The Rose garden is formed by joining the rectangle in the semicirculation below the rectangle is 22 ft long and 18 ft wide if the gardener wants to build a fence around the garden how many feet of fences required

Probabilities are used to determine the chances of events

The probability the spy is able to unlock the smart phone on his first try is 0.00000001

The length of the password is given as:

L = 8

Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)

So, the number of possible password is:

[tex]n = 10^8[/tex]

The probability that the spy unlocks the phone is:

[tex]p =\frac 1n[/tex]

So, we have:

[tex]p = \frac 1{10^8}[/tex]

Simplify

[tex]p = 0.00000001[/tex]

Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001

Read more about probability at:

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Answer:

AnB ={1,5)

Step-by-step explanation:

when choosing the intersection we pick the items or numbers of the same from each group

Perimeter = Sum of all sides

3/8 +3/8 + 3/4 +3/4

2x3/8 + 2x3/4

3/4 + 3/2

3+6/4

9/4cm

Answer:

-94

Step-by-step explanation:

BODMAS

START WITH THE BRACKET

[tex]6 - ({ \frac{4}{2} \times 5 })^{2} [/tex]

[tex]6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94[/tex]

Answer:

4

Step-by-step explanation:

the amplitude is the distance from the crest to the trough of one wave

in this case, from 2 to -2

Answer:

3:3 (3 for both)

Step-by-step explanation:

5 times 3 = 15

20 times 3 = 60

Answer:

-7/4 or -1 3/4

Step-by-step explanation:

Step 1. Convert into improper fraction.

2 1/2 = 5/2

Step 2. Convert the fractions into common denominator.

5/2 = 10/4

Step 3. Subtract.

3/4 - 10/4 = -7/4

Answer:

360°

Step-by-step explanation:

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

Answer: 360°

The value of θ is CSC θ undefined is 360°.

We have given that,

90°

270°

315°

360°

csc Θ = 1/sin Θ

csc Θ is undefined for sin Θ = 0.

sin Θ = 0 for Θ = 0° and 180° and all their coterminal angles.

360° is coterminal with 0°

The value of θ is CSC θ undefined is 360°.

To learn more about the coterminal angle visit:

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Step-by-step explanation:

Given that:

cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8)

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π-3π)/8}+cos⁴{(8π-π)/8}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{(8π/8)-(3π/8)}+cos⁴{(8π/8)-(π/8)}

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴{π-+3π/8)}+cos⁴{π-(π/8)}

[since, cos(180-theta) = -cos theta]

= cos⁴(π/8)+cos⁴(3π/8)+{-cos(3π/8)}⁴+{-cos(π/8)}⁴

= cos⁴(π/8)+cos⁴(3π/8)+cos⁴(3π/8)+cos⁴(π/8)

= 2cos⁴(π/8)+2cos⁴(3π/8)

= 2{cos⁴(π/8)+cos⁴(3π/8)}

= 2[{cos²(π/8)}²+{cos²(3π/8)}²]

= 2[{cos²(π/8)}²+[cos²{(π/2)-(π/8)}]²]

[since, sin(90-theta) = cos theta]

= 2[{cos²(π/8)}²+{sin²(π/8)}²]

= 2[{sin²(π/8)}²+{cot²(π/8)}²]

= 2[{sin²(π/8)+cot²(π/8)}²-2sin²(π/8).cot²(π/8)]

[since, (a+b)²- 2ab = a²+b²]

= 2[1-2sin²(π/8)cot²(π/8)]

[since, (sin² theta +cot² theta) = 1]

= 2-2*2 sin²(π/8)cot²(π/8)

= 2-2² sin²(π/8)cos²(π/8)

= 2-{2 sin(π/8)cos(π/8)}²

= 2-{sin(2π/8)}²

[since, (sin²A = 2sin A cot A)]

= 2-{sin(π/4)}²

= 2-{sin(180/4)}²

= 2-(sin 45°)²

= 2-(1/√2)²

= 2-{(1*1)/√(2*2)}

= 2-(1/2)

= (2/1) - (1/2)

Take the LCM of the denominator i.e., 1 and 2 is 2.

= (2*2-1*1)/2

= (4-1)/2

= 3/2 Ans.

Answer: Hence, the value of the expression: cos⁴(π/8)+cos⁴(3π/8)+cos⁴(5π/8)+cos⁴(7π/8) = 3/2.

Please let me know if you have any other questions.

Answer:

39

Step-by-step explanation:

Because if you want to know how many years until you get there you would need to divide to find how many year until Diego turns 2 times her age because the opposite of multiplication is division since they said 2 times

See the attached picture for the answer:

Answer:

The maximum angle they can use the ladder is 65.38º

Step-by-step explanation:

Sine law allows sinA/a = sin B/b = sin C/c

Reference the drawing attached

sin 90/110m = sinB/100m

1/110m = sinB/100

multiply both sides by 100

100/110 = sinB

divide each side by 10

10/11 = sinB

find inverse sin of both sides

sin^-1(10/11) = B

65.38º = B

According to the situation described, we have that:

a) The arithmetic sequence that gives the number of seats in the nth row is given by:

[tex]a_n = 24 + 7n[/tex]

b) The 38th row has 290 seats.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Item a:

The first row has 31 seats, the second has 38, the third has 45 and so on, hence:

Then, the rule is:

[tex]a_n = a_1 + (n - 1)d[/tex]

[tex]a_n = 31 + 7(n - 1)[/tex]

[tex]a_n = 24 + 7n[/tex]

Item b:

This is the nth row, for which [tex]a_n = 290[/tex], hence:

[tex]a_n = 24 + 7n[/tex]

[tex]290 = 24 + 7n[/tex]

[tex]7n = 266[/tex]

[tex]n = \frac{266}{7}[/tex]

[tex]n = 38[/tex]

The 38th row has 290 seats.

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Hi!

I can help you with joy!

In order to solve a proportion, all you should do is cross-multiply:

Cross-multiplying is exactly what it sounds like.

In this case, we Multiply

4 times 7

5 times y

28=5y

Divide both sides by 5:

5.6

Hope it helps!

-Nature

Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6

Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.

Given in the question,

[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]

multiplying 7 on both sides,

[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]

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Answer:

[tex]\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} ) =(9.5, 0.5)[/tex]

Step-by-step explanation:

let [tex](x_1,y_1)=(9,-8)[/tex]

let [tex](x_2,y_2)=(10,9)[/tex]

[tex]\textsf{midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{9+10}{2} ,\frac{-8+9}{2} )[/tex]

[tex]\implies\textsf{midpoint}=(\frac{19}{2},\frac{1}{2} )[/tex]

Answer:

9/29

Step-by-step explanation:

Answer:

2(m+2)

Step-by-step explanation:

[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]

[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \dashrightarrow \: 2m + 4[/tex]

[tex] \\ [/tex]

[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]

Answer:

x=3/2

Step-by-step explanation:

[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]

[tex]36x-12=42x-21[/tex]

[tex]6x=9[/tex]

[tex]x=\cfrac{3}{2}[/tex]

Hope it helps! :)

Answer:

27

Step-by-step explanation:

x + y = 15 (gallons)      (1)

0.25*x + 0.10 * y = 0.15 * 15   (2)

Multiply 100 on (2):

25x + 10y = 15

Divede by 5

5x + 2y = 3     (3)

From (1) y = 15 - x

so 5x + 10*(15 - x) = 15

5x + 150 - 10x = 15

-5x = 15 - 150 = -135

x = 135/5 = 27 (gallons)

The first question answer is 4

Answer:

114ab-108b2=

collect like terms

114-108=6

divide by the coefficient of the number

b÷2=b

=6÷2=3

b=3

Answer:

please take a better picture, i can'r read it.

Step-by-step explanation:

Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)

11 inches / 2.5 = 4.4

4.4 x 3 = 13.2 feet

Answer: 13.2 feet

Total 2.5in pairs

[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]

[tex]\\ \tt\hookrightarrow 4.4[/tex]

So length=4.4(3)=13.2ft

Answer:

try gogoanime.be or gogoanime.pe I use them.. they have ads but they are free.

Answer:

Try using animekisa or sugeanime

Answer:

C

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Given the following question:

[tex]9+(\frac{1}{2})^4\times48[/tex]

In order to find this, answer we use order of operations and solve.

[tex]9+(\frac{1}{2})^4\times48[/tex]
[tex]\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}[/tex]
[tex]9+\frac{1}{16} \times48[/tex]
[tex]\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3[/tex]
[tex]9+3[/tex]
[tex]9+3=12[/tex]
[tex]=12[/tex]

Which means your answer is option A or "12."

Hope this helps.

Answer:

x = 5

Step-by-step explanation:

Piece 1 has length 5 inches

Piece 2 has length 20 inches

Piece 3 has length 25 inches

total length:50 inches