Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet. 6 feet 16 feet 12 feet 4 feet

QUESTION POSTED AT 18/01/2020 - 07:11 AM

Answered by admin AT 18/01/2020 - 07:11 AM

The height is 12 feet. The formula for volume for a pyramid is V=1/3Bh. *the big "b" means you have to find the area of the base=4. 8=1/3×2×h -- ----------- 2 2 (3) 4=1/3×h (3) 12=h
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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

PLZ help! Combine like terms (simply) 7 -3(4-2x) -10x students Answer: 16 - 18x What was the students mistake? What us the right way to do this?

Correct answer: 7-12+6x which simplifies to -5+6x

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

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's the diameter of a circle with a radius of 12

24 diameters is the answer

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


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

I need help asap!! I don't really get it bc I don't know if you include the $12 or not.

12+3x=30
Subtract 12 from both sides
3x=18
Divide by 3 both side
X=6
They can buy 6 buckets

ANSWERED AT 01/04/2020 - 01:44 PM


QUESTION POSTED AT 01/04/2020 - 01:44 PM

A ball has a radius of 5 inches. What is the volume it can hold

A ball is a Sphere sooooo......
V=4/3 \pi r^{3}
And when you enter the radius.....
The answer will be about 523.6 inches

ANSWERED AT 01/04/2020 - 01:44 PM


QUESTION POSTED AT 01/04/2020 - 01:44 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

A cylinder has a volume of 361.728 cubic centimeters. The diameter of the cylinder is 8 cm.What is the height of the cylinder?

The height i belive is 7.2 

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


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

The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse

No, this is the definition of the cosine.

The sine in a right triangle is the OPPOSITE side divided by the hypotenuse

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


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

The bases of a softball diamond are 60 feet apart. how far is it from home plate to second base

It would be 60 feet because they are 60 feet apart for all the bases.

ANSWERED AT 01/04/2020 - 01:32 PM


QUESTION POSTED AT 01/04/2020 - 01:32 PM

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = . The graph intersects the y-axis at y = 49.

The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors.FALSEThe equation 2x + 7 = 0 can be used to find a zero of the functionTRUE.The equation (2x – 7)2 = 0 can be used to find the y-intercept.FALSEThe graph has a double root at x = .TRUEThe graph intersects the y-axis at y = 49. TRUE

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


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

Can someone help me to find this

Lol i learned that today sorry i didn't get it either

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


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

Find the original price of a pair of shoes if the sale price is $52 after a $20 discount

$72 since the discount was $20 off, so the original price would be $52 + $20, which is $72.

ANSWERED AT 01/04/2020 - 01:28 PM


QUESTION POSTED AT 01/04/2020 - 01:28 PM