Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will he need?

A square pyramid with a base of 4 meters by 4 meters and triangular side heights of 3 meters.

16 meters squared
24 meters squared
36 meters squared
40 meters squared
ITS NOT 24

Answers

Answer 1

The amount of fabric Henri will need is 40 meters squared

The amount of fabric Henri will require is the surface area of the square pyramid.

What is the surface area of the square spyramid?

The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides

Area of square base

The area of the square base is A' = L² where L = length of base = 4 m

So, A = L²

= (4 m)²

= 16 m²

Area of triangular side

The area of the triangular side is A" = 1/2Lh where

L = length of base = 4 m and h = height of triangle = 3 m

So, A" = 1/2Lh

= 1/2 × 4 m × 3 m

= 1/2 × 12 m²

= 6 m²

Since there are 4 triangular sides, the area of the sides of the pyramid is

4A" = 4 × 6 m²

= 24 m²

Amount of fabric Henri will need

Since the amount of fabric Henri will need is the surface area of the square pyramid,

So, The surface area of the square pyramid, A = A' + 4A"

= 16 m² + 24 m²

= 40 m²

So, the amount of fabric Henri will need is 40 meters squared

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Related Questions

What value of x makes 6x + 5 equal to 12?​

Answers

Answer:

x = 7/6

Step-by-step explanation:

6x+5 = 12

Subtract 5 from each side

6x+5-5 = 12-5

6x = 7

Divide each side by 6

6x/6 = 7/6

x = 7/6

Answer:

x=7/6

Step-by-step explanation:

6x+5 = 12

subract 5 from both sides

6x = 7

divide by 6 on both sides

x=7/6

1/3 times 1/4 a,1/12 b,1/16 c,1/7 or d, 1/2

Answers

Answer:

a,1/12

Step-by-step explanation:

About 35% of all U.S. households have a cellular phone. If you called 7 households what's the probability that, a. All 7 households have a cellular phone? a= b. Exactly 4 households have a cellular phone? b = c. Fewer than 2 households have a cell phone? c = d. At least 6 households have a cellular phone? d = e. At least 1 household has a cellular phone? e =

Answers

Answer:

p = 0.35

q = 0.65

n = 7

Step-by-step explanation:

To calculate the distribution, we have the following values;

p = 35% = 35/100 = 0.35

q = 1-p = 1-0.35 = 0.65

n = 7

A substantial majority of Americans are cellphone owners across a wide range of demographic groups. By contrast, smartphone ownership exhibits greater variation based on age, household income and educational attainment. Source: Survey conducted Jan. 8 to Feb. 7, 2019. Along with mobile phones, Americans own a range of other information devices.

чаm
What is the area of the figure?
6 cm
5 cm


PLS HELP. DUE SOON- ILL GIVE BRAINLIESt

Answers

Answer:

[tex] 40 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 6 cm by 5 cm + Area of triangle with base 5 cm and height 4 cm

[tex] = 6 \times 5 + \frac{1}{2} \times 5 \times 4 \\ \\ = 30 + 10 \\ \\ = 40 \: {cm}^{2} [/tex]

Find an equation of the line containing the points (1,4) and (3,18).

Answers

Answer:

y=7x-3

Step-by-step explanation:

(1,4). y=mx+b or 4=7 × 1+b, or solving for b: b=4-(7)(1). b=-3.

(3,18). y=mx+b or 18=7 × 3+b, or solving for b: b=18-(7)(3). b=-3.

hence, y=7x-3

This is the slope intercept form for the points, not sure if you wanted it in standard form or point slope form...

Answer:

y = 7x

Step-by-step explanation:

[tex]\frac{18-4}{3-1}[/tex] = [tex]\frac{14}{2}[/tex] = 7

y = 7x

if it's a  multiple choice question, any equation with a slope of 7

What is the quotient of 15,048 and 76​

Answers

Answer:

If you mean 15,048 ÷ 76, the quotient is 198.

If you mean 76 ÷ 15,048, the answer is 0.00505050505. But I doubt that’s what you mean.

The quotient for the given problem is 198.

What is division?

Division is a simple operation in which a number is divided. The splitting of a large group into smaller groups such that every group will have an equal number of items.

By using division concept, we can find the quotient when the divisor is divided by the dividend.

The divisor is 15048

The dividend is 76

Division is performed by using the division operator ÷

⇒ [tex]15048[/tex] ÷ [tex]76[/tex]

⇒ [tex]198[/tex]

Hence the quotient for the given problem is 198.

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A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
15 in.
20 in.
300 in.
600 in.
ITS NOT 20 I TOOK THE TEST AND GOT IT WRONG

Answers

Answer:

15 in.

Step-by-step explanation:

Volume of rectangular prism = length × width × height

Length = 30 in

Width = 20 in

Height = x

Volume of rectangular prism = 9000 in³

Volume of rectangular prism = length × width × height

9000 = 30 × 20 × x

9000 = 600x

x = 9000/600

x = 15 in

Answer:

15

Step-by-step explanation:

the formula of finding the volume of a rectangular prism is base times height. the base dimensions are 20*30 so its 600 square inches, 9000/600=15.

What is the perimeter of thsi shape ??!

Answers

Answer:

D. 180 mm

Step-by-step explanation:

At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:

20 + 20 = 40

60mm - 40mm = 20mm

60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm

180 mm

An investment doubles its value in 3 years. A) what is the average rate of change in the value of this investment over the 3 year period? B) what continuously compounded interest rate would yield this return?

Answers

the average rate of change is period B

HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4

Answers

the answer would be b

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

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What is the area of the parallelogram?



36 m 2
18 m 2
24 m 2
72 m 2

Answers

Answer:

I would need the picture please

Step-by-step explanation:

Thank you! Let me know when you've added the question!

You can just give me the height and base.

Find the missing length of the triangle b 0.3 cm 0.5 cm​

Answers

Answer:

I'm assuming that it is a right angle triangle.

Step-by-step explanation:

0.3x0.5=0.15

0.15/2=0.075

missing length is 0.075

A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.

Answers

Answer:

look at the picture i sent......

angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil​

Answers

Answer:

i have tht too but i dont know the answrr :(

Step-by-step explanation:

1 pint is 2 cups, so angie needs 4 pints. The answer is $16

PLEASE HELP


I am quite confused

Answers

Im guessing it’s letter B
I actually believe it’s A because you have the smaller number in front for both equations

One fourth of a square pizza is 9 slices solve the equation 1/4s =9 to find how many slices are in the pizza. PLZ help

Answers

Answer: There is a total of 36 slices of pizza.

You opened a checking account with $250 and have been spending $35 every week. How much will
you have your account after 6 weeks?
$35
$40
$210
$75

Answers

Answer:

$35

Step-by-step explanation:

multiply 35 by the number of weeks (6) to get $210, subtract $210 from $250 to get $35

4) Jerry cuts a piece of paper from one corner to the other, as shown. How long is the cut edge (look at photo)

A) 20 cm
B) 30 cm
C) 40 cm
D) 50 cm

Pls don’t put answer in a link

Answers

The required length of the cut edge will be 50 cm. which is the correct answer would be an option (D).

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The piece of paper from one corner to the other, as shown figure.

Let the length of the cut edge would be x cm, which is equal to the hypotenuse in the given right triangle.

According to Pythagoras's theorem,

⇒ c² = a² + b²  ....(i)

As per the given question, we have

c = x, a = 40 cm and b = 30

Substitute the values in the above formula, and solve for x

⇒ x² = 40² + 30²

⇒ x² = 1600 + 900

⇒  x² = 2500

⇒  x² = 50²

⇒  x = 50

Therefore, the required length of the cut edge will be 50 cm.

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$35,200 at 2% for 2 years

Answers

Answer:

Um 1408

Step-by-step explanation:

2% of 35,200 is 704 and 304*2= 1408

Answer:

36622.80

Step-by-step explanation:

I don't know how to do it I used an app on my phone

Which alternative is the NEGATIVE reciprocal of 1/3?
А. - 3
B. 1/3
C. 1/3
D3

Answers

Answer:

it's -3 buddy

lots of love

keep learning

Use the dropdown to complete the following inequality​

Answers

Answer:

c+2<1

Step-by-step explanation:

Since c is located slightly less than -1, and -1+2 = 1; then adding 2 to c would make it slightly less than 1.

Hi guys I need your help here I'll give 100 points and also brainiest no link's please I need this by today thank you : )​

Answers

Answer:

#2

CD  ║ EF and ED is transversal, hence

∠CDE ≅ ∠FED ⇒ m∠CDE = m∠FED ⇒ m∠CDE = 28° as alternate interior anglesm∠CDB = 160° - 28° = 132°

We can see that:

m∠CDB + m∠ABD = 132° + 48° = 180°

Since the angles CDB and ADB sum to 180, these are consecutive interior angles, therefore AB and CD are parallel lines.

#3

PU and QT are parallel and PT is transversal, therefore:

∠UPT ≅ ∠QTP as alternate interior anglesm∠UPT = m∠QTP = 42° or x = 42°

Now find the missing angles of ΔQTP

x + 40° = 42° + 40° = 82°y = 180° - (42° + 82°) = 56°

Now, we see that:

m∠TPQ = 82°m∠SQR = 82°

As  ∠TPQ ≅ ∠SQR  these angles are corresponding angles.

Therefore PT and SQ are parallel lines.

A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 1/6 of a bag. How many bird feeders can be filled with the bird seed?

Answers

Answer:

84 bird feeders can be filled

Step-by-step explanation:

Considering there is 14 bags, all you'd have to do is see how many bird feeders can be filled... and to do that, just multiply 14 x 6, because it every bag fills up 6 feeders.  14 x6 =84 bird feeders can be filled.

 

Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about

Answers

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

Can someone help me find out how to solve this problem I just need to find what function to use

Answers

Answer: tangent

Step-by-step explanation: from the diagram the adjacent and the opposite are given. From SOHCAHTOA , tan is the only trig ratio with opposite and adjacent.

Thus tan teta= opposite÷adjacent

tan teta= 3÷6= 0.5

teta=tan invers of 0.5

=26.6°

can someone please help?

Answers

Answer:

C

Step-by-step explanation:

hope this helps i think it's right

C. Is correct so pick it bum

Ray is late for work but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical and has a height of 9 cm and a base of 7 cm. What is the volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?

A) 113 cm3.
B) 326 cm3.
C) 346 cm3.
D) 424 cm3.

Answers

Answer:

V,cube = sidelength^3

V,cube = (1 cm)^3

V,cube = 1 cm^3

Since there are 20 ice cubes, V = 20 cm^3

V,cylinder = pi * r^2 * h

V,cylinder = 3.14 * 3.5^2 * 9

V,cylinder = 346.185 cm^3

This is the volume of mug when full.

Since 20 cm^3 is allotted for the ice cube, thus,

346.185 - 20 = 326.185 cm^3

Yes it's B.

Hope this helps~ `u`

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZ

The correct answer is b 326 cm3

Consider p(x) = 3x^3+ax-5a
The polynomial p(x) leaves a remainder of -7 when divided by (x-a).
Show that only one value of a satisfies the above condition and state its value.

Answers

Answer:

3aw 3aw 3aw 3aw 3aw 3aw 3aw


Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred spun the spinner 500 times. Which of
the following would be a good estimate of the number of times the spinner lands on the green section?

Answers

Answer:

125 times ..................... but it's not their so c is correct

How do I solve this problem?

Answers

Answer:

3240

Step-by-step explanation:

Sum=n/2(2a+(n-1)d)

=80/2(2*1+(80-1)1)

=40(2+79)

=40*81

=3240

Answer:

6480.

Step-by-step explanation:

This is an arithmetic series with  first term 2, last term 160 and common difference 2.

Sum = n/2 [ a1 + L)

= (80/2)(2 + 160)

= 40 * 162

= 6480.

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