The area of a square ice rink is 404 square yards. To the nearest yard,what is the perimeter of the rink.

QUESTION POSTED AT 05/12/2019 - 05:10 PM

Answered by admin AT 05/12/2019 - 05:10 PM

The perimeter of the square is 80 yards 
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At another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend? what is the perimeter of the trap door

HhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhGiven:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long 
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
P = 2(277)
P = 554 inches 

ANSWERED AT 01/04/2020 - 01:48 PM


QUESTION POSTED AT 01/04/2020 - 01:48 PM

In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.

Answer:

The probability is 0.152

Step-by-step explanation:

We know that in this town 39% of all voters are Democrats. Therefore, the probability of a randomly selected voter being a Democrat is p=0.39

The experiment of randomly select voters for a survey is called a Bernoulli experiment (under some suppositions). We suppose that exist independence in this randomly selection of voters. We also suppose that there are only two possibilities for the voter : It is Democrat or not.

Now the variable X : ''The randomly selected voter for a survey is Democrat'' is a Binomial random variable.

X ~ Bi (n,p)

The probability function for the BInomial random variable X is :

P(X=x)=(nCx).p^{x}.(1-p)^{n-x}

Where ''n'' is the number of Bernoulli experiments (In this case n = 2 because we randomly selected two voters)

P(X=x) is the probability of the variable X to assumes the value x

(nCx) is the combinatorial number define as

(nCx)=\frac{n!}{x!(n-x)!}

p = 0.39 in this exercise.

We are looking for P(X=2) ⇒

P(X=2)=(2C2).(0.39)^{2}.(1-0.39)^{2-2}=(0.39)^{2}=0.1521

If we round to the nearest thousandth the probability is 0.152

ANSWERED AT 01/04/2020 - 01:48 PM


QUESTION POSTED AT 01/04/2020 - 01:48 PM

What is the square root of 4 5

Square root of 45 is 6.7082039325

ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

Find the volume of the cylinder. Round your answer to the nearest tenth

V = pi*(r^2)*h
V = pi*(7^2)*5
V = pi*(49)*5
V = 245pi ft^2
V = 796.7 ft^2

ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

37 is decreased to 17 rounded to the nearest tenth

I think it is 20 because 17 rounded is 20

ANSWERED AT 01/04/2020 - 01:46 PM


QUESTION POSTED AT 01/04/2020 - 01:46 PM

Find the volume of the cylinder. Round your answer to the nearest tenth

Answer. 42.41
Cylinder Equation: SA= 2× 3.14×r^2+2×3.14×r×h
Diameter of circle divided by 2 to get the radius =1.5
R= Radius
H=Height

ANSWERED AT 01/04/2020 - 01:46 PM


QUESTION POSTED AT 01/04/2020 - 01:46 PM

What is the area of the figure below?

192 ft.
We can start by finding the area of the whole shape. 18*12= 216
Then we can see that the shape cut out has a length of 6 and the missing 8 from the 10. so 6*8= 48 and we cut 48 in half since the small shape was cut in half and get 24.  So 216-24= 192ft
If you don't get it tell me, it is hard to explain.

ANSWERED AT 01/04/2020 - 01:45 PM


QUESTION POSTED AT 01/04/2020 - 01:45 PM

What is the surface area of a pyramid that is 12 cm tall and has base edges of 8 cm and 6 cm?

12 * 6 = 96
12 * 8 = 72
6 * 8 =48
96+72+48= 216 cm2 

Im pretty sure, not positive though. I haven't done surface area in a while/


ANSWERED AT 01/04/2020 - 01:43 PM


QUESTION POSTED AT 01/04/2020 - 01:43 PM

Round 704.213 to the nearest tens place.

700 is the correct answer

ANSWERED AT 01/04/2020 - 01:41 PM


QUESTION POSTED AT 01/04/2020 - 01:41 PM

T2 + 2t + 1 = 0 Solve using the quadratic formulaWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

T²+ 2t + 1 = 0

a=1, b=2 & c=1 The formula is x'=[-b+√(b²-4ac)]/(2a)

and====================>x"=[-b-√(b²-4ac)]/(2a)

x' = [-2+√(2²-4(1)] / 2(1) ===> x' = -2/2 ==> x' =-1 & x" = -1
x'=x"= -1

ANSWERED AT 01/04/2020 - 01:40 PM


QUESTION POSTED AT 01/04/2020 - 01:40 PM

Find the area of a triangle when the base is 24 feet and one of the sides is 13 feet

The area of the triangle is 156ft.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

X = multiplication
h = height
r^2 = radius squared

Formula of a cylinder: Pi x r^2 x height

So, if 176 = 3.14... times 4^2  times h
Then, 176 = 3.14 times 16h 
Next, 176 = 50.24h
Finally, 3.5 = h

You can then check your work by plugging 3.5 back in for the missing height and round to the nearest tenth. :) The answer should come out the same if done correctly.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

How can you use the information shown to find its perimeter?

Well u know the area is 35 in^2 and the length is 7in. Let x = width
7x = 35
x = 35/7
Perimeter = 7(2) + 2(35/7) --> 14 + 70/7 --> 14 + 10 = 24

ANSWERED AT 01/04/2020 - 01:38 PM


QUESTION POSTED AT 01/04/2020 - 01:38 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

V=Bh
π r^2h
3.14(4)^2(15)
V= 753.6 ft^3

ANSWERED AT 01/04/2020 - 01:37 PM


QUESTION POSTED AT 01/04/2020 - 01:37 PM

Which is more, 362 inches or 10 yards

1 yard = 3 feet 1 foot = 12 inch so, 1 yard = 36 inches then 10 yards = 360 inches Accordingly; 10 yards and 360 inches are equal so, the answer is: No, they are the same. 10 yards is equal to 360 inches.

ANSWERED AT 01/04/2020 - 01:35 PM


QUESTION POSTED AT 01/04/2020 - 01:35 PM

A bag contains 29 red, 22 yellow, and 25 white balloons. If one balloon is picked at random, what is the probability that the balloon picked is white? Write your answer as a decimal rounded to the nearest thousandth

Add all of the balloons first to get the total which is the denominator 76
the probability of white is therefore 25/76
25/76 in decimal form is 0.328947368 and round to nearest thousandth is 
0.329

ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

A cone has a radius of 4cm and an approximate volume of 150.72 cm squared. What is the height of the cone

The height would be approximately 9 cm. 

ANSWERED AT 01/04/2020 - 01:30 PM


QUESTION POSTED AT 01/04/2020 - 01:30 PM

Lauren bought a rectangular box that is 6 inches long, 10 inches wide and 4 inches high. she wants to cover it in fabric. the fabric costs $0.25 per square inch. How much will the fabric costs?

First you'll need to find the area of each side and then add those areas together. 2(6x10)+2(4x6)+2(4x10)= 120+48+80=248 
then you multiply the total area by .25 and get 62. It will cost $62.

ANSWERED AT 01/04/2020 - 01:29 PM


QUESTION POSTED AT 01/04/2020 - 01:29 PM

A reproduction of Claude monet's water-lilies has a dimensional 34 1/2 inches by 36 1/2 inches.find the area of the painting.

1,259.25 in sq. ...34.5 x 36.5

ANSWERED AT 01/04/2020 - 01:27 PM


QUESTION POSTED AT 01/04/2020 - 01:27 PM

A circle has a area of 6937, and what is the radius

1,104.61 is the answer

ANSWERED AT 01/04/2020 - 01:26 PM


QUESTION POSTED AT 01/04/2020 - 01:26 PM

The area of a circle is 88 square meters. What is the radius?

The formula for finding the area of a circle is pi x radius squared. To solve this, you need to reverse the formula. So, your answer is 5.29 m.

I hope this helps:)

ANSWERED AT 01/04/2020 - 01:25 PM


QUESTION POSTED AT 01/04/2020 - 01:25 PM

What is the area of a circle with a diameter of 10 yards

A= pi  * r^2
A= 3.14 * 10*10
A=314.16
that's what you answer will look like I hope it helps

ANSWERED AT 01/04/2020 - 01:24 PM


QUESTION POSTED AT 01/04/2020 - 01:24 PM

Felicia bought 3 yards of fabric for $3.59 per yard.She gave the clerk $20.00.How much change did she receive?

$3.59*3=$10.77
$20-10.77= $9.23
Answer: $9.23

ANSWERED AT 01/04/2020 - 01:23 PM


QUESTION POSTED AT 01/04/2020 - 01:23 PM

If x=100 what is x squared divided by 2

500 because 100 times 100=1,000
1,000/2=500

ANSWERED AT 01/04/2020 - 01:23 PM


QUESTION POSTED AT 01/04/2020 - 01:23 PM

Isaac has piece of rope that is 5 yards long.Into how many 1/2 yard pieces of rope can Isaac cut the rope

It should be 10. because 1/2+1/2=1 so it should be 10.

ANSWERED AT 01/04/2020 - 01:23 PM


QUESTION POSTED AT 01/04/2020 - 01:23 PM

Fifteen times the square of a non zero number is equal to 22 times the number.

15 x^{2}  = 22x
15 x^{2} -22x = 0

Quadratic formula (x =  \frac{-b+/- \sqrt{b^{2-4ac} } }{2a} ) provides us with the answer that x = 0, and 1.47

ANSWERED AT 01/04/2020 - 01:23 PM


QUESTION POSTED AT 01/04/2020 - 01:23 PM

How many feet are in 2 1/2 yards? (Two and a half yards) 1 yard = 3 ft 2 yards = 6 ft

6 feet and 6 inches, actually. - _ -

ANSWERED AT 01/04/2020 - 01:22 PM


QUESTION POSTED AT 01/04/2020 - 01:22 PM