A monument is made in the form of a pyramid with a regular pentagon as a base. Each side of the base is 3 m long and has a slant height of 24 m. If the monument is to be covered by a metal, how many square meters of metal is needed to cover the faces of the pyramid?

Answers

Answer 1

Answer:

180m²

Step-by-step explanation:

In order to solve this question, we have to find the area of the pyramid with a pentagonal base.

This pyramid has slant height = 24m

Since the base is a pentagon, it means it is 5 sided.

Each side of the base = 3m

The area of the pyramid = 1/2 × 5(side length) × slant height

= 1/2 × 5(3) × 24

= 180m²

Therefore, the square meters of metal needed to cover the faces of the pyramid = 180m²


Related Questions

The linear equation y=45x describes how far tracy is as she drives from san francisco to dawson. Let x represent the number of hours and y represent the number of miles. How far from home is tracy in 12 hours

Answers

Answer: 540 miles

Step-by-step explanation:

plug in the numbers into the equation

multiply and ta-da

Answer:

540 miles

Step-by-step explanation:

y = 45(12) = 540

What wiuld the abwser be to (-x=20) pls show work

Answers

Answer:

x=-20

Step-by-step explanation:

Just put the x on the other side of the equation

The answer would be -20. -20 x -1 = 20, the two negatives cancel each other out

Solve each system by substitution. 6) -8х - бу = 14 y = 4x - 13​

Answers

8268 is the answer to your question

for every rational number x,x×0=x true' or false​

Answers

Answer:

false

Step-by-step explanation:

because any number with power "0" always gives 1

Answer:

False

Step-by-step explanation:

[tex]x \in \mathbb{Q}[/tex]

[tex]x \cdot 0=x[/tex]

This statement is false.

Take the example:

[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]

[tex]$\frac{1}{2} \cdot 0=0$[/tex]

The product of any number and 0 is 0.

The graphic organizer represents the sets of all rational numbers. What could be the value of A

Answers

Answer:

The correct option is;

B) 0

Step-by-step explanation:

Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers

Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....

Answer: Its B.) 0

Step-by-step explanation:

Tally Lake is 11.25 miles long. Mary starts at one end and kayaks toward the other end, paddling at a constant rate of 2.5 miles per hour. At the same time, Ann starts out from the opposite end and paddles toward Mary at a constant rate of 2 miles per hour. How long will it take for the girls to meet?

Answers

Answer:

2 and a half hours

Step-by-step explanation:

Hello!

To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0

2.5 + 2 = 4.5

11.25 - 4.5 = 6.75  First hour

6.75 - 4.5 = 2.25  Second hour

2.25 is half of 4.5  and half an hour is 30 minutes

2.25 -2.25 = 0 half hour

It will take them 2 and a half hours

The answer is 2 and a half hours

Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

to in a half hours hopefully this helps

Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first and landed 3 arrows in the outer ring and 3 arrows in the bull's-eye, for a total of 267 points. Joey went second and got 4 arrows in the outer ring and 3 arrows in the bull's-eye, earning a total of 281 points. How many points is each region of the target worth? The outer ring is worth ____ points, and the bull's-eye is worth ____ points.

Answers

Answer:

outer ring worth 14 pts

bull's-eye worth 74.333333 pts

Step-by-step explanation:

let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"

For amelia

[tex]3x + 3y = 267[/tex]

For joey

[tex]4x + 3y = 281[/tex]

subtracting the first equation from the second

[tex]x = 14[/tex]

[tex]3x + 3y = 267[/tex]

[tex]42 + 3y = 267[/tex]

[tex]3y = 223[/tex]

[tex]y = 74.333[/tex]

Simplify -5(20 + 3). 85 -115 -97 -103

Answers

Answer:-115

Step-by-step explanation:

Use distributive property!

-5 times 20 = -100

-5 times 3 = -15

-100 - 15 = 115

Answer: the answer is -115

Step-by-step explanation:

Pls helppppp 25 pt and brainiest for whoever answers it right.

Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3.

Answers

Given:-

Perimeter of parallelogram = 66 ft

One side,a = 3x + 1

Other side,b = 2x - 3

To find out:-

Find the longest side of a parallelogram.

Formula used:-

Perimeter of parallelogram = 2 ( a + b )

Solution:-

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5

Answers

Answer:

9x - 5  

Step-by-step explanation:

Simplify:

(4x − 6) + (5x + 1) =        ⇒ opening parenthesis 4x - 6 + 5x +1 =              (4x+ 5x) + (1 -6) =           ⇒ grouping like terms9x + (- 5) =                     ⇒ simplifying like terms9x - 5                             ⇒ answer

Correct choice: B. 9x -5

Answer:

9x - 5

Step-by-step explanation:

What are the coordinates of graphs origin?

Answers

Answer:

nose  que sad es tu vida

Step-by-step explanation

.:{

Which of the following statements about the box plot is true? Min: 4 Max: 16 First Quartile:8 Third Quartile:16

Answers

Answer:

Third Quartile: 16

Step-by-step explanation:

In the box plot given, the five-number summary displayed are:

1. Min = 2

2. First quartile = 4

3. Median = 8

4. Third Quartile = 16

5. Max = 20

Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.

Write a problem based on the given information.

P = Cost of dinner

0.15p = cost of a 15% tip

P + 0.15p = 23

Answers

Answer:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

the cost of the dinner = $20

Step-by-step explanation:

Given that:

p= cost of dinner

0.15p = cost of a 15% tip

p + 0.15 p = 23

The objective is to represent this problem in words based on the given information.

From above, we can say that:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

SO;

p + 0.15 p = 23

1.15 p = 23

Divide both sides by 1.15

p = 23/1.15

p = 20

Therefore, the cost of the dinner = $20

A farmer takes 8 days to cultivate a plot of land i ha in area. What area
of land will he cultivate in 20 days working at the same rate?

Answers

More information is needed

The farmer took 8 days to cultivate one and a half hectares (15000 m^2)

so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.

20 days = 0.1875 x 20

             = 3.7500 hectares

hope it helped!

The sum of two numbers is 6, their difference is 4, find the two numbers. What is their product?

Help as soon as possible. Thanks <3

Answers

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

Find the area of the parallelogram.

a. 70cm
b. 80 cm
c. 224 cm
d. 60 cm

Answers

Answer:

c. 80 cm

Step-by-step explanation:

Area of a parallelogram = base × height

A = 16 cm × 5 cm

A = 80 cm

Answer:

b. 80 cm

Step-by-step explanation:

[tex]Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm[/tex]

Does anyone know this?

Answers

Answer:

Hey there!

The domain is the range of all the x values.

Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.

Let me know if this helps :)

simplfy 2x-6 ( 3y- 4x)- 5y

Answers

Answer:

26x-23y

Step-by-step explanation:

1. expand the terms 2x-18y+24x-5y

2. combine like terms 26x-23y

3. The product of a rational number and an irrational number is always irrational except
when the rational number is 0.
Explain why

Answers

Answer:

This is because anything multiplied by zero is zero itself.

Step-by-step explanation:

Ex: Multiply

[tex] 2 \times \sqrt{2} [/tex]

Here 2 is rational and root. 2 is irrational.

Their product is

[tex]2 \sqrt{2} [/tex]

Which is irrational.

But if you have

[tex]0 \times \sqrt{2} [/tex]

Where 0 is rational and root .2 is irrational.

Their product is

[tex]0[/tex]

Whis is rational.

Hope this helps... :-)

What’s the answer to this ???

Answers

Answer:

m<PKN = 270 - m<JKP

Step-by-step explanation:

m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270

m<PKN + m<JKP = 270

7n +9 = -1+6(n+4)
can someone walk me through this please?​

Answers

Answer:

n = 14

Step-by-step explanation:

7n +9 = -1+6(n+4)

Distribute

7n+9 = -1 +6n+24

Combine like terms

7n +9 = 6n +23

Subtract 6n from each side

7n -6n+9 = 6n-6n +23

n+9 = 23

Subtract 9 from each side

n+9-9=23-9

n = 14

please someone help me...​

Answers

Step-by-step explanation:

x cos θ + y sin θ = x cos β + y sin β

Let's say x = cos A, and y = sin A.

cos A cos θ + sin A sin θ = cos A cos β + sin A sin β

Use angle sum formula.

cos(A − θ) = cos(A − β)

A − θ = ±(A − β)

A − θ = β − A

2A = θ + β

A = (θ + β) / 2

cot A = cot((θ + β) / 2)

x/y = cot((θ + β) / 2)

Take a look at the explanation below. It proves that 'x / y = cot(θ + β / 2)' using a different method.

If m // n and n // o and p is a transversal, find the
following;
Which are corresponding angles?
which are alternate interior angles?
which are alternate exterior angles?
which are same-side interior angles?
Which are vertical angles?
which are supplementary angles?

Answers

Answer:

See below.

Step-by-step explanation:

Here is one pair of angle of each type. There are more correct answers.

corresponding angles: <K, <O

alternate interior angles: <N, <P

alternate exterior angles: <I, <S

same-side interior angles: <N, <Q

vertical angles: <P, <R

supplementary angles: <J, <M

Maths Answers please
4p-p

Answers

Answer:

              3p

Step-by-step explanation:

4p - p = 4p - 1p = (4 - 1)p = 3p

Given the following: f(x)=30x-7;\;g(x)=13-2x;\;and\;h(x)=6xf(x)=30x−7;g(x)=13−2x;andh(x)=6x Complete the following: f(g(x))f(g(x)) 60x-39260x−392 33-6x33−6x -60x+383−60x+383 390-13x390−13x

Answers

The composite of functions f(x) and g(x) is given by:

[tex](f \circ g)(x) = -60x + 383[/tex]

What is a composite function?The composite function of f(x) and g(x) is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this problem, the functions are:

[tex]f(x) = 30x - 7[/tex]

[tex]g(x) = 13 - 2x[/tex]

Hence, the composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383[/tex]

You can learn more about composite functions at https://brainly.com/question/17684028

Simplify the following problem, explaining each step.
13 - 4(x - 5)
Example: 4x - 3 + 2x - 6
Step Explanation
1. 6x - 3 Add 4x and 2x BECAUSE they are like terms (same variable)
a) What are the important key words or information needed from this problem?

Answers

Answer:

[tex]33 - 4x[/tex]

Step-by-step explanation:

Given the term to be solved by explaining each step:

[tex]13 - 4(x - 5)[/tex]

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

[tex]4(x-5)[/tex]

Now, 4 will be multiplied with [tex]x[/tex] and -5.

i.e.

[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]

Now, let us put the value back in the original expression.

[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]

Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20

[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

[tex]\therefore[/tex] the expression is equivalent to :

[tex]\bold{33-4x}[/tex]

Find the value of x. A. 64 B. 244 C. 74 D. 52

Answers

Answer:

             A. 64°

Step-by-step explanation:

x = 360° - 2•90° - 2•58° = 64°

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in T(d) for the interval d = 4 and d = 10 is 0. Which statement must be true?

Answers

Options :

a. The same number of tickets was sold on the fourth day and tenth day.

b. No tickets were sold on the fourth day and tenth day.

c. Fewer tickets were sold on the fourth day than on the tenth day.

d. More tickets were sold on the fourth day than on the tenth day.

Answer:

a. The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given that the average rate of change in T(d), a function used to relate the number of tickets sold for a movie to the number of days since its release is 0 for interval: d=4 and d=10.

Rate of change measures the change in quantity in relation to another, in the scenario it could be interpreted as, the change in quantity of ticket t sold with respect to change in the number of days since the movies was released.

Therefore, if the average rate of change obtained for d =4 and d = 10 gives 0, then it could be inferred that the value of T(d) on both days are the same.

[T(10) - T(4)] / 2 = 0

Then T(10) = T(4)

Answer:

1st option A

Step-by-step explanation:

Plz help ASAP WILL MARK BRAINLIEST

Answers

Answer:

B.

Step-by-step explanation:

3/5 = 0.6

11/26 = 0.423

Answer:

 b

Step-by-step explanation:

3/5 ⇒0.6

11/26⇒0.423

option a is wrong as

         0.6 is not less than 0.432

option  b is correct as

        0.6 is greater than 0.4

option c is wrong as

            0.6≠0.432

Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help!

Answers

Answer:

x + y + z = - 22

Step-by-step explanation:

Reciprocal of a : - 6,

Reciprocal of b : 2

Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.

Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,

z = 2(- 6) / 2

= - 12 / 2 = - 6

And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.

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