A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
17 cm
15 cm
15 cm
os
16 cm
16 cm

A Square Pyramid And Its Net Are Shown Below. What Is The Surface Area Of The Pyramid?17 Cm17 Cm15 Cm15

Answers

Answer 1

Answer:16

Step-by-step explanation:I am doing the test :D

Answer 2

The surface area of the square pyramid is S = 736 cm²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Let the side length of the pyramid be s = 16 cm

So , Area of base B = (side length)² = 16² = 256 cm²

Next, let's find the area of each triangular face. Since the pyramid is a regular square pyramid, all the triangular faces are congruent.

The base is one side of the square base, which has length 16 cm. The height of the triangle is the slant height of the pyramid, which is given as 17 cm.

Using the Pythagorean theorem, we can find the height of the pyramid:

Height of the pyramid h = √(slant height² - ( base/2 )²)²

h = √(17² - 8²)

h = √225

h = 15 cm

Therefore, the area of each triangular face is:

Area of triangular face = (1/2) × base × height

Area of triangular face = (1/2) × 16 × 15

Area of triangular face = 120 cm²

Since there are 4 triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 480 cm²

Finally, we can find the total surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Total surface area = Area of base + Total area of triangular faces

Total surface area = 256 + 480

Total surface area = 736 cm²

Hence , the surface area is 736 cm²

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Related Questions

Last month, customers at a gift shop bought 40 birthday cards,
19 congratulations cards, 20 holiday cards, and 21 thank you
cards. Suppose 125 customers buy greeting cards next month.
How many would you expect to buy a birthday card?

Answers

Answer:

32 People

Step-by-step explanation:

I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)

A system of linear equations for the variables x and y is shown.
y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.

Answers

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

What is the product (7 times 10 to the power of -5) times (5 times 10 to the power of -8)

Answers

Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^−12

Step-by-step explanation:

in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12

A. Graph B and Graph D

B. Graph A only

C. Graph C and Graph D

D. Graph D only

Answers

Answer:

A is correct answer

Step-by-step explanation:

like me

7/8 x 1/3 x 2/3 in fractions

Answers

Answer:

14/72

Step-by-step explanation:

Just line them all up and multiply numerators with numerators and denominators with denominators. You have your answer.

The answer is 14 72
Hope it helps

3. When pasta is cooked, it doubles in weight. When Ms. Morrison finished cooking
pasta for her family, the cooked pasta weighed 550 gram. How much did it
weigh before she cooked it?

Answers

Answer:

275

Step-by-step explanation:

550 divided by 2 is 275.

2 regular pizzas and 3 small pizzas cost £22 6 regular pizzas and 12 small pizzas cost £78
find the cost of one each ​

Answers

Answer:

Regular pizza: £5

Small pizza: £4

Step-by-step explanation:

Let x = regular pizza

Let y = small pizza

6x + 12y = 78

2x + 3y = 22

I'm going to use elimination method to solve for y

6x + 12 y = 78

-3(2x + 3y = 22) = -6x -9y = -66

Eliminate the x

3y = 12

Divide both sides by 3

3y/3 = 12/3

y = 4

Substitute the y in one of the original equations

2x + 3(4) = 22

2x + 12 = 22

Subtract both side by 12

2x + 12 - 12 = 22 - 12

2x = 10

Divide both sides by 2 to solve for x

2x/2 = 10/2

x = 5

Answer:

small  $3.4   regular $6.2

Step-by-step explanation:

2r +3s = 22.6

6r *12s = 78

Multiply the first  by -3

-6r -9s = -67.8

6r +12 s = 78

Add both (6r will be cancelled)

   3s = 10.2

s = 3.4   small = 3.4   (3 small = 10.2)  

2r +10.2 = 22.6

2r =  12.4

r = 6.2

I really need help!! Thank you in advance!!! No links! ;w;

Harmon’s Jewelry Store receives a shipment of jewelry. 485 pieces are good but 15 pieces arrived damaged. At this rate, if Mrs. Harmon places an order of 5,500 jewelry pieces, how many can she expect to be damaged?

Answers

hope this helps

Step-by-step explanation:

first you divide 5,500 by 485(5,500/485), then you will get 11.34, and since you cannot buy half of something, you will have to round down to 11. then you multiply 11 by 15 (11 X 15) and you will get 165, so then you go back and subtract 165 from 5,500 (5,500-165)  and there is your answer (5335).

Answer:

the answer is 5335.

I need answer Immediately pls!!!!!!

Answers

Answer:

14 players.

Step-by-step explanation:

The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.

993.5 + 74.25p = 2033

74.25p = 1039.5

p = 14

PLEASE HELP! which prism has the greatest volume?

Answers

Answer:

The cube is the answer.

Step-by-step explanation:

The rectangular prism has a volume of 112.

The second rectangular prism has a volume of 81.

THe third rectangular prism has a volume of 108.

The cube has a volume of 125.

Hope it helps!

Kavitha

Answer:

[tex]volume \ of \ cuboid = lbh[/tex]

[tex]volume \ of \ first \ prism = 112cm^3\\\\volume \ of \ second \ prism = 81cm^3 \\\\volume \ of \ third \ prism = 108cm^3\\\\volume \ of \ fourth \ prism = 125cm^3[/tex]

Last prism with sides 5 x 5 x 5 has the greatest volume

Help need help cause I don’t understand stand

Answers

Answer:

A

Step-by-step explanation:

just cut off one side and add it to the other thats how you solve paralellograms

Answer: 6 x 7?

Step-by-step explanation: To find the area of a parallelogram it's base times height.

I need help asap!!
if p= -1, 5 Rx axis (P)

Answers

Answer:

P'(7, 5)

Step-by-step explanation:

Rule for the transformation of a point [tex]R_{x=1}(P)[/tex] defines,

Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.

Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.

Distance between the line and a point (-1, 5) = 4

Therefore, distance between the line and the image point = 4

Coordinates of the image point will be,

P'(3, 5)

Please help me now



If Rectangle ABCD is rotated 90° counter-clockwise about Point A, what will be
the coordinates of the vertex C'?
A. (-3, -1)
B. (-4,1)
C. (5, 4)
D. (-6, 5)

Answers

Answer:

A

Step-by-step explanation:

The answer should be A. If you rotate it around point A the rectangle would be up right on the x axis

The answer to the question is A

Find the values of x and y in the diagram.

Answers

Answer:

x =4 and y =1

Step-by-step explanation:

Triangle ADB is an equilateral triangle that means the side a 3 unit each

so,

y + 2 = 3

y = 1

Triangle DBC is an isosceles triangle that means two legs are equal

So,

y + 2 = x -1

we already know that y+2 = 3

So,

3 = x -1

4 = x

hhhhhheeeeeeeeeeelllllllppppppp

Answers

Answer: Last answer

Step-by-step explanation:

PLEASE HELP!!! I WILL GIVE BRAINLIEST TO THE FIRST PERSON!!!

Answers

Answer:

c

Step-by-step explanation:

The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2in what is the minimum amount of extra cardboard needed to construct a new box The dimensions of the box is 5 in high 16 in in width and 20 in in length

A. 84in^2

B. 116in^2

C.132in^2

D.160in^2

Answers

The minimum amount of extra cardboard needed to construct a new box is : 84in².

What is the minimum amount of extra cardboard needed?

First step

Surface area=2(16) (5) in²+ 2(20in) (5in)  + 2(16in) (20in)

Surface area=1000in²

Second step

Surface area if the length increase by 2 inches

Surface area=2(16) (5) + 2(20+2) (5in)  + 2(16in) (20+2)

Surface area=1084in²

Third step

Surface area=1084in²-1000in²

Surface area=84in²

Therefore the minimum amount of extra cardboard needed to construct a new box is : 84in².

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General formula for
6 ; 8 ; 10 ; 12​

Answers

Answer:

[tex]an=2n+4[/tex]

Step-by-step explanation:

Ajar contains 20 marbles, of which 4 are red, 12 are black, 3 are green, and 1 is
yellow.
What is the probability that a randomly selected ball is green?

Answers

Answer:

3/20

Step-by-step explanation:

FORMULA: amount of green balls of amount of total balls

PLUG IT IN: 3/20

30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0

Answers

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

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FIND THE SURFACE AREA FOR THE FIGURE BELOW AND SHOW WORK. PLEASE HELP ASAP

Answers

Answer:

247.21

Step-by-step explanation:

equation for height :  c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

A dinner at Chili’scosts you $32. At this restaurant, there is a 6% sales tax. However, you have to payfor a tip, which is 15%. What is your final total after finding the sales tax and calculating the tip?

Answers

Answer:dasda

Step-by-step explanation:adsdad

if f,g and h are midpoints of the sides of the triangle jkl, fg=40, kl=52 and gh=26, find each measure

Answers

Answer: The measure of JK is 60 and the correct option is d.

Explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

By midpoint theorem,

Therefore the measure of JK is 60 and the correct option is d.

OMG I NEED HELP PLSSSSSSSSSSS
WHATS 1 + 1?
ILL MAKE U BRAINLIEST IF U ANSWER SO PLS HELP ME

Answers

Answer:

2

Step-by-step explanation:

Answer:

1+1 = 2.

If you had one apple, and I gave you one more, you would have 2 apples.

Help! Please and Thank you!

Answers

Answer:

1/26

Step-by-step explanation:

The probability is 1/26 because there are 26 letters on a keyboard!

please helppppppppppp​

Answers

Answer:

f(10) = 3

Step-by-step explanation:

If f(x) = [tex]-\frac{3}{5} x + 9[/tex] , in order to find the result for f(10) we just need to substitute 10 instead of x and we will get...

[tex]f(x) = -\frac{3}{5} x + 9\\\\f(10) = -\frac{3}{5} (10) + 9\\f(10) = - 6 + 9\\f(10) = 3[/tex]

X + 2x - 7/4=1 - x/2 -x ayudaaaaa

Answers

Answer:

|x| - |-x| = 0

Step-by-step explanation:

Answer:

no se

Step-by-step explanation:

no se

find the surface area. round to the nearest hundredth when necessary.

Answers

Answer:

The area of the shape is 122.30 cm^2

Step-by-step explanation:

To calculate the surface area, we identify the side shapes

We have this as;

a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm

The area of the rectangles is simply the product of the side lengths

The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both

Thus, we have the area of the shape as follows;

(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)

= 33 + 18 * 24 + 47.3

= 122.30 cm^2

find the length of CD.

Answers

The length for the problem is 3

PLEASE HELP! No random links.

Answers

I believe the answer would be D.

Answer:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

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