A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

Answers

Answer 1

This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.

Correct Question

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answer:

A. The slant height of the pyramid = 2.24 yards.

B. The surface area of the composite figure = 12.94 square yards.

C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.

Step-by-step explanation:

A. What is the slant height of the pyramid?

To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:

a² + b² = c²

Where a = Height of the square pyramid represent by h

b = radius of the square pyramid represented by r

c = Slant height of the square pyramid represented by s

Therefore, we have

h² + r² = s²

Looking at the attached diagram, we are given the side length = 2 yards.

The radius of the square based pyramid = side length ÷ 2

= 2÷ 2 = 1 yard.

The height of a square based pyramid = 2 yards

Since , h² + r² = s²

The slant height of the square pyramid is calculated as :

√h² + r² = s

√(2² + 1²) = s

√5 = s

s = 2.24 yards

B. What is the surface area of the composite figure?

We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

Step 1

We find the Lateral area of the faces of the insides of the inverted pyramid

We have 4 faces, Hence,

The formula is given as

a × √( a² + 4h²

a = 2 yards

h = 2 yards

So, = 2 × √( 2² + 4 ×2²

The Lateral area of the faces = 8.94 square yards.

Step 2

Area of the 5 faces of the cube

= a²

Where a = side length = 2 yards

= 2²

= 4 square yards.

Step 3

Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards

= 12.94 square yards.

C. How many cubic yards of concrete are needed to make the planter?

This is calculated by find the Volume of the Square based pyramid.

The formula is given as :

V = (1/3)a²h

Where a = side length = 2 yards

h = height of the square based pyramid = 2 yards

V = 1/3 × 2² × 2

V = 2.67 cubic yards

A Concrete Planter Is Formed From A Square-based Pyramid That Was Inverted And Placed Inside A Cube.

Related Questions

A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2

Answers

There are 52 cards in the deck.

Picking a spade would be 13/52 which reduces to 1/4

After the first card is picked there are 51 cards left, picking a club would be 13/51

Picking both would be 1/4 x 13/51 = 13/204

The answer is C.

The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year

Answers

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°

Answers

Answer:

-tan 20

Step-by-step explanation:

They have the same answer when typed in a calculator

Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ​ ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals

Answers

Answer:

[tex]\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the quotient: [tex]4\dfrac{2}{3} \div 7[/tex]

Step 1: Write [tex]4\dfrac{2}{3}[/tex] in improper fraction.

[tex]4\dfrac{2}{3}=\dfrac{14}{3}[/tex]

Therefore:

[tex]4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7[/tex]

Step 2: Change the division sign to multiplication by taking the reciprocal of 7

[tex]\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

i did it in khan academy

Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?

Answers

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?

Answers

Answer:

Final price f = 0.85x

Step-by-step explanation:

Let f represent the final price and

x is the original price of the lawn mower

Given;

The hardware store is having a 15% off sale on lawn mowers this weekend;

the final sales price,excluding tax will be equal to the original price minus 15% of the original price.

Final price f = 100% of x - 15% of x

Final price f = x - 0.15x

Final price f = 0.85x

Answer:

WHAT IS THE ANSWER?

Step-by-step explanation:

help mehhh

Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.

Answers

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

Can you please help with think im pointing on please is so hard i will give you a Brainiest

Answers

Answer:

40

Step-by-step explanation:

You need to take 30%of 40 to figure it out.

Hope this helps.

Can i get some help pwease

Answers

Answer:

Hey!

Your answer is Y=-5x-6

Step-by-step explanation:

Using the formula y=mx+c...

m=slope c=y-intercept

The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)

The m is the slope do we write the slope value (-5)

Which forms y=-5x-6

HOPE THIS HELPS!!


Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

cos A = 0.31, sin B = 0.89, tan C = 0.52

Answers

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.

Answers

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]

[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]

[tex]\angle R=29^{\circ}[/tex]

[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]

[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]

[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]

[tex]r=53.7604351[/tex]

Upon rounding to nearest tenth, we will get:

[tex]r\approx 53.8[/tex]

Therefore, the length of r is approximately 53.8 inches.

On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?

(x – 4)2 + (y – 5)2 = 2
(x – 4)2 + (y – 5)2 = 4
(x – 5)2 + (y – 4)2 = 2
(x – 5)2 + (y – 4)2 = 4

Answers

Answer:

(x - 4)² + (y - 5)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, 5) and r = 2, thus

(x - 4)² + (y - 5)² = 2², that is

(x - 4)² + (y - 5)² = 4 ← second option on list

The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

Equation of a circle

The standard equation of a circle is expressed as:

(x-a)^2  + (y-b)^2 = r^2

where:

(a, b) is the centre = (4, 5)

r is the radius = 3 units

Substitute to have;

(x-4)^2  + (y-5)^2 = 2^2

(x-4)^2  + (y-5)^2 = 4

Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2  + (y-5)^2 = 4

Learn more on equation of circle here: https://brainly.com/question/14150470

Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14

Answers

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Can someone help me on this

Answers

Answer:

1. C) quadratic

2. b) exponential

Step-by-step explanation:

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

What is the surface area of a cube in which each face of the cube has an area of 7 cm??

Answers

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

Plis help I need help

Answers

Answer:

meee tooo

Step-by-step explanation:

helpplppppppp

Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.

  9) All points with a y-coordinate of 0 will always lie on the x axis.

Step-by-step explanation:

30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.

Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

what is 10 + x = 24?

Answers

Answer:

x=14

Step-by-step explanation:

subtract 10 on both sides

24-10=14

x=14

Answer:

x = 14

Step-by-step explanation:

10 + x = 24

-10

x=14

( You subtract 10 from both sides. 24-10 =14. Therefore x =14

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.

Answers

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?

Answers

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

 

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

1 3 4 21
+ = + =
7 4



Answers

Answer:

i tried so i hope this helps you

1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR

Answers

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...

Answers

Answer:

158 degrees

Step-by-step explanation:

Step 1:

Let Angle CDE =y

Since Angle BCD = 2 X angle CDE

Angle BCD = 2y

Step 2

Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.

By these properties of Isosceles Trapezoids

Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angle

Therefore:

[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]

123+2y+y=360

3y=360-123

3y=237

y=79 degrees

Therefore:

[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]

find -2-(-.7)
help me plz :(

Answers

Answer: 5

Step-by-step explanation:

two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)

Answer:

5

Step-by-step explanation:

you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign

since the 2 signs are different you will need to subtract.

so 7-2 equals 5 and you put the bigger number's sign which is positive

how to simply this equation

Answers

Answer:

[tex]\sqrt[3]{2}[/tex]

Step-by-step explanation:

     18

 9 .     2

3 3

Explain what the similarities and difference between y=2cosx and y=2cosx-3.

Answers

Answer:

(See explanation for further details)

Step-by-step explanation:

Similarities: Both expression have the same slope for the same values of x.

Difference: The second expression is a translated form of the first function in -3 units.

Someone help me pleaseeee

Answers

Answer:

you have to add all the angles including 'x' which is equals to 180°.

The process is

99+49+x=180

148+x=180

x=180-148

x=32.

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