A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet an a slant height of 12 feet. The wood used to build the walls of the playhouse costs $3 per square foot. What is the cost of the wood for the walls of the playhouse?

Answers

Answer 1

Answer: We just did these problems in my math class today! Ok, so you need to find the lateral surface area, or the area of the faces/walls. The formula for triangles is

1/2 • base • height. Sub in the #s, it would be 1/2 • 6 • 12

1/2•72

36

So now we know the area of one of the faces is 36inches^2, we can multiply that by 4, which is 144. 144•3($)= $432. To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face!

Step-by-step explanation:


Related Questions

I WILL GIVE BRAINLIEST!!!! - YEAR 9 MATHS!!
ABCD is a square with sides of length 9cm. How many points (inside or outside the square) are equidistant from B and from C, and are exactly 6cm from A?

Answers

Answer: one point only.

Step-by-step explanation:

Since the length of the sides of the square is 9 cm, taking a point outside the square which is equidistant from point B and C will never give exact 6 cm from A.

The only way to achieve this is by taking a equidistant point inside.

You can achieve exactly 6 cm from point A from point between B and C

But can only achieve a single point if it has to be equidistant from point B and C.

Pleaseeeeee helpppppppp i will mark brainlest

Answers

Answer:

B

Step-by-step explanation:

Answer:

B=40°

Step-by-step explanation:

Sum of angles in a triangle =180°

90°+50°+x°=180°

140°+×°=180°

Collect like terms

x°=180°-140°

x°=40°

please i need help..

Answers

Similar shapes have the same angles. These two triangles have no angles in common, so they're not similar.

Two numbers have a sum of 25 and a difference of 5. Find two numbers.

Answers

Answer:

the answer is 15 and 10

Step-by-step explanation:

If the pattern below follows the rules starting with 10 every consecutive line has a number one less than previous line how many marbles must be in the seventh mine
A.7
B.4
C.6
D. Need more information

Answers

Answer:4

Step-by-step explanation:

Just count lol n I did it rn

Answer:

4

Step-by-step explanation:

trust me

Someone please help me

Answers

Answer: The slope is 6

Step-by-step explanation: pic

I hope this helps

Answer:

The slope is:

[tex]m = 2[/tex]

Step-by-step explanation:

-Use the equation to find the slope:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

-Use both points [tex](-1,-5)[/tex] and [tex](2,1)[/tex] for the slope formula:

[tex]m = \frac{1-(-5)}{2-(-1)}[/tex]

-Then , you solve the formula:

[tex]m = \frac{1+5}{2+1}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m = 2[/tex]

So, the slope is [tex]2[/tex] .

A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet. A prism has a length of l, width of 2, and height of 6 feet. Given what you know about the figure, complete these sentences. The area of the square base is feet2. The length of the prism is feet. The width of the prism is feet.

Answers

Answer:

The area of the square base is 16 feet the length of the prism is 4 feet, and the width of the prism is 4 feet.

Step-by-step explanation:

The length of the prism is L = 4 feet

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

A square base has a volume of 96 ft3 and a height of 6 feet. Since the volume of a prism is given by the product of the area of the base and the height, we can find the area of the square base as follows:

Volume = area of base x height

96 = area of base x 6

Area of base = 16 ft²

Now, we are given a prism with length of l, width of 2, and height of 6 feet. Since the base is a square, we can set l equal to the width and solve for it using the area of the base we found earlier:

Area of base = l²

16 = l²

l = 4 feet

Hence , the length of the prism is 4 feet and the width is 2 feet

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What is the equation of the circle with a radius of 5 and center of (2, 3)?
A (x + 2)2 + (y + 3) = 25
B (x + 2)2 + (y + 3)2 = 5
OA
OB.

Answers

Answer:

None of the above.

Step-by-step explanation:

The equation should be (x - 2)^2 + (y - 3)^2 = 25

The standard equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2

where (a,b) are the coordinates of the center and r, the radius.

here the center = (2,3) hence a = 2 , b = 3 and r = 5

Simplify by combining like terms: 9x - 14y + 9 + 13y

Answers

Answer:

9x-y+9

Step-by-step explanation:

so what you do first is combine -14y and 13 y and you get -y

Use the spinner to find the theoretical probability of the event. Type your answer in box below in simplified fraction form.



a. Spinning red ___________


​b. Spinning a 1 __________


c. Spinning an odd number ___________


d.Spinning a 9 _____________

Answers

Answer:

A.) 1/3

B.) 1/6

C.) 1/2

D.) 0

Step-by-step explanation:

Total number of faces on spinner = 6

Probability = (required outcome / Total possible outcomes)

A)

P(spinning Red):

n(Red) / n(total)

n(red) = 2, n(total) = 6

P(spinning red) = 2/6 = 1/3

B.)Spinning a 1 :

n(1) = 1

Therefore, P(spinning 1) = 1/6

C.) spinning an odd number :

Odd numbers = 1,3,5

P(spinning an odd number) = 3/6 = 1/2

D.) spinning a 9:

9 isn't a number on the wheel

P(spinning a 9) = 0/6 = 0

Will mark as brainliest if correct

Answers

Answer:

-2/3

Step-by-step explanation:

The only way the answer could be one is if the exponent is 0

So 3x-2=0:

3x = -2

x = -2/3

Hope this helps!

4. The area of the rectangle shown is 200 square units. Find the value of x.

1 point

Your answer

Answers

Answer: x = 40

Step-by-step explanation:

Here is the complete question:

The area of the rectangle shown is 200 square units. Find the value of x. Width: 8 Length: 1/2x+5

The area of a rectangle is length multiplied by the width.

Area = Length × Width

Area = 200

Width = 8

Length = 200/8 = 25

Since length is 25 and it has bee denoted as 1/2x + 5. This will be:

1/2x + 5 = 25

1/2x = 25 - 5

1/2x = 20

x = 20 × 2

x = 40

Check:

= 1/2x + 5

= (1/2 × 40) + 5

= 20 + 5

= 25

How would I complete this?

Answers

basically you would do length x width

5x and x

6 and 4

Solve for an Angle in right triangles

Answers

Answer:

B = 56.25

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos B = 5/9

Take the inverse cos of each side

cos ^-1 (cos B) = cos ^-1 (5/9)

B =56.2510114

To the nearest hundredth

B = 56.25

como calcular el área de un cono?

Answers

Answer:

La fórmula para el área total de superficie de un cono recto es T. S. A. = π rl + π r 2 . Ejemplo 2: Encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Answer:

La fórmula para el área total de superficie de un cono recto es TSA = π rl + π r

2. Ejemplo

2: encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Step-by-step explanation:

The spinner is divided into 8 equal sections. A spinner divided into 8 equal sections labeled brown, green, red, purple, brown, green, yellow, blue. What is the probability of spinning blue or green? StartFraction 1 over 8 EndFraction StartFraction 3 over 8 EndFraction One-half StartFraction 5 over 8 EndFraction

Answers

Answer:

for bule its 1/8 and green its 2/8

Step-by-step explanation:

The probability of spinning blue or green is equal to 1/4.

What is probability?

The probability of an even tells the chances of occurrence of that event.

Given,

The spinner is divided into 8 equal sections:

brown, green, red, purple, brown, green, yellow, blue

Probability of all the colors is equal.

Therefore,  probability of any color = 1/8

Probability of green = 1/8

Probability of blue = 1/8

The probability of spinning blue or green = Probability of green +

Probability of blue  

                                = 1/8 + 1/8

                                = 2/8

                                = 1/4

Hence, probability of spinning blue or green is equal to 1/4.

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Which statements are true ?

Answers

Answer:

The true statements

Step-by-step explanation:

lol

Brian has 5 marbles, Sarah has 9 marbles, Jimi has 4 marbles, and Juan has 6 marbles. They want to redistribute the marbles so that each person has the same number of marbles. If the marbles are redistributed, then how many should each person get?

Answers

6 marbles per person.

If we count the number of marbles in total, we get 24: 5+9+4+6= 24

Now that we know the Total # of marbles, we need to know how many people we need to distribute marbles to. We count Brian, Sarah, Jimi, and Juan and get 4 people in total.

To find how many marbles each person needs to receive, we then need to do 24 divided by 4.

When we do this, we get 6 marbles per person.

Answer:

6

Each Person should get 6 marbles

Step-by-step explanation:

edg2020

Candice won the lottery for 30000 dollars.However 20% of her money has to go to the state for taxes.How much money will she receive after paying taxes?

Answers

Answer:

She will receive $24,000 after paying taxes

Step-by-step explanation:

This question can be solved using a rule of three.

20% of her money has to go to the state for taxes. So she will receive 100-20 = 80%. $30000 is 100% = 1. How much is 80% = 0.8?

$30000 - 1

$x - 0.8

x = 30000*0.8

x = 24000

She will receive $24,000 after paying taxes

Batman, who is having a slow year for crime, has resorted to saving cats from very tall buildings. Our fearless 6 foot tall hero is 40 feet from the the Petsmart building the cat was trying to break in to, in order to get his paws on the pumpkin spice cat nip. Batman sights the top of the building at a 30° angle, how high is the building?


please answer in square root form

Answers

This makes no sense at all but good luck

how many times smaller is the surface area of a cube if the side length is multiplied 1/2

Answers

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a to the third power and 4a to the third power.

Answers

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

All of the following are radii except

Answers

Answer:

all of the following are radi except ij or ji the other two are right

Step-by-step explanation:

Work out 5/7 of 100
Give your answer correct to the nearest whole number.

Answers

Answer:

71

Step-by-step explanation:

100÷7≈14.1

14.1×5=70.5

70.5 rounded to the nearest whole number is 71

Please help I will mark you as brainliest

Answers

Form triangle is the answer
Form Triangle is your answer
I hope it was helpful

Mary bought more than 72 pencils to distribute to children at an orphanage. She packs these pencils in gift boxes. If she packs 4 pencils each into x gift boxes, the inequality that represents this situation is . The simplified form of the inequality is .

Answers

Answer:

x ≤ 72

Step-by-step explanation:

Which statement is correct regarding the measurements of the parallelogram?
sly
4
(-2,3)
(7,3)
2
1
-3 7-6 -5 -3 -2 -14
2 3 4
5/87
8
X
-2
(-5, 4)
(4,4)
5
-6
O The base is 7 and the height is 7, so the area is 7(7) = 49 square units.
O The base is 7 and the height is 3, so the area is 7(3) - 21 square units.
O The base is 9 and the height is 6, so the area is 9(6) = 54 square units.
© The base is 9 and the height is 7 so the area is 907-63 square units

Answers

Answer:

© The base is 9 and the height is 7 so the area is 907-63 square units

Answer:

The answer is D

Step-by-step explanation:

The base is 9 and the height is 7, so the area is 9(7) = 63 square units

whats the answer to 4(6p+9y)​

Answers

Answer: The answer is 60p.

Step-by-step explanation:

1) You first simplify what is in parenthesis.

         (6p+9p) = (15p)

2) Next, you multiply (15p) by 4.

        4(15p) = 60p

3) You simplified the expression of

        4(6p+9p) to 60p.

Answer correct for brainliest!

Answers

Answer:

Output value

Step-by-step explanation:

Which is equivalent to log Subscript 2 Baseline n = 4?
log n = StartFraction log 2 Over 4 EndFraction
n = StartFraction log 2 Over log 4 EndFraction
n = log 4 times log 2
log n = 4 log 2

Answers

Answer: log n = 4log2

Step-by-step explanation:

The 4th option is correct. The expression [tex]\log n=4(\log 2)[/tex] is equivalent to the given expression.

Important information:

The given expression is [tex]\log_2 n=4[/tex].

We need to find the equivalent equation.

Logarithms:

Using the property of logarithm, the given expression can be written as:

[tex]\dfrac{\log n}{\log 2}=4[/tex]           [tex]\left[\because \log_ab=\dfrac{\log b}{\log a}\right][/tex]

[tex]\log n=4(\log 2)[/tex]

Thus, the 4th option is correct.

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