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The perimeter of the base of a square pyramid is 40 feet. The slant height of the pyramid is 12 feet. Find the surface area of the pyramid.

SHOW WORK

Answers

Answer 1

9514 1404 393

Answer:

  340 ft^2

Step-by-step explanation:

The length of one side is 1/4 of the perimeter, so is 10 ft.

The area of the base is the square of the length of the side:

  base area = (10 ft)^2 = 100 ft^2

__

The lateral area is the area of four triangles, each with a base of 10 ft and a height of 12 ft.

  lateral area = 4(1/2)(10 ft)(12 ft) = 240 ft^2

__

The total surface area is the sum of the base area and the lateral area:

  surface area = base area + lateral area

  surface area = (100 ft^2) +(240 ft^2) = 340 ft^2


Related Questions

please help. see doccument below

Answers

Answer:Yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

we can start by dividing finding how many times 60 goes into 156.

It goes in 2 times with 120 miles.

we can subtract 120 from 156

this leaves us with 36 miles.

36 > (60 * .5)

between 7:30 and 10:00 there are 2.5 hours.

the car ride would take 2.6 hours meaning Kim wouldn't arrive before 10 am.

What is the mean absolute deviation? With these numbers.
2, 8, 10, 12.
Please help :)

Answers

Step-by-step explanation:

jejnddndmkkdksjsjdenekekeej

Answer:

i think the answer is 3 I dont know if i'm right tho

Step-by-step explanation:

^-^ sorry if this is wrong but for me i did 3 on edge 2021

Find the slope of the line between the points (2, - 9) and (-8, – 99).

Answers

Answer: use desmos to graph them

Step-by-step explanation:

The slope would be m=9 because you use the slope formula which is y2-y1/x2-x1 = -99–9/-8-2

Hope this helps

Have a great day/night

Pls help and show workings
(If you don’t know the answer please don’t respond)

Answers

Answer:

the required postulate which should be used here to make the triangles congruent is

C. ASA , okay

Step-by-step explanation:

because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA

I hope it helped

Answer:

ASA

Step-by-step explanation:

you have 2 angles and a side, so it could either be ASA or AAS.

ASA- the side is between 2 angles (image 1)

AAS- I'm not exactly sure how to describe it, but it's like 2 angles without a side between (image 2)

i don’t understand help

Answers

Answer:

rational as it can be expressed as the quotient of two integers

Answer:

that is a rational number

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. ... Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.

Example: 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.) All integers are rational numbers.

An irrational number is real number that cannot be expressed as a ratio of two integers. ... The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractio

My son takes trumpet lessons. He has a choice of plans. Plan A requires that he pay a $210 annual fee and then pay $10 for a lesson. Plan B does not have a fee, but you pay $25 for a lesson. Write an equation to find out for how many lessons Plan A would equal Plan B if x = number of lessons?

Answers

Answer:

10x + 210 = 25x

Step-by-step explanation:

Plan A

Annual fee = $210

Payment per lesson = $10

If 'x' lessons to be taken, total cost = 10x + 210

Plan B

Annual fee = 0

Payment per lesson = $25

Total cost for 'x' lessons = $25x

Equation for the equal payments in both the plans for 'x' lessons,

10x + 210 = 25x

a certain job can be done in 20 hours by 4 people. how many people are needed to do the same job in 10 hours?

Answers

If it takes 4 people to get a job done in 20 hours, then in 10 hours, it will take 2 people to complete the same job.
To find out how many people are needed to do this job in 10 hours, we can see that we got to 10 hours by dividing 20 by two so, to see how many people are needed to complete this same job in ten hours, we would just divide 4 people by 2 which is 2 people.
So, in conclusion, if it takes a certain job to be done in 20 hours by 4 people, then it would take 10 hours for that same job to be completed by 2 people.
Glad I could help!

What is the slope of the line through

(-8, 10) and (6, 10)?

Answers

Answer:

the slope is 0

Step-by-step explanation:

m=0

Answer:

0

Step-by-step explanation:

y2 - y1/ x2 - x1

10 - 10 = 0

6 - (-8) = 14

0/14 = 0

Find the measure of

Answers

150
30 degrees away from 180 and
60 degrees away from 90

A 12 foot ladder is leaning against the top of a wall at a 36 degree angle of elevation. How high is the wall?

9.7 feet

7 feet

7.5 feet

12 feet

Answers

Answer:

12

Step-by-step explanation:

12

plzzz guys help I'm so confused

At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.​

Answers

Answer:

y = 320,000 ( 1.048 ) ^x

x = number of years

(the  ^  before the x symbolizes "to the power of," but I can't do that on my keyboard)

Step-by-step explanation:

formula i used:

A = amount that you start with

t = amount of years / time

%increase: you must convert your percent (4.8%) to a decimal (0.048)

A ( 1 + %increase ) ^t

Answer:

y = 320,000(1.048)^t  

Step-by-step explanation:

4.8% = 0.048.

The population grows by 1.048 per year.

The required equation is:

y = 320,000(1.048)^t

what is x + 20x (-2)

Answers

Answer:

x = 1/20 = 0.050

x = 0

Step-by-step explanation:

either of those

Answer:

Hey bro,

The answer should - 39x i.e minus 39x

Simplify the expression.

5(8x-10)-10x+25(8x−10)−10x+2

50x - 48


50x + 48


30x - 48


30x + 52

witch one is correct

Answers

5(8x - 10) - 10x + 25(8x - 10) - 10x + 2
= (40x - 50) - 10x + (200x - 250) - 10x + 2
= 40x - 50 - 10x + 200x - 250 - 10x + 2
= (grouping like terms together)
= 40x - 10x + 200x - 10x - 50 - 250 + 2
= 220x - 298

The two basic kinds of rulers are______

Answers

A desk ruler and a protractor/ adjustable triangle (can I plz get brainlest :))

Help. What is the length of EF in the right triangle below.

Answers

Answer:

A

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

EF² + DF² = DE² ← substitute values

EF² + 12² = 18², that is

EF² + 144 = 324 ( subtract 144 from both sides )

EF² = 180 ( take the square root of both sides )

EF =  → A

Wish you luck on that

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?

Answers

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

What is true about the dilation?

On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).


It is a reduction with a scale factor between 0 and 1.

It is a reduction with a scale factor greater than 1.

It is an enlargement with a scale factor between 0 and 1.

It is an enlargement with a scale factor greater than 1.


answer my question pls

Answers

Answer:

The answer is D.

Step-by-step explanation:

This is because only a reduction can be 0-1, as it will shrink, while if you multiply a number by a number greater than 1, is will largen.

The dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.

How does dilation affect length, area, and volume of an object?

(SCALING ZOOMING SIMILAR FIGURES)

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Similarly, Volume of first figure = k³ × volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.


As it can be seen in the image below that the red rectangle is the pre-image therefore, it is the original figure.

The blue rectangle is the image of the original figure.

Now, as it can be seen that the pre-image is a smaller rectangle, while the image is a large rectangle, therefore, the dilation made is of enlargement.

Also, it can be observed that the ratio of any corresponding sides of the two rectangles is more than 1.

Hence, the dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.

Learn more about Dilation:

https://brainly.com/question/27212783

#SPJ2

The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the values of x and y?

Answers

Picture relating to question has been attached below

Answer:

x = 10 ; y = 15

Step-by-step explanation:

The values for which the park is a parallelogram :

For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :

VT = RV and UV = VS

From the diagram :

VT = 3x + 5y

RV = 6x + 3y

UV = 11y + 33 m

VS = 14y - 12 m

VT = RV and UV = VS

3x + 5y = 6x + 3y

3x - 6x = 3y - 5y

-3x = - 2y

3x = 2y

11y + 33 = 14y - 12

11y - 14y = - 12 - 33

-3y = - 45

y = 45/3

y = 15

From ;

3x = 2y

3x = 2*15

3x = 30

x = 30/3

x = 10

Select the equation that is true.
5,400 ÷ 9 = 4,500 ÷ 5
3,500 ÷ 7 = 2,400 ÷ 3
2,700 ÷ 9 = 4,000 ÷ 8
3,500 ÷ 7 = 4,500 ÷ 9

Answers

It should be the last one, 3,500 divided by 7 = 4,500 divided by 9
Yeah it is the last one

help me plzz will mark brainliest

Answers

Answer:

[tex]x=7,\\y=6[/tex]

Step-by-step explanation:

The segment [tex]UV[/tex]consists of [tex]UZ[/tex] and [tex]VZ[/tex]. Therefore, we can write the following equation:

[tex]3y-5+2y+2=27,\\5y-3=27,\\5y=30,\\y=\fbox{$6$}[/tex].

Since [tex]UV[/tex] bisects [tex]TW[/tex], [tex]TZ\cong WZ[/tex].

Therefore,

[tex]3x+3=3y+6,\\3x+3=3(6)+6,\\3x+3=18+6,\\3x+3=24,\\3x=21,\\x=\fbox{$7$}[/tex]

pam buys the following items: a shirt that costs 11.99, pants that cost 23.98, and a belt that costs 9.95. she has a coupon for 20% off the entire purchase. About how much will the three items cost?

Answers

Answer:

$9.18

Step-by-step explanation:

45.92/20%

=$9.18

Answer:

47

Step-by-step explanation:

Answer please.............

Answers

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4        

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{7}{7}[/tex]

x = 1

Hence,

Option D: 1 is the correct answer.

The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?

Answers

Answer:did you get the answer???

Step-by-step explanation:

    Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).

 Daily fees for the Fun Town amusement Park are,

Adult → $10 eachChild → $5 each

If there were 'a' adults and 'c' children in the park yesterday,

Total amount to be paid = $(10a + 5c)

   Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).

Learn more,

https://brainly.com/question/15805316

~It's ~ me ~ again ~ can ~ you ~ help ~ me ~ out ~ once ~ again?~
A circular disc has a diameter of 24 centimeters. What is the area of the disc?

Answers

The answer is B hope this helped

y= 3x +5
Who looks better

Answers

None of them sorry because 1-2=1

Help me please it’s almost due

Answers

Answer: A

Step-by-step explanation:

the answer is a :) good luck!

Are 12,24,36,48 proportional

Answers

no. (limit limit )))) is

Math - Ratios
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A - 9 : 4
B - 2 : 1
C - 9 : 5
D - 3 : 2

Answers

The answer is 9 : 5
36:20
18:10
9:5

If a man has $1500 in the bank and the annual interest rate is 5%, how much money will he have in the bank after 1 year?

Answers

Answer:

5/100×$1500= 75 dollar

as it is annual income we can solve the answer relative to year and considering it as 1 so the interest would be 75 annually

The height, h, of a baseball in meters at t seconds after it is tossed out of a window is modeled by: h = -5t2 + 2t + 15. A boy shoots
at the baseball with a paintball gun. The trajectory of the paintball is given byh = 3t+ 3. Please answer the following two questions,
Make it clear which solution belongs with each question!
Q1: At what height will the paintball hit the baseball? Round your answer to the nearest thousandths place.

Answers

I think that it is a ttwwoo digit number
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