the 2 pieces = L and S

Let L = the longer piece and S = the shorter piece

A wire 26 cm is cut into 2 pieces.  This equates to......L + S = 26

The longer piece is 6 cm longer than the shorter piece.  This equates to.....L = 6 + S.  Substitute this equation into the first one, you get

L + S = 26

6 + S + S = 26

2S = 20

S = 20/2 = 10 cm

L = 6 + S = 6 + 10 = 16 cm

To confirm, L + S = 26

16 + 10 = 26!

Hope the above was helpful.

Step-by-step explanation:

Answer:

g(-1)=-1

Step-by-step explanation:

g(-1)=[tex](-1)^{3} + (-1)^{2} - (-1) -2[/tex]=- 1

g(2) = [tex]2^{3} + 2^{2} -2-2=8[/tex]

g(1) =[tex]1^{3} +1^{2} -1-2=-1[/tex]

⇒g(2)+g(1)=8+(-1)=7

Answer:

C) y = 2.50x + 10

Step-by-step explanation:

Equation C is saying:

total cost = 2.50(number of games) + $10 entery fee

Hope this helps :)

Answer:

below

Step-by-step explanation:

cost of the machinery = $14,400

he paid a deposit of $1400

then later paid $576.18 for two years

two years = 24 months

= $576.18 *24

=$13,828.32

total amount paid

= initial deposit + amount paid in two years

= $1,400 + $13,828.32

=$15,228.32

so he finally paid $15,228.32

interest = selling price - original cost

= $15,228.32 - $14,400

=$828.32

therefore interest = $828.32

Step-by-step explanation:

the domain = {-3, -1, 2}

_____

The domain, as a set in increasing order, will be {-3, -1, 2}.

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs shown below.

{(-3, 2), (-1, 0), (-3, 5), (2, -3)}

Then the domain, as a set in increasing order, will be

⇒ {-3, -1, 2}

More about the domain and range link is given below.

https://brainly.com/question/12208715

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