Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?

Please help!

Answers

Answer 1

Answer: 242.7 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The first model has a height of 5 inches and a surface area of 80.9 square inches:

The proportion is : height/ surface area= 5 in / 80.9 in2

For a height of 15 inches

15 in/ x in2

So:

5/80.9 = 15/x

x= 15/ (5/80.9 )

x= 242.7 square inches

Feel free to ask for more if needed or if you did not understand something.  


Related Questions

What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)

A) 52 mm3

B) 157 mm3

C) 209 mm3

D) 628 mm3

Answers

Answer:

209

Step-by-step explanation:

The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.

What is a Cone's Volume?

Volume of a cone = 1/3πr²h

Where, r = radius of the cone, and h = height of the cone.

Given:

​π = 3.14Radius (r) = 5 mmHeight (h) = 8 mm

Thus:

Volume of a cone = 1/3(3.14)(5²)(8)

Volume of a cone = 209 mm³

Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.

Learn more about volume of cone on:

https://brainly.com/question/14278632

y = 5x – 6
Identify the y-intercept of the
following equation.

Answers

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?

Answers

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35

Answers

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?

Answers

Answer:

Option (2).It has a vertical translation by 2 units in the positive direction.

Step-by-step explanation:

Given question is not complete: find the  complete question with attachment

Errol's bike ride can be modeled by the equation,

[tex]d(t)=-\frac{1}{4}t+2[/tex]

Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house

Y-intercept = 2, shows the distance of the school from Errol's house

Let the equation that represents the distance of Daniel's home from the school is,

y = mt + b

Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.

Since y-intercept 'b' represents the distance from his home, b = 4

Now the equation will be,

[tex]d(t)=-\frac{1}{4}t+4[/tex]

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.

0.00003
2 x 10-5
=
?

Answers

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

-3x+1/2=3/8
Whats x? pls someone help step by step

Answers

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?

Answers

Answer:

55% if the students like hotdods

Answer:

55%

Step-by-step explanation:

Plz help plzzzzzzzzz

Answers

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.

Answers

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71

The table and the graph below each show a different relationship between the same two variables, x and y:



How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180

Answers

Answer:

The answer is A.

Step-by-step explanation:

thats what i think

Please help me find MAD for this

Answers

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

HURRY PLEASE!! WILL MARK THE BRAINLIEST

Which of the following are factors of the
polynomial?

Answers

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

answer with work pls !!

Answers

19.3 x 9.5 = 183.35 with the correct answer


Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.

Answers

Answer:

Had to look for the missing passage and here is my answer. Based on the passage from  "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.

Step-by-step explanation:

AC =
Round your answer to the nearest hundredth.
40°

Answers

This rounded to the nearest hundred is 50°

PLEASE HELP...SOLVE FOR VOLUME

Answers

Answer:

to get volume you have to do this base x height

Step-by-step explanation:

12 x 8 is 96 that the base

next base times height  which is 1996.8 however since the shape is a triangle and not a square you have to divide by 2 so the answer is 998.4 m^2

Answer:

volume = 12* 19.2*8/2 = 921.6 m3

Step-by-step explanation:

20.8^ 2 - 8^ 2 = a^2 = 19.2^ 2

volume = 12* 19.2*8/2 = 921.6

can someone help me with this I do not understand it? ​

Answers

Answer:

So, the first one is not proportional and therefore has no multiplier.

You are right on the second on both counts!

Step-by-step explanation:

You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.

Which of the following statements is not true?

Answers

i think B isn’t true

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute

Answers

Answer:

48

Step-by-step explanation:

240/5 = 48

Answer:

48 push ups in 1 minute

Step-by-step explanation:

We can use a ratio to solve

240 pushups

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

5 minutes

Divide each by 5

48 pushups

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

1 minutes

Please help and explain. Thank you :)

Answers

Answer:

= 6^13

Step-by-step explanation:

6^3 • 6^10

= 6^3 • 6^10

= 6^(3 + 10)

= 6^13

Answer:D

Step-by-step explanation:

A. 6^3 * 6^10 = 6^13

It has the same base so you will make it stay the same and add the exponents.

Find the Surface Area of the Square Pyramid

Step 1:

Step 2:

Step 3:

Step 4: *

(20 Points)

Answers

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

SA equals the total surface area of the pyramid,  p equals the perimeter of the base,   h equals the slant height of the pyramidB equals the area of the base.

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

What is the answer to this question?

Answers

Answer:

The answer is 480 in^3

Step-by-step explanation:

Right rectangular prism calc - find V

volume = h * w * l where h is prism height, w is its width and l its length.

Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?

Enter​

Answers

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.

Answers

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5

Answers

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8

Answers

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours​

Answers

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

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