Help I think it’s probably D

Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?

A ) 162 3 cm^2

B ) 324 3 cm^2

C ) 648 3 cm ^2

D ) 1296 3 cm ^2


Help I Think Its Probably DPyramid ABCDE Is A Square Pyramid.What Is The Lateral Area Of Pyramid ABCDE?A

Answers

Answer 1

Answer:

B

Step-by-step explanation:

i took the test and got a 100% so ys that the answer.

Answer 2

Answer:

B

Step-by-step explanation:

"lateral" means "belonging to the side".

so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.

so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).

each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).

that means both side angles are 60° each.

and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is

180 - 60 - 60 = 60°

hey, all 3 angles are the same !

that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).

and that means all sides are 18 cm long.

the area of a triangle can be calculated for our scenario in 2 major ways :

1. baseline × height / 2

2. Heron's formula (since we know all 3 sides) :

A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2

I don't know which one your teacher wants you to use.

so,

1.

the height we get via Pythagoras

leg² = (baseline/2)² + height²

18² = (18/2)² + height²

324 = 81 + height²

81×4 = 81 + height²

81×3 = height²

height = sqrt(81×3) = 9×sqrt(3)

the area of the triangle is

18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²

2.

s = (18+18+18)/2 = 54/2 = 27

A = sqrt(27(27-18)(27-18)(27-18)) =

= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²

the total lateral area is then

4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²

oh, I see, i think you did not include the square root in the answer options. that is confusing.

but as you can see, option B must be correct.


Related Questions

What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.

Answers

the answer is - m=1

use the slope intercept form. y=mx+b

Tell if the slope is positive, negative, zero, or no slope.

Answers

Answer:

No slope.

Step-by-step explanation:

There is no such thing as a vertical slope, meaning that there is no slope. I hope this helps! :)

Answer:

No slope

Step-by-step explanation:

The line is going straight up :)

Brainliest pls?

Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain

Answers

Answer:

A = 0

__________________________________________________________

Solve

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Questions?

Ask in the comments.

in one year the water level of a lake change is b -3/8 in the water level of the lake continue to change at this rate for 7 years how many inches will the water level of the lake have changed​

Answers

Answer:

-21/8 or -2 5/8

Step-by-step explanation:

The lake change is the same for all 7 years so you can subtract -3/8 seven times.

-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8

as a mixed number it's -2 5/8


Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?

Answers

Answer:

0.47 pounds

Step-by-step explanation:

Simple subtraction!

Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger

Setting the pounds of onions to [tex]x[/tex] we get:

[tex]6.4 = x + 1.18 + 4.75[/tex]

[tex]x=0.47[/tex]

So we get 0.47 pounds of onions!

find the measure of angle m and give your reasons for each step

Answers

Answer:

m=56

Step-by-step explanation:

So look at the angles. I learned this in geometry like 2 years ago. I believe it was the opposite angle theorem or the alternate exterior or interior angles. You should look on the internet about that.

-15(y2)4 divide 5y3y4

Answers

Answer:

-3y

Step-by-step explanation:

-15(y2)4 ÷5y3y4

Rewrite the division as a fraction

-15(y2)4

 5y3y4

Multiply y3 by y4 by adding the exponents

-5(y2)4

  5y7

Cancel the common factor of -15 and 5

-3(y2)4

  y7

Multiply the exponents in (y2)4

-3y8

 y7

Cancel the common factor of y8 and y7

Factor y7 out of -3y8

y7(-3y)

 y7

Multiply by 1

y7(-3y)

 y7 × 1

Cancel the common factor which is y7 and y7

Rewrite the expression

-3y

 1

Divide -3y by 1

-3y

While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5

Answers

Answer:

15.75 is 6.3% of 250.

Formula:
[Percentage] x [Number Given] = [New number]

BRAINLIEST!!!

Given the figure below, find the values of x and z.

Answers

Step-by-step explanation:

87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20

Answer:

=> z = 87° { vertically opposite angle }

=> 87° + (9x-87) = 180° { linear pair }

=> 87 +9x-87 = 180

=> 9x = 180°

=> x = 180/9

=> x = 20°

Help me out please simple

Answers

A straight line is 180 degrees in measure

The straight line is made up of three angles

           --> angle 1

           --> angle 2

           --> angle with a little square on it

                     (angle with a little square means it is 90 degrees in measure)

Let's set up an equation

    [tex]angle1 + angle2 + 90 = 180\\angle1 + 87 + 90 = 180\\angle1 = 3[/tex]

Thus angle 1 is 3 degrees or the second choice

Hope that helps!

Pls answer my math, thank u​

Answers

Answer: question 1 equals 31 Over 8 or 3.875 .

question 2 equals 425 over 24 .

question 3 equals 41 over 6 or 6.83333333

question 4 equals 55 Over 14

Step-by-step explanation: hope it helps you .

How to simplify in laws of exponents ​

Answers

Answer:

You multiply the exponents and or to keep the base the same.

Step-by-step explanation:

I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

Find two integers whose sum is 11 and whose product is 30.

Answers

5 + 6 = 11

5 x 6 = 30

This below in pic is the question i need reason for my answer pls help

Answers

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

What are the last two digits of 7^1867? ​

Answers

Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.

What is the powers of 7 pattern?

The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:

If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.

In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.

More can be learned about the powers of 7 pattern at https://brainly.com/question/10598663

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

For 4 triangles area 4*(1/2)*4*3=24

base square area 3*3=9

all together 24+9= 33  

SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.

Answers

Answer:

B it originally cost 12000

Step-by-step explanation:

the depriciation factor is  0.75^t and the original value was 12000

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

[tex]V(t)=12000(0.75)^t[/tex]

[tex]V(0)=12000(0.75)^0=12000[/tex]

[tex]V(1)=12000(0.75)^1=9000[/tex]

[tex]V(2)=12000(0.75)^2=6750[/tex]

etc.

⇒ Initial cost = $12,000

⇒ The motorcycle's value is decreasing by 25% each year.

Select all the fractions that are equivalent to each other.

(Choose 2)

[tex]hi \\answer \\the \\question[/tex]

Answers

8/14 and 4/7 are equivalent

Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.

Step-by-step explanation:



A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)

Answers

The volume of the solid is the amount of space in it.

The points on the graph are (0,0) and (1,7)

How to determine the points?

The volume is given as:

V1 = 7

The scale factor is given as:

k

Let the new volume be V.

So, we have:

V = V1 * k^3

Substitute 7 for V1

V = 7k^3

Divide both sides by 7

k^3 = V/7

Take the cube root of both sides

k = (V/7)^1/3

Next, we test the options

a. (0,0)

k = (0/7)^1/3

k = 0 --- this is true

b. (1,1)

k = (1/7)^1/3

k = 0.05 --- this is false

c. (1,7)

k = (7/7)^1/3

k = 1 --- this is true

d (7, 1)

k = (1/7)^1/3

k = 0.05 --- this is false

e. (14,2)

k = (2/7)^1/3

k = 0.10 --- this is false

f. (49,2)

k = (2/7)^1/3

k = 0.10 --- this is false

g. (56,2)

k = (2/7)^1/3

k = 0.10 --- this is false

h (27,3)

k = (3/7)^1/3

k = 0.14 --- this is false

Hence, the points on the graph are (0,0) and (1,7)

Read more about volumes at:

https://brainly.com/question/12232378

Question
The sum of the measures of the angles of a triangle is
180. The sum of the measures of the second and third angles is five
times the measure of the first angle. The third angle is 30 more than the second. Let T. y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Provide your answer below:

Answers

Answer:

t = 30°y = 60°z = 90°

Step-by-step explanation:

The given relations can be used to write three equations for the angle values.

Setup

  t + y + z = 180 . . . . . sum of all angle measures

  y + z = 5t . . . . . . . . second and third total 5 times the first

  y + 30 = z . . . . . . third angle is 30 more than the second.

__

Solution

Using the third equation to substitute for z in the first two equations gives ...

  t + y + (y +30) = 180   ⇒   t +2y +30 = 180

  y + (y +30) = 5t   ⇒   2y +30 = 5t

Using the second of these equations to substitute for (2y+30) in the first, we have ...

  t +5t = 180

  t = 180/6 = 30 . . . . . . divide by the coefficient of t

Using this value in our equation for 5t gives ...

  2y +30 = 5(30)

  2y = 120

  y = 60

Then the value of angle z is ...

  y +30 = z = 60 +30

  z = 90

The first, second, and third angles are 30°, 60°, and 90°, respectively.

The diagram shows the shape of a schools auditorium stage. What is the area of the stage?
Do number 5

Answers

Answer:

100 square feet (100 ft²)

Step-by-step explanation:

Formula

Area (trapezoid) = 1/2 x sum of parallel sides x heightArea (parallelogram) = base x height

Area of stage

Area (trapezoid) + Area (parallelogram)1/2 x (8 + 12) x 4 + 4 x 152 x 20 + 6040 + 60100 square feet

Area of trapezoid:-

1/2(Sum of parallel sides×Height)1/2(8+12)×42(20)40ft²

Area of parallelogram

BH15(4)60ft²

Total:-

60+40=100ft²

CAN SOMEBODY SOLVE THIS EQUATION

Answers

Answer:

The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute

f(x) = x^2. What is g(x)?

A. g(x) = 2x^2
B. g(x) = (1/4 x)^2
C. g(x) = 1/2 x^2
D. g(x) = (1/2 x)^2

Answers

C would be your answer i hope i helped you :) sorry if i’m incorrect. i’m not sure

find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1​

Answers

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

1st Method Given;Sum of zeroes = α + β = (-b)/a = 1/4Product of zeros = αβ = c/a = 1

Where,

a = 4b = 1c = 4

So, one quadratic polynomial satisfying is given condition is 4x² x 4 = 0

2nd Method

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

(α + β)x + αβ

x² – 1/4x + 1

4 x 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

what is the unit rate of 36 ounces of 5.79

Answers

A unit ounce is 0.16

If 36 ounces worth 5.79, 1 ounce will be

= 5.79 / 36

= 0.1608

Tim has a checking account with $1,200 remaining after paying bills after several months. He wants to earn interest on
this money rather than keep extra money he does not need for monthly bills in his checking account. Over the next
year, he thinks he might need to withdraw $100 one or two times. His bank requires $250 to open a regular savings
account, $500 for a one-year CD, $750 for a two-year CD, and $1,000 to open a money market account. Decide which
choice would be the best for his situation

Answers

Assuming  He wants to earn interest on this money rather than keep extra money he does not need. The choice that would be the best for his situation is  $250 to open a regular savings.

What is regular savings account?

A regular savings account is a saving acount that enables you to save and earn interest based on the amount saved because it is an interest bearing account.

Although this account gives you interest but the interest rate is low. Since Tim has $1200 in his checking account  assuming he withdraw $100 twices, Tim will have $1,000 ($1,200-$200).

Now if he open a regular saving with $250 he will have $750 left ($1,000-$250) with which he can earn interest with.

Inconclusion the choice that would be the best for his situation is  $250 to open a regular savings.

Learn more about regular account here:https://brainly.com/question/25787382

Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)

Answers

Answer:

triangle KLM is isosceles

Step-by-step explanation:

[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]

therefore it is isosceles.

a] The area of a square is 200 cm² Find the length of its diagonal.​

Answers

Answer:

[tex]"20cm"[/tex]

Step-by-step explanation:

[tex]Area\ of\ rq=a^2[/tex]

[tex]a=\sqrt{200}=10\bullet \sqrt{2}[/tex]

[tex]d\ iargul=\sqrt{2}9[/tex]

             [tex]=10\times \sqrt{2}\times \sqrt{2}[/tex]

             [tex]=20cm[/tex]

I hope this helps you

:)

The graph of a system of two linear equations is a pair of
lines that intersect at the origin. Which statement is true of
the system?

Answers

Answer:

They both have a y intercept of 0

Step-by-step explanation:

Linear equations are written in the form y = mx + b. m is the slope and b is the y-intercept. It also states that they intersect at the origin, so they must have a y-intercept of 0.

pls pls pls pls pls help ill mark brainliest​

Answers

Answer:

Y= 0. There is two that says that so I don't know if it's A or C

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