The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.

Answer:

398

Step-by-step explanation:

multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do

Answer:

100 ( 4 - π rad )

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Amount of total commission is $1,956.8 (Approx.)

Given:

Percent of commission upto $6,000 sale = 9% (Misprint)

Percent of commission over $6,000 sale = 14%

Amount of total sales = $16,120

Find:

Amount of total commission

Computation:

Amount of commission upto $6,000 sale = 6000 × 9%

Amount of commission upto $6,000 sale = $540

Amount remain = 16120 - 6000

Amount of commission upto $6,000 sale = $10,120

Amount of commission over $6,000 sale = 10,1200 × 14%

Amount of commission over $6,000 sale = $1,416.8

Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale

Amount of total commission = 540 + 1,416.8

Amount of total commission = 1956.8

Amount of total commission = $1,956.8 (Approx.)

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Answer:

1) -18 divided by 9 is -2

2) -5x(-7) is 35x

Step-by-step explanation:

[tex] - 18 \div 9[/tex]

[tex] = - (18 \div 9)[/tex]

[tex] = - 2[/tex]

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

[tex] - 5x( - 7)[/tex]

[tex] = 5x \times 7[/tex]

[tex] = 35x[/tex]

Answer:

37

Step-by-step explanation:

6x+y

Let x = 5 and y = 7

6*5+ 7

Multiply

30 +7

Add

37

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

2 = 1/2(-8) + b

2 = -4 + b

6 = b

Answer:

The slope is -⅔ [ negative slope ]

Step-by-step explanation:

Consider two points spotted from the graph.

That is (3, 0) and (0, 2)

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]

y1 is 0

y2 is 2

x1 is 3

x2 is 0

substitute:

[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

Answer:

2 (15/28)

Step-by-step explanation:

[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]

Answer:

2 – 3х + 5х = 16 — 8х + 8x

2 - 8x = 16

8x = 14,

x = 1.75

Answer:

The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Step-by-step explanation:

Let x be one leg of the right triangle.

Since the other leg is two centimeters longer, it can be represented by the expression:

[tex]x + 2 \text{ cm}[/tex]

According to the Pythagorean Theorem, for a right triangle:

[tex]a^2 + b^2 = c^2[/tex]

Where c is the hypotenuse and a and b are the two legs.

The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:

[tex](x)^2 + (x+2)^2 = 6^2[/tex]

Solve for x. Simplify:

[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]

Simplify:

[tex]2x^2 + 4x + 4 = 36[/tex]

Subtract:

[tex]2x^2 + 4x - 32 =0[/tex]

Divide:

[tex]x^2 + 2x - 16 = 0[/tex]

The equation is not factorable, so we can consider using the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = -16. Substitute:

[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]

Lengths cannot be negative, so we can ignore the second solution.

Hence, the value of x or the first side length is about 3.1 centimeters.

Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.

In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Answer:

126.5 or 126 and 1/2 (one half)

Step-by-step explanation:

To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.

54,262/52 = 1043 and 1/2 or 1043.5

Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.

and that number for 26 * 45 is 1170.

Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.

To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.

That is 126.5 or 126 and 1/2 (one half)

Answer:

6/7

Step-by-step explanation:

3-15 /7

3 - 15/7

= 6/7

[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]

[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]

[tex]\\ \rm\longmapsto 13x-1=180[/tex]

[tex]\\ \rm\longmapsto 13x=169[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]

[tex]\\ \rm\longmapsto x=13[/tex]

Now

[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]

[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]

Answer:

∠ DEC = 142°, ∠ CEF = 38°

Step-by-step explanation:

∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so

11x - 12 + 2x + 10 = 180 , that is

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°

∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°

Answer:

32π in

= 100.48 in.

Step-by-step explanation:

From Area:

radius, r = √(A/π)

= √(256 π in²/π)

= 16 in

where π = 3.14

》 Circumference = 2π(r)

= 2π(16)

= 32π in.

= 100.48 in

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

p -> q

converse

~p-> ~q

inverse

q-> p

Contrapositve

~q-> ~p

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements:                                                          Reasons:

[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex]                                  Given

[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex]                                                            Given

[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex]                                                          Given

[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex]                                                        Definition of Midpoint

[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex]                                             ASA Congruence

[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex]                                                       CPCTC              

Answer:

0.4

Step-by-step explanation:

divide simply the given problem by using calculator

Answer:

0.4

Step-by-step explanation:

2/5 turned into a decimal is simply 0.4! Hope it helps :)

Answer:

56

Step-by-step explanation:

There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56

[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]

Step-by-step explanation:

F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3

F[x]=2x-1

F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1

=4x+2

answer=4x+2

Answer: A

Step-by-step explanation:

[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]

9514 1404 393

Answer:

  71/63

Step-by-step explanation:

Let n represent the number of interest.

  -4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9

  n = 5/9 + 4/7 = (35 +36)/63 = 71/63

The number 71/63 must be added to -4/7 to get 5/9.

Answer:The answer is in the attached file below

Step-by-step explanation:

Answer:

angle 7=100 ,angle 8=80

Step-by-step explanation:

For angle 7:

By using definition of alternate interior angles:

angle 4=angle 6

Subtitute values of angles:

x+2y=3y+20

x+2y-3y=20

x-y=20.......(1)

Now by using definition of alternate opposite angles:

angle 4= angle 2

angle 2=x+2y

Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.

2x+y+x+2y=180

3x+3y=180

x+y=60......(2)

Add (1) and (2):

x-y=20

x+y=60

_______

2x=80

x=40

subtitute x=40 in (2):

40+y=60

y=60-40

y=20

For angle 7:

By using definition of alternate exterior angle:

angle 1=angle 7

angle 7=2x+y

subtitute x and y:

angle 7=2(40)+20

=100

For angle 8:

By using definition of alternate opposite angle:

angle 8=angle 6

angle 8= 3y+20

angle 8=3(20)+20

=80

Answer:

This is just simply saying 1 divides by 2 we that is 0.5 in decimal

Hope I helped

Step-by-step explanation:

Infinitely many solutions are there....

hope it helps

Answer:

This will plot as an upward  "V" with the vertex at x = 4/3, y = 5

Step-by-step explanation:

The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so

-3x + 4 = 0

-3x = -4

x = 4/3

which makes y = 5 (the minimin)

Answer:

625 =5⁴

so ( (5)⁴)^1/4

that is 5

pls follow me

Answer:

104

Step-by-step explanation:

solution :

AC = 72

BC = 32

AB = AC + AC

= 72+32

= 104#

Am i right ?

Answer:

Below.

Step-by-step explanation:

I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.

Tan 30 = h/ (x + 10)

tan 45 = h/x        where h is the height of the tower.

From the second equation  x = h / tan45

Substituting in the first equation;

tan30 = h / (h/tan45 + 10

Tan 30 = 1/ √3 and tan 45 = 1 so

1/ 1.732 = h/ (h + 10)

0.5774 = h/(h + 10)

h = 0.5774h + 57.74

0.4226 h = 57.74

h = 136.6 m to nearest tenth.