Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms of PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m

Answer: 88

Step-by-step explanation:since we know 4 books are given each day and the total is 352 . 352 divided by 4 is 88

Answer:

the answer is 88

Step-by-step explanation:

352÷4=88

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

Answer:

83%

Step-by-step explanation:

Answer:

16.6

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{4}{10}=\frac{2}{5}\\ S_{7}=\frac{10(1-(2/5)^{7} )}{1-(2/5)} \\=16.6[/tex]

Answer:

5 orange slices will be in each bag with 1 left over

Step-by-step explanation:

36 ÷ 7 = 5 with a remainder of 1

Answer:

Answer: The volume of the pipe is 412 cubic feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder = π x radius² x height (Length in this case)

Replacing with the values given:

V = 3.14 (2.5)² 21 = 3.4 (6.25) 21 = 412.12 = 412 cubic feet  (rounded)

In conclusion, the volume of the pipe is 412 cubic feet

Feel free to ask for more if needed or if you did not understand something.

Answer:

V = 392.5 cubic feet

Step-by-step explanation:

[tex]v=\pi r^{2} h=\pi (2.5)^{2} (20)=\pi (6.25)(20)=125\pi[/tex]

[tex]\pi =3.14[/tex]

[tex]v=392.5cu.ft[/tex]

Hope this helps

Answer:

f(3) = 9

Step-by-step explanation:

From the table, when can see that when x is 3, f(x) is 9.

Therefore, f(3) = 9

Answer:

[tex]f(3)[/tex]=9

Step-by-step explanation:

[tex]f(x)[/tex] is x times a function.

so if you look at the table on the 'x' side and go down the table until you reach '3' and see what number on the 'f(x)' side corresponds with it, you will see '9'

so [tex]f(3) = 9[/tex]

and that means your answer is D

Answer:

  BD = 19

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so we have ...

  BD/GF = BC/GE

  (2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram

  17(2x -7) = 19(x +4) . . . . . . . . multiply by 969

  34x -119 = 19x +76 . . . . . eliminate parentheses

  15x = 195 . . . . . . . . . add 119-19x

  x = 13 . . . . . . . . . . divide by 15

  BD = 2(13) -7 . . . . use the found value of x in the expression for BD

  BD = 19

Answer:

(0, 6)

Step-by-step explanation:

Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).

I hope this was helpful! Have a lovely day! :D

Answer:

B) 75 cm

Step-by-step explanation:

A = bh

(b =base & h = height)

therefore

area = 5 × 15

= 75 cm

I think this will helpful to you

give me a brainliest

Answer:

52ft²

Step-by-step explanation:

Explanation is in photo

Answer:

Answer below in the picture

I hope my answer helps.

Answer:

A) {DA???} 0.04x1000=40. Yes

B) 0.4x10 is 4, NOT 0.04. No

C)0.4x1 is 0.4, NOT 0.04. No

D) No

E) Yes

F) No

G) Yes

H) No

Answer:

9 units

Step-by-step explanation:

Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.

Algebraically:

AB = AC/2

AB = 18/2

AB = 9 units

Hope this helps!

Answer:

AB = 9

Step-by-step explanation:

Perpendicular line from the center of the cirlcle to the chord bisects the chord.

AB = 18/2

AB = 9

Answer:

sometimes...

Step-by-step explanation:

mark me brainliest

A parallelogram is sometimes a rectangle.

A) sometimes

because the vertices join the adjacent sides at 90° angles and it has two sets of parallel sides and two pairs of opposite sides that are congruent. (a rectangle has all of the properties of a parallelogram.)

Answer:

You can't cconstruct any triangle

Step-by-step explanation:

110+50+10=170  A triangle always has 180º

Answer:

A. X < 5

Step-by-step explanation:

6(x -2) + 21 < 39

6x - 12 + 21 < 39

Group like terms

6x < 39 + 12 - 21

6x < 30

Divide through by 6

X < 30/6

X < 5

Answer:

the answer is d , sundiata!

Step-by-step explanation:

the

Answer:

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

How might the situation lead to bullying?

Step-by-step explanation:

Answer:

-16.15

Step-by-step explanation:

the variable in the equation means that it is ever changing, in this case, ever decreasing.

Answer:

99.9 [tex]cm^{2}[/tex]

Step-by-step explanation:

Given, AB=13 cm, BC=4 cm

AC is the diagonal of parallelogram ABCD.

Also AC=16 cm

We know, △ABC≅△ACD     [S−S−S Congruence]

Also, area of parallelogram ABCD = Area of △ABC + Area of △ACD

                                            = 2 × Area of △ABC

                                            = [tex]2\sqrt{s(s-13)(s-4)(s-15)}[/tex]

         [tex]s= \frac{13+15+4}{2}[/tex]                 = [tex]2\sqrt{16(16-13)(16-4)(16-15)}[/tex]

             = 16                          = 99.9

The apportion of Bronx quota is the alloted profit to Bronx

The apportion for Bronx quota is 20

The dataset is given as:

From the dataset, we have:

Bronx: 20.73

Remove the numbers after the decimal point

Bronx =  20

Hence, the apportion for Bronx quota is 20

Read more about quota at:

https://brainly.com/question/1499498

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

Answer:

1/2 or 0.5 :)

Step-by-step explanation:

We can divide to see lower forns :)

14/28 = 7/14 = 1/2

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

2 pages every 7 seconds, divide by the common denominator which is 7 to get the answer

Answer:

2√2 / (5√2 + 7)

Step-by-step explanation:

Given :

Expanding

Answer:

[tex]-14\sqrt{2}+20[/tex]

Step-by-step explanation:

[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]

[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]

[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]

[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]

Expand numerator:

[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]

Expand denominator:

[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]

Substituting expanded numerator and denominator:

[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]

[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]

[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]

[tex]\implies -14\sqrt{2}+20[/tex]

Did the math for you.

[tex]|5 - 3x| + 2 = 19\\|5 - 3x| = 17\\(|5 - 3x|) = 17^2\\25 -15x -15x + 9x^2 = 289\\25 - 30x + 9x^2 -289 = 0\\9x^2 - 30x - 264 = 0\\3(x + 4)(3x - 22)[/tex]