Mathematics College

Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively.​

Answers

Answer 1

Answer:

Hence, total surface area of the pyramid is 360 cm².

Step-by-step explanation:

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L²=H²+(s/2)²=122+(10/2)²=122+5²

=144+25=169⇒

L=(169)^1/2=13

The perimeter of the base is P=4s, since it is a square, therefore, 

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=1/2Pl=1/2×40×13=260 cm²

Now, the area of the base B=s² with s=10 cm is:

B=s²=10²=100 cm²

The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:

TSA=1/2Pl+B=260+100=360 cm²

Hence, total surface area of the pyramid is 360 cm².

Related Questions

mathematics geniuses where are you ? help me answer this question please.

Answers

Step-by-step explanation:

There is 7 blocks that measure is 12.0-12.2

11 blocks that measure 12.2 to 12.4

18 blocks that measure 12.4 to 12.6

10 blocks that measure 12.6-12.8

4 blocks that measure 12.8 to 13.0

We can't find a mean by with Intervals so let find the midpoint of each interval,

12.1, 12.3, 12.5, 12.7, 12.9.

12.1 occurs 7 times so that equal 12.1 x 7=84.712.3 occurs 11 times so that equal 12.3 x 11=135.312.5 occurs 18 times so that equal 12.5x18=22512.7 occurs 10 times so that equal 12.7x10=12712.9 occurs 4 times 12.9×4=51.6

Add up the products and divide them by 50

[tex]\frac{623.6}{50} = 12.472[/tex]

Standard Deviation is

0.23( it is alot of steps so I use a calculator to save time).

The interqualtie range is 0.4

I want to know how to solve this.

Answers

Answer:

B

I just did it and got it right

What is the answer to this question?

Answers

The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.

What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?

Step-by-step explanation:

HELP PLEASE HELPPP PLEAE NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION

Answers

Answer:

(I got your back pal) Your answer is -41/21

Can you give me a brainlest it would help me a lot

Add or Subtract: show all written work 30 POINTS!!

Answers

Answer:

I hope it helped U

stay safe stay happy

please answer this question​

Answers

Step-by-step explanation:

all steps are in picture

1+1×5−6+8×(4+4)−62

Find the ans here

Answers

Answer:

2

Step-by-step explanation:

1+1×5−6+8×(4+4)−62 =

1+1x5-6+8x(8)-62 =

1+5-6+64-62 =

2

Hope this helps! :)

Do the mathematics please. I will give a reward.

Answers

9514 1404 393

Answer:

  p = -3/4b -3/4

Step-by-step explanation:

Vectors are perpendicular when their dot product is zero.

  A·B = p(4) +b(3) -3(-1) = 4p +3b +3

We want this to be zero, so ...

  4p +3b +3 = 0

  4p = -3b -3

  p = -3/4b -3/4 . . . . the value of p that makes A⊥B

Write the fraction 16/28 in simplest form.

Answers

Answer:

1/4

Step-by-step explanation:

Which of the following fractions is in lowest form

Answers

fraction is in lowest term is no(b)

6/19 is the only one that can’t be simplified to the standard form.

this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.

Answers

Answerurdsrd d e

Step-by-step explanation:

PLEASE HELP NOW

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°

iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe

Answers

Answer:

3.14159265358979

Step-by-step explanation:

Answer is ihsgdahgfajfahhaivabsvsbshs

I need help ASAP whit this question

Answers

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

least multiple of 2983548​

Answers

Answer:

it must be 2983548×2............

Solve 2/5 x + 1/2 = 5/6

Answers

The answer is x= 5/6

Answer:

5/6

Step-by-step explanation:

I'm assuming the x in your equation is used as a variable.

5/6-1/2= 2/6=1/3

2/5x=1/3

x=5/6

Determine whether the following statement is true or false.
A proper use of units can help us to determine the meaning of the slope of a linear function.

Answers

The correct answer would be true

Here we want to see if the statement:

"A proper use of units can help us to determine the meaning of the slope of a linear function" is true or false.

We will see that it is true.

First, a general linear equation can be written as:

y = a*x + b

Where a is the slope, x is the independent variable, y is the dependent variable, and b is the y-intercept.

The proper use of units is:

y and b must have the same units.

x can have any type of units

The slope must have the quotient between the units of y and the units of x.

Where the proper use of units means that we have the same units on both sides of the expression.

Now, assume that we know the units of y and x.

For example:

y is miles  (then b is also in miles)

x is in hours

Then, with the proper use of units, we can see that the units of the slope are:

miles/hour, or miles per hour.

With this (only knowing the units of x and y) we can see that the slope will be a speed.

So yes, the proper use of units is really important, as this has a lot of information (particularly, the meaning of the slope in a linear equation)

Thus, the statement is true.

If you want to learn more, you can read:

https://brainly.com/question/20286983

Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?

A. $253
B. $383
C. $590
D. $337

Answers

Answer:

D.

Step-by-step explanation:

$230 + $360 = $590

$590 - $253* = $337

$337

*( total sum of all the bills )

A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.

Answers

Answer:

The number is 2

Step-by-step explanation:

x * 16 + 4 = 9*4

x * 16 + 4 = 36

x * 16 + 4 - 4 = 36 - 4

x * 16 = 32

x * 16 / 16 = 32 / 16

x = 2

Answer:

The number is 2

Step-by-step explanation:

let the number be "a"

16a+4=4×9

16a+4=36

16a=36-4

16a=32

a=2

Noah bought 5 pounds of onions at $2 per pound and a bag of salad greens for $4. How much money did he spend?cant someone help me please​

Answers

5 pounds of onions 2$ each = 10$
A bag of salad greens for 4$ = 4$

10$ + 4$ = 14$

The answer is B.

5x²+4x+3=0 solve for x​

Answers

Answer:

[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]

Step-by-step explanation:

[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]

from quadratic formular:

[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]

general equation:

[tex] {ax}^{2} + bx + c = 0[/tex]

a is 5, b is 4 and c is 3:

substitute in formular:

[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]

but from complexes, i² = -1

[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]

Find the value of x if 3(4x+3)

Answers

You can’t actually find x with this equation.
3(4x+3)
12x+9
This is the farthest you can go because there are no like terms.
If it was something like this:
3(4x+3)=3 then you would be able to find the value of x.

find the total distance the model airplane

Answers

Answer:

1833 miles is the total distance if the model airplane.

Which of the following fractions converts to a repeating decimals

Answers

Step-by-step explanation:

The answer is a option.

hope it helps

option A I believe :)

If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap

Answers

Answer:

B

Step-by-step explanation:

f^(-1) (x) = (x-1)/3

f^(-1) (10) = (10-1)/3 = 3.

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​​

Answers

Here <5=<8 then

<7=<6=29

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

<5=61°

the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?

Answers

its 1.429 x10^-4 grams per cubic cm

PLEASEEE HELP!!!!!!!

Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?

Answers

Hi,

The difference is 188 F

I need answers for problem solving

Answers

Answer:

243

Step-by-step explanation:

the answer is 243 for number 6

Answer:

all you gotta do is do 2430 divided by ten

Find the area of each shaded region. Show your reasoning.

Answers

maybe we could answer if there waas a pic=]

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