1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
2 years ago
8

Find the Lateral area for the regular pyramid. (Keep it as a Square Root)

Mathematics
1 answer:
Shtirlitz [24]2 years ago
3 0

1. You must apply the following formula: 


 LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>

<span>
</span>

<span> 2. The slant length is (By </span><span> the Pythagorean Theorem):</span>

<span> a</span><span>^2=b^2+c^2</span>

<span> </span><span>a= b^2+c^2</span>

<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>

<span> </span><span>a=√10</span>

<span>
</span>

<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>

<span>
</span>

<span> </span><span>P=2+2+2+2</span>

<span> </span><span>P=8</span>

<span>
</span>

<span> 4. </span><span>Then, you have:</span>

<span>
</span>

<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>

<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>

<span> LA=</span><span>(</span><span>8√10)/2</span>

<span> LA=</span><span>4√10</span>

You might be interested in
PLEASE HELP GIVE YOU BRAINLYEST
Harrizon [31]

Answer:

(-6,0)

Step-by-step explanation:

the y-axis is any (x number, 0)

8 0
3 years ago
pasha is thinking of a number such that when twice the number is added to three times one more than the number she gets the same
Lelechka [254]
<span>This is the equation made from the problem where x=mystery number
</span><span>2x+3(x+1)=4(x-1)</span><span>

</span><span>Now let's solve for x!
</span><span>
</span><span>We start by distributing 3 into (X+1)
</span><span>
</span><span>3(x)=3x  and 3(1)=3
</span><span>
</span><span>Now our equation is 2x+3x+3=4(x-1)
</span><span>
</span><span>Let's combine both x values on the left side of the equation: 2x + 3x=5x
</span><span>
</span><span>We now have 5x+3=4(x-1)
</span><span>
</span><span>Let's distribute 4 into (x-1)
</span><span>
</span><span>4(x)=4x  and 4(-1)=-4
</span><span>
</span><span>Now our equation is 5x+3=4x-4
</span><span>
</span><span>subtract 3 form both sides
</span><span>
</span><span>5x=4x-7
</span><span>
</span><span>subtract 4x from both sides
</span><span>
</span><span>x=-7
</span><span>
</span><span>Yay! So the number she is thinking of is -7!</span><span>








</span>
5 0
3 years ago
Read 2 more answers
4. Which of the following represents a function?
Dafna11 [192]
The 3 option
(3,9), (-7,1), (6,12), (-3, -9)
3 0
2 years ago
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
aev [14]

Answer:

Step-by-step explanation:

This is a quadrilateral.

Sum of all angles of a quadrilateral = 360

x + 100 + 60 + 95 = 360

        x  + 255       = 360

                        x = 360 - 255

                        x = 105°

6 0
2 years ago
Read 2 more answers
Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,
Helen [10]
<h3>Answer: 3/10 of a shed</h3>

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

  • 1/5 = 8/40 .... multiply top and bottom by 8
  • 5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0
3 years ago
Other questions:
  • How do u solve 1736÷56 step by step
    13·2 answers
  • The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
    7·1 answer
  • Answer:
    12·1 answer
  • Help me out guys please
    13·1 answer
  • High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa
    11·2 answers
  • of 36 chemical elements 2 are named for woman scientists and 25 are named for places what fraction out of these 36 are named for
    14·1 answer
  • 6 degrees above normal​
    10·1 answer
  • EASY PLEASE HELP!!!!!!
    9·1 answer
  • HELP DUE IN 10 MINS! Use right triangle trig to solve for the missing angles. Round all answers to the nearest degree (whole num
    9·1 answer
  • Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decima
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!