A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?

Answers

Answer 1

Answer:

The volume of the new tent will be 3/2 times the volume of the original

Step-by-step explanation:

The original tent is a triangular prism, which missing dimensions of the tent are:

base (b): 6 ftheight (h): 4 ftlength (l): 7 ft

Volume of the original tent:

V = 1/2*b*h*l

The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.

Volume of the new tent:

V' = 1/2*b*h'*l

Dividing V' by V:

V'/V = (1/2*b*h'*l)/(1/2*b*h*l)

V'/V =h'/h

Replacing with data:

V'/V =6/4

V' = 3/2*V


Related Questions

Financial goal is to purchase a house. To make Marcel’s financial goal of purchasing a house a specific goal, he can . Next, Marcel can make his goal timely by . Lastly, Marcel can make his financial goal measurable by each month.

Answers

Answer:

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.

Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

What is the complex number?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

To learn more about the complex numbers visit:

https://brainly.com/question/10251853.

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PLS HELP middle school math​

Answers

Answer: 2,4      4,8       8,16     and so on ...

Step-by-step explanation:

Simplify 17 1/2 - (-9 3/8)
ASAP please extra poonts

Answers

Answer:

I believe the answer is 26 7/8

Step-by-step explanation:

Answer:

26 7/8

Step-by-step explanation:

17 1/2 - (-9 3/8)

Get a common denominator of 8

17 1/2*4/4 - -9 3/8

17 4/8  - -9 3/8

We know that subtracting a negative is adding

17 4/8 + 9 3/8

Add the whole numbers

17+9 = 26

Add the fractions

4/8+3/8 = 7/8

26 7/8

What is the solution of the inequality shown
below?
c+2 < -1

Answers

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:

Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.

The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?

Dan
Joe
Lee
Roy

Answers

Answer:

roy is in the same quadrant

Step-by-step explanation:

↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵

Answer:

roy

Step-by-step explanation:

WHat is the value of 599 x (400+37) QUICKKKKKK!!

239,637
261,763
432,599
599,437

Answers

Answer:

b: 261,763

Step-by-step explanation:

do the parenthesis then mutiply the 2 #s

Option B is correct. The value of 599 x (400+37) is 261,763.

Given the values A, B and C. According to the distributive law:

A(B + C) = AB + AC

Applying the rule to the given question:

599 x (400+37)

= 599(400) + 599(37)

= 239,600 + 22,163

Adding up the result

= 261,763

Hene the value of 599 x (400+37) is 261,763.

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PLS HELP !! ILL GIVE BRAINIEST

Answers

Answer: first one is a the second one is b

Step-by-step explanation:

the bottom is the total amount and the top should relate to the bottom

The change in the x-coordinates of any two points on a line in the xy-plane is
the______

A. rise

B. slope

C. angle

D. run

Answers

Answer:

D. run

Step-by-step explanation:

The slope is given by

m = (y2-y1)/ (x2-x1) =  rise/ run

The change in the x coordinates is the run

pretty sure its the run

I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high

Answers

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Learn more about volume of box here:

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Givin away points if ur a begginer

Answers

Answer:

Cause I will any ways

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

thats it?

Which inequality will have a shaded area below the boundary line?

Answers

Answer:

When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Step-by-step explanation:

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.

Answers

Answer: 226 grams

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

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

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

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

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

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Can anyone help with this? First question gets marked brainliest!

Answers

Answer:

5 cm

Step-by-step explanation:

Answer:

5 cm

Step by step explanation

Please help, need an answer ASAP

Answers

Answer:

I think your answer is correct

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Answers

Answer: Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.

The two smallest sides are 4 and 10; their sum is 14.  This is shorter than the longest side, so these will not make a triangle.

Answer:

a

Step-by-step explanation:

Can some help me thank you

Answers

They all share the same numerator

hi what is the answer for this

Answers

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

area of a circle is pi x r x r

since it is a quarter

1/4 x pi x 8 x 8 = 16 x pi

Answer:

formula = pi× r²× 1/4

Step-by-step explanation:

since radius = 8

3.14×8×8 = 3.14×16

4

therefore the answer is pi × 16

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!















The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)

Answers

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

I NEED HELP!

Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.

Answers

Can’t see it that far
I can’t see the picture

What’s the answer??.??”

Answers

Answer:

77

Step-by-step explanation:

the formula is base times height. 7 is the height, add 8 + 3 to get 11 so there's only 1 base. multiplying the 7 and 11 to get 77

find the measure of arc UT Given a.168
b.192
c.84
d.96

Answers

Answer:

is there supossed to be a picture?

Step-by-step explanation:

Answer:

Can you please give us a picture!

Step-by-step explanation:

Can someone pls help

Answers

Answer:

a) At what time does Bethan arrive home from school?

The answer would be C) 15:30

b) What distance does Siobhan travel each day when going to school and back?

The answer would be D) 16km

Step-by-step explanation:

The parabola opens to the right. The focus is given as

F (p,0) and directrix x = -p. The distance between the

focus and point P is equal to the distance between the

directrex and point P. Continue to simplify the equation to

solve for y2. THE ANSWER IS 4px!! :)

Answers

Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

[tex](y-k)^2 = 4p(x-h)[/tex]

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

[tex]y^2 = 4px[/tex]

Answer:

y^2 = 4px

Step-by-step explanation:

edg 2021

Help me please. Im giving 20 points
Brenda is playing hide-and-seek with Cody and Lara. Cody is hiding 16 meters
south of Brenda, and Lara is hiding due east of Cody. If Brenda is 20 meters from
Lara, how far apart are Cody and Lara?

Answers

Answer:

36 meters away

Step-by-step explanation:

If you look at the equation you'll see that Cody is 16 meters away from Brenda and Lara is 20 meters away from Brenda, so if you add those two, you'll get the answer. :)

Answer:

i think they are 36 meters apart

Step-by-step explanation:

16 + 20 = 36

so they are 36 meters away from each other

and you could check your answer by doing 36 - 20 = 16 or 36 - 16 = 20

Hope this helpsRate meBrainliest plz

Is this SAS or Not SAS?

Answers

SAS


Both triangles angles and sides are congruent

Answer:

SAS

Step-by-step explanation:

order the set numbers from least to greatest

Answers

Step-by-step explanation:

the answer is the last option

Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals

Answers

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Use the box method to distribute and simplify (-6x-3)(4x+2).(−6x−3)(4x+2). Drag and drop the terms to the correct locations of the table.

Answers

Answer:

576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36

Step-by-step explanation:

The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]

Given that,

The equation is (-6x-3)(4x+2).

The calculation is as follows:

[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

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