method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9

6)9:36
19.36 -762

MethodSolve The Problem.22) Find The Area Of The Skating Rink. Round To The Nearest Tenth.36 FtThe Rectangle

Answers

Answer 1

Step-by-step explanation:

the rink is a combination of a rectangle and 2 half-circles.

so, we need the areas of the rectangle and a full circle and add these 2 values.

the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?

let's assume it is the first.

then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.

the rectangle is simple :

Ar = 36×18 = 648 ft²

the formula for the area of a circle is

Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²

this is rounded 254.5 ft²

as total area we have

648 + 254.5 = 902.5 ft²


Related Questions

Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)

Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20

What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.

B. Use the multiplication property of equality to isolate the constant on one side of the equation.

C. Combine the like terms on the right side of the equation.

D. Combine the like terms on the left side of the equation.

Answers

Answer:

The answer is D

Step-by-step explanation:

D

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

a.64
b.96
c.144
d.208

Answers

6(9)+4+(6). 54+4+6= 64 A

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

Answer:

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Pls help asap the best I can do is 50 points
Answer the ones where the zeros are those are the one that I did bad or left blank

Answers

Step-by-step explanation:

8.a.

a function is something that looks like

y = ax + b or similar.

it describes the way to calculate the result for whatever input value you can come up with.

so,

C = 12×d + 8

you could also say

C(d) = 12×d + 8

as, when you rent, you have to pay these $8 in any case, no matter how long you stay, and you need to pay $12 per day you stay.

funny thing is : you understood this perfectly well when doing b.

c.

the constant rate of change is always the factor of the input variable. here : 12

it is the ratio of (y change) / (x change)

or here (C change / d change).

it indicates that for any increase of d by 1 (staying one day longer) the charges C increase by 12.

9.a.

remember, what we just said about the rate of change ?

it is (result change) / (input change).

between 2010 and 2015

the input changed by +5 (from 2010 to 2015).

the result changed by +6.25 (from 37 to 43.25).

the rate of change is therefore

6.25/5 = 1.25 = 1 1/4 = 5/4

the function is therefore

population in millions = (years since 2010)×5/4 + 37

p = y×5/4 + 37

b.

now we want to find the number of years (y) so that the result of that equation is 50.

50 = y×5/4 + 37

13 = y×5/4

52 = 5y

y = 52/5 = 10.4

so, this will be during the 11th year after 2010 = 2021.

10.

be careful and concentrate.

you see that the sequence goes up 20, when n goes up 5 (and not just 1) ? there was your initial mistake.

a.

again, remember the change rate : it is result change / input change.

so, we have here 20/5 = 4.

so,

C(n) = 4×n + 50

b.

n = 12

C(12) = 4×12 + 50 = 98

c.

now we have C(n), and want to find for which n this is true.

C(n) = 78

78 = 4×n + 50

28 = 4×n

n = 7

after 7 visits the costs are 78.

there are the basic costs of 50 (for n = 0 or 0 visits) and then extra 4 for every visit.

d.

the x-axis is for the number of visits, the y-axis for the costs.

so, the line starts at the point (0, 50), and then passes through the points of the original table (5, 70), (10, 90), (15, 110). and if you want you can calculate the points for higher x (or number of visits).

Help help help pelesss please

Answers

Answer:

its 1

Step-by-step explanation:

it literly says it on the grid and its really simple

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63

Answers

The cost in dollars of each large envelope is $1.42.

Two equations can be derived from this question:

14p + 5l = 12 equation 1

10p + 15l = 24.80 equation 2

Where:

p = postcards

l = large envelopes

To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.

140p + 50l = 120 equation 3

140p + 210 = 347.20 equation 4

Subtract equation 3 from 4

227.20 = 160l

Divide both sides of the equation by 160

l = 227.20 / 160

l  = $1.42

To learn more, please check: brainly.com/question/23589883

Sales commissions: A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program , salespeople were paid a higher salary, plus a small commission for each item they sold. In program , they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson on each program

Salesperson
Program 1 2 3 4 5 6 7 8 9
A 55 22 34 22 25 61 55 36 68
B 53 24 36 28 31 61 58 38 72

Required:
Can you conclude that the mean sales differ between the two programs? Use the α = 0.05 level of significance

Answers

Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.

At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypothesis, it is tested if they differ, that is:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The mean and the standard errors for each sample are:

[tex]\mu_1 = 42, s_1 = 5.9675[/tex]

[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]t = \frac{2.56 - 0}{8.1957}[/tex]

[tex]t = 0.31[/tex]

The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]

Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.

A similar problem is given at https://brainly.com/question/13873630

The 4:25 bus to the metro airport has a travel time of 1 hour and 45 minutes. The bus is running late today though. What will be the arrival time to the airport?

Answers

Step-by-step explanation:

what is that ? another drug or other crime gang secret message to each other ?

as you did not specify how much delayed it is, the answer can only be : late.

5) Mike and Mei each improved their yards by planting daylilies and shrubs. They bought their
supplies from the same store. Mike spent $70 on 5 daylilies and 5 shrubs. Mei spent $62 on 1
daylily and 5 shrubs. Find the cost of one daylily and the cost of one shrub.

Answers

1 shrub cost $12
1 daylily cost $2

1 D: $2
5 S: $60
60+2= 62

5*2=10
5*12=60
60+10=70

hope this helps :)

How to divide 4 divided by 2/3

Answers

According to your question, (4 divided by 2/3):-

[tex] \frac{4}{ \frac{2}{3} } [/tex]

By reciprocal, it. becomes:

[tex]4 \times \frac{3}{2} [/tex]

As we know that 2×2 is 4, cancel 4. Then we get:-

[tex]2 \times 3[/tex]

[tex]→6[/tex]

Therefore, the answer is 6

Not sure how to do this.

Answers

Answer:

5ft into 7ft

Step-by-step explanation:

5ft to 7ft I hope I’m right

What is the length of the unknown leg in the right triangle?

Answers

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

right answers only plz and thank you

Answers

Answer:

letter A

Step-by-step explanation:

3x=0

x=0

x-2=0

x=2

2x+7=0

2x=-7

x=-7/2

Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount. Explain how you would find the amount of money Maria now makes per hour.

Answers

Answer:

9.00 x 150%= $13.50 an hour

Step-by-step explanation:

maria started to make $9.00 and hour

you multiply 9.00 x 150= $13.50

hope this helps!

0.98x0.23 what is 0.98 times 0.23?

Answers

Answer:

0.2254

Step-by-step explanation:

multiply using long multuplication

On a map, the scale is 1 inch = 40 miles. What is the actual distance for 3.25 inches shown on the map?

Answers

Answer:

130 Miles

Step-by-step explanation:

Simplify the liner expression
−2/3a+1/8−1/6a−3/4

Answers

This is how far you can simplify it

be precise yesterday

Answers

Answer:

is this supposed to be a free point question? I'm confuzzled

Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).

Answers

Using the principle of expected value and discrete probability distribution, the missing values are :

* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28

The Expected value, E(X) is defined thus :

E(X) = Σ[(X) × (P(X)]

The cummulative sum of the probability is 1 :

(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)

Hence, we have ;

2** + ** + 0.40 + 0.13 + 0.02 = 1

3** + 0.55 = 1

3** = 1 - 0.55

3** = 0.45

** = 0.45 / 3

** = 0.15

Hence,

* = 2(0.15)

* = 0.30

To find *** :

E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)

12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10

12.77 = 0.77 + 0.40***

12.77 - 0.77 = 0.40***

12.00 = 0.40***

*** = 12.00/0.40

*** = 30

B.)

P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)

P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28

Learn more : https://brainly.com/question/25716562

In which quadrant would you find the graph of (-5, -6)?
O AT
O B) ||
O C) IUI
O D) IV

Answers

Answer:

Third quadrant

Step-by-step explanation:

To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one

If a/(a+b) = 37/40 Find a/(a-b)​

Answers

a/(a+b) = 37/40

(a+b)/a = 40/37

a/a + b/a = 40/37

1 + b/a = 40/37

b/a = 40/37 - 1

= 3/37

1 - b/a = 34/37

(a-b)/a = 34/37

a/(a-b) = 37/34

Good Luck

Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm

Answers

Answer:

Volume of solid = 5 cm *  1 cm  * 6 cm = 30 cm³

Step-by-step explanation:

The formula for volume of solid = Length * Width * Height

Solve
-16 - 8

A. 24

B. 8

C. -8

D. -24

Answers

Answer:

D. 24

Step-by-step explanation:

This can be rewritten as

-16 + -8

This is equal to -24

Answer:

D= -24

Step-by-step explanation:

coz I used the table method so I also found it's correct

plz help I can't get it

Answers

Answer:

A) 0.25/0.6      B) 40:96    E) 1/3 / 0.8

Step-by-step explanation:

A)

0.25/0.6  = 1/4÷3/5

=5/12

B)

40:96 = 5:12               You can divide 40 and 96 both by 8 to get 5:12

=5/12

E)

1/3 / 0.8 = 1/3 ÷ 4/5

=5/12

Hope this helps :)

Solve this quadratic equation by factorisation:

2y² + 4y – 30 = 0

my answer is

(2y+6)×(y-5)
2y+6=0 or y-5=0
y=-3 or y=5
is that correct?

Answers

Answer:

Y=5 y=-3

Step-by-step explanation:

Two real solutions:

y =(2+√64)/2=1+4= 5.000

or:

y =(2-√64)/2=1-4= -3.000

Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?

Answers

Answer:

12 days

Step-by-step explanation:

'd' = number of days

1/20d ≤ 3/5

multiply each side by 20 to get:

d ≤ 60/5 or d ≤ 12

NEED HELP PLS
Find the equation of the exponential function represented by the table below:​

Answers

Answer:

y = 5(4ˣ)

Step-by-step explanation:

Answer:

y = 5 * 4^x

Step-by-step explanation:

exponential functions are of the form

y = ab^x

to find a use point (0, 5)

5 = ab^0

5 = a * 1

a = 5

To find b use any other point

using (1, 20)

20 = 5(b^1)

4 = b^1

b = 4

The equation is

y = 5 * 4^x

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Answer:

l and n

Step-by-step explanation:

Use set builder notation to write the set E= {1, 3, 9, 27}

PLEASE NO SPAMMING I NEED AN ANSWER NOW​

Answers

Answer:

E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }

Step-by-step explanation:

Given set:

E = {1, 3, 9, 27}

We observe that:

1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³

Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.

Set builder notation:

E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }
E={1,3,9,27}

Here let's observe

1=3^03=3^19=3^227=3^3

So set builder form:-

[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]

What is 2346 to the power of 3?

Answers

Answer:

12911717736

Step-by-step explanation:

"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.

236 · 236 · 236 55696 · 236 12911717736

Therefore, the answer is 12911717736.

Answer:

12911717736

Step-by-step explanation:

You're basically multiplying 2346 by itself 3 times which is why you get 12911717736

What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.

Answers

Answer:

The unknown value is being subtracted from 702 is 650

Step-by-step explanation:

Long division setup showing an incomplete calculation

13 is in the divisor

3302 is in the dividend

2 hundreds and 5 tens is written in the quotient

2600 is subtracted from 3302 to give 702

An unknown value represented by a box is being subtracted from 702

We need to find this number

Lets write the steps above

∵ The dividend = 3302

∵ The divisor = 13

- 2 hundreds means 200 and 5 tens means 50

∵ The quotient = 200 + 50 + x

∵ Dividend = divisor × quotient

∴ (13 × 200) + (13 × 50) + (13 × x) = 3302

∵ 13 × 200 = 2600

- Subtract 2600 from the dividend

∴ 3302 - 2600 = 702

∵ 13 × 50 = 650

∴ 702 - 650 = 52 ⇒ 650 is the unknown value

∵ 13 × x = 13x

∵ 52 - 13x = 0

- Add 13 x to both sides

∴ 52 = 13x

- Divide both sides by 13

∴ x = 4

∴ 3302 ÷ 13 = 200 + 50 + 4

∴ 3302 ÷ 13 = 254

∴ From the steps above the missing number subtracted from

  702 is 650

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