At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.

Answer:

x = 96

Step-by-step explanation:

Answer:

x/6≥16

Step-by-step explanation:

Answer:

4x+12+3x+7x(3+5)+6=90

Combine like terms.

4x+12+3x+56x+6=90

63x+18=90

63 x = 72

x = 72/63

x = 8/7

Answer:

Step-by-step explanation:

A

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Answer:

14

Step-by-step explanation:

Answer:

looks like 18 not sure tho

Step-by-step explanation:

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Answer:

the solution set is (-infinity, -8) ∪ (-8, 1/5)

Step-by-step explanation:

x + 8 changes sign at x = -8.  

I'll assume you meant 5x - 1 (as 5x+- is meaningless).  5x - 1 changes sign at x = 1/5.

Subdivide the x-axis using the two x-values found above:

(negative infinity, -8), (-8, 1/5), (1/5, infinity.

Choose a representative value from each interval.  I'm choosing x = -10, x = 0 and x = 1.

Now test the given inequality at each of these x-values.  Is the result true or false?

 x + 8

---------- > 0

5x - 1

For x = -10:

-10 + 8

--------------- > 0 => -2/(-51) => 2/51     This is TRUE

5(-10) - 1

For x = 1:

 1 + 8

---------- > 0  =>  9/4     This is TRUE

  5 - 1

For x = 0:

     8

---------- > 0    This is FALSE

    - 1

Therefore the solution set is (-infinity, -8) ∪ (-8, 1/5)

Answer:

B = 44°

c = 27.8

b = 19.3

Step-by-step explanation:

m∡B = 180 - (90 + 46)

sin46° = 20/c

c = 20 / sin 46°

c = 27.8

b² + 20² = 27.8²

b² + 400 = 772.84

b² = 372.84

b = [tex]\sqrt{372.84}[/tex]

b = 19.3

Answer:

1

Step-by-step explanation:

The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

Answer:

It is 8!

Proof:

I took the activity.

Answer:

12 different toppings

Step-by-step explanation:

Total combination / (number of syrup * Numbe rod ive cream flavors)

540 / (9*5)

540 / 45

= 12

Answer:

6^2

Step-by-step explanation:

6^2 because,

6^1 is not a perfect square because 6 is its own number because 6 x 1 =6 Therefore being eliminated.

6^3 is not a perfect square because 6 x 6 x 6 (216) is cubed not square

*This one almost tricked me*

6^5 is not a perfect square because 6 x 6 x 6 x 6 x 6 (7776)  it isn't an equal factor combination, that when multiplied together, produce the number 7,776. That means 7,776 is not a perfect square.

6^2 is a perfect square because 6x6= 36 and 36 is a perfect square.

Therefore, its 6^2

(This is my 100th question answered!)

Hope this helps have a nice day!

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

There are 5,789 digits in total required to number the pages of a book with 1,724 pages.

A numbering is the assignment of natural numbers to a set of objects in some formal language, such as functions, rational numbers, graphs, or words, in computability theory.

Given the total number of pages is 1,724

Let's break down the pages now to find the total digits.9

one-digit numbers (1-9) = 9 x 1 = 9 digits make up the number 1,724.90 numbers with two digits (10-99) = 90 x 2 = 180 digits900 three-digit numbers (from 100 to 999) = 900 times three = 2700 digits725 numbers with four digits (1000-1724) = 725 x 4 = 2900 digits

Let's add the digits now.9 + 180 + 2700 + 2900 = 5,789

As a result, the total number of digits required to number the pages of a 1,724-page book is 5,789.

Learn more about numbering here: https://brainly.com/question/251701

#SPJ2

Answer:

r = 16

Step-by-step explanation:

[tex]\frac{3}{8}r = 6 \\\\[/tex]

Multiply both sides by 8

[tex]8*\frac{3}{8}r = 6*8\\\\3r = 48\\[/tex]

Divide both side by 3

[tex]\frac{3}{3}r=\frac{48}{3}\\\\r = 16[/tex]

OR

Multiply both side by (8/3)

[tex]\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16[/tex]

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

Answer:

1/36

Step-by-step explanation:

P=(1/6)(1/6)=1/36

Answer:

x/7

Step-by-step explanation:

cos 39= adjacent/hypotenuse

=x/7

Where is the picture?

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

Find out more information about probability here:

https://brainly.com/question/24756209

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Answer:

2r+3r

Step-by-step explanation:

even though r5 looks correct, you always have to put the varible on the right side of a number. 2r+3r is correct because if you combine like terms, you get 5r

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

      ------------------------------------

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

Answer:

78

Step-by-step explanation:

Given:

h + 9g

Required:

Evaluate when g = 8 and h = 6

Solution:

Plug in the values of the variables into the expression

Thus,

6 + 9(8)

= 6 + 72

= 78

Answer:

The function is:

Missing numbers:

Answer:

a) P

b) NP

c) P

d) p

e) p

1.30,35,40. add 5

2. 4,0,-4.  take 4

3. -8,-10,-12. add -2

Answer:

416

Step-by-step explanation:

for 700 350 plus 350 then for dryer 66 extra so 350 plus 66