A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the pyramid?

Answers

Answer 1

Answer:

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = [tex]length^{2}[/tex]

                            = [tex]4^{2}[/tex]

                            = 16

Area of its base = 16 [tex]inches^{2}[/tex]

Area of one of its triangular surface = [tex]\frac{1}{2}[/tex] x base x height

                                 = [tex]\frac{1}{2}[/tex] x 4 x 12

                                 = 2 x 12

                                 = 24 [tex]inches^{2}[/tex]

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 [tex]inches^{2}[/tex]

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 [tex]inches^{2}[/tex]

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].


Related Questions

Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE

Answers

female students that participate: 51
male students that don’t: 30

Answer:

1. 51

2. 30

Step-by-step explanation:

x2 - 2x
Factorise this pleasee

Answers

Answer:

x(x-2)

Step-by-step explanation:

the common multiple here is the x, notice how it appears in both both terms. thus, we can factor it out of the equation going from x²-2x to x(x-2)

x(x-2)

Im assuming you meant x² - 2x but correct me if i'm wrong!

so x is common in both terms so you can take it out and factorise it.

Hope this helps!

Can anyone help me with this question please ?
I’ll mark you as a brainliest.

Answers

Answer:

0.5

Step-by-step explanation:

Don't know if i did it right very sorry if wrong make sure to down vote if wrong have good day good luck on test ;)

Ahmed invests $1,500 at an interest rate of 4%, compounded quarterly and another $1,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth in total at the end of 6 years?

Answers

Answer: $1904.60

Step-by-step explanation:

This is 1500(1+.04/4)^24 where .04/4 is the interest rate for each compounding, or the interest rate /4, for 4 quarters.

The 24 is 4 quarters/year * 6 years

round at the end

=$1904.60

hope this helped!:)

Giving brainliest pleeeaaasssse help!
If heat transfers from hot to cold, and stops when two objects reach the same temperature, explain why it is possible for the inside of your car to be hotter than the air outside on a hot summer day.

Does a gas give off or absorb energy when it turns into a solid? Explain your answer.

You dont have to answer both just helping me with one would help me out!!! :)

also robot scammers stop giving me random links

Answers

Answer:

1. Consider a hot pot taken off the stove and placed on a tile countertop. At first it cools quickly. As it cools, the difference in temperature between the pot and the room air becomes less, and so it takes a long time for the pot to lose enough heat to match room temperature. Two objects at the same temperature are said to be in equilibrium.

2.  When a liquid changes into a gas it absorbs energy. When it changes into a solid it gives off energy...If a solid (dry ice for example) is allowed to sublimate into a gas, it absorbs heat - that's why it feels cold when you touch ice. So, if a gas changes into a liquid, it give off heat as an opposite effect.  Anytime you compress a gas, it gets warmer.

A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?

Answers

Answer:

Step-by-step explanation:

300t=280(t+2)

300t=280t+560

20t=560

t=28

We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean

Answers

Answer:That would be mean

The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.

How do I find the geometric mean of 275 and 11??

Answers

Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation:

rolling two number dice and tossing one coin

Answers

Is it a game?

I think I’ve played this before

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

The triangles are congruent by SSS or HL.

Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

rotation, then translation

Step-by-step explanation:

The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

The given triangles;

Triangle MNQ Triangle PQN

A translation of a triangle occurs when the triangle shifts up, or down,  of left or right on the coordinate plane.

The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.

Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371

Can someone help me with one of these? Factor using the X method please!

Answers

Answer:

Step-by-step explanation:

6.    x² + 8x + 7

   = x² + 7x + x + 7

   = x (x + 7) + 1 (x + 7)

  = (x + 1) (x + 7)

Option D is the answer.

7.    x² - x - 72

  = x² - 9x + 8x - 72

  = x(x - 9) + 8(x - 9)

Option B is the answer.

8.   x² - 49

  = (x - 7) (x + 7)    [formula used a² - b² = (a-b)]

 Option D is the answer.

9.   9x² - 54x + 72

 =  9(x² - 6x + 8)

 =  9(x² - 4x - 2x + 8)

 =  9[x(x-4) -2 (x-4)]

 =  9[(x - 2) (x - 4)]

 = Option A is the answer.

10.   x⁴ - 3x³ - 10x²

   =  x² (x² - 3x - 10)

   =  x² (x² - 5x + 2x - 10)

   =  x² [x (x-5) + 2 (x-5)]

   =  x² (x+2) (x-5)

Option A is the answer.

need help ASAP !!!

[tex] \sqrt{684 \times 684} [/tex]

Answers

Answer:

√(684×684)=√684²=±684

What is the volume of the rectangular prism?
3 cm
8 cm
2 cm

Answers

Answer:

54 centimeters

Step-by-step explanation:

A number b is increased by 6, and then the sum is doubled.

Answers

Answer:

2(b+6)

Step-by-step explanation:

find the median 60,62,64,54,56,28​

Answers

Answer:

58

Step-by-step explanation:

you need to order all the numbers together:

28​, 54, 56, 60, 62, 64

since the middle 2 are 56 and 60 you need to find the average of those.

(56 + 60)/2 = 58

please use the image to solve it

Answers

Answer:

C, D and E are the correct statement

One jar has 13 pennies, a second jar has 7 pennies, a 3rd jar has 10 pennies, and a 4th jar has 30 pennies. On average how many pennies does each
jar have?

Answers

Answer:

60

Step-by-step explanation:

13+7=20  20=10=30  30+30= 60

Hope this helps!

Answer:15

Step-by-step explanation:

The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?

Answers

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

Stephanie puts 30 cubes in a box. The cubes are inch on each side. The box holds 2 layers
with 15 cubes in each layer. What is the volume of the box?

Answers

Answer:

[tex] 11.25\: {in}^{3} [/tex]

Step-by-step explanation:

Since, box contains two layers of cubes and each layer has 15 cubes.

So, length = 15*1/2 in = 7.5 in,

width = 3*1/2 in = 1.5 in

height = (1/2 + 1/2) = 1 inch

Volume of box = lbh

= 7.5* 1.5 *1

= 11.25 cubic inches

Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?

Answers

45+8.25+5+0.75 is what you need to add

Jennifer made $59.

$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.

$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.

If this is incorrect, please, don't refrain to tell me.

Luke is a locksmith. On weekends he gets paid \$ 64 . 50 per hour, plus a flat rate service fee of \$ 75 for every job. ​ ​On this Saturday he has three separate jobs that will take 1 1/2, 1/4, and 1 1/4 hours to complete respectively

Answers

Answer:

Luke will earn $ 418.50.

Step-by-step explanation:

Given that on weekends Luke gets paid $ 64.50 per hour, plus a flat rate service fee of $ 75 for every job, and on this Saturday he has three separate jobs that will take 1 1/2, 1/4, and 1 1/4 hours to complete respectively, to determine the money you will earn on the day the following calculations must be made:

(75 x 3) + (1.5 x 64.5) + (0.25 x 64.5) + (1.25 x 64.5) = X

225 + 96.75 + 16.125 + 80.625 = X

418.50 = X

So, all Saturday, Luke will earn $ 418.50.

If anyone is really good at math please help

Answers

Answer:

248 + 7x = 360

Step-by-step explanation:

x = 16

Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?

Answers

Answer:

Top left triangle has the greatest area

Step-by-step explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9

A quadrilateral has two angles that measure 290° and 20°. The other two angles are in a
ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

Step-by-step explanation:

The remains two angles are 2x and 3x.

2x+3x = 360-290-20 = 50°

x= 10°

One angle is 20°. The last angle is 30°

Subtract 1 from the product of 4 and 2. what is this in fraction form? please help? A 4 ÷ 2 − 1 B 4 × 2 − 1 C 4 × (1 − 2) D 1 − (4 × 2)

Answers

Answer:

D.) 1 - (4 * 2)

Step-by-step explanation:

Given :

Product of 4 and 2 is written as : 4 * 2

Subtracting 1 from the product above : 1 - (4 *2)

Hence, the fractional form of the question above is simply written as :

1 - (4 * 2)

consider the image that shows a tower anchored by a guy with the guy wire is attached at point b on the tower 119 feet above the ground and then anchored to the ground at point a 120 feet from the base of the tower.
Options are: A) sin0= 119/120, B) sin0= 120/119, C) sin0= 119/169, and D) sin0= 120/169

Answers

Answer:

C

Step-by-step explanation:

You have to find the area

*Can I get brainliest*

The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?

Answers

Answer:

56 units²

Step-by-step explanation:

There are two bases of 3x4 and 4 sides of 2x4

Total surface area is:

2(3*4) +4(2*4) = 56 units²

Find the value or measure. Round answers to the nearest tenth, as needed.

Answers

Answer:

26

Step-by-step explanation:

Solve 9x-1 = 41-5x

9x-1 = 41-5x

   +1   +1

9x = 42-5x

+5x      +5x

14x = 42

/14     /14

x = 3

Plug in X for EF

41-5(3)

41-15

=26

If you could answer all parts to this problem it’ll make my day . please

Answers

Answer: 40x25=1,000 and 64x40=2,560! Does this help

?

Separate the triangles then figure out the formula
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