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?

A Sporting Goods Company Sells A Tent With The Dimensions Shown. The Company Wants To Introduce A New,

Answers

Answer 1

Answer:

The volume of the new tent will be 27/8 times the volume of the original tent.

Step-by-step explanation:

First, you take the ratio of 6/4 and simplify it down to 3/2.

Next, you take the ratio, and have to get its volume. Volume is just one length CUBED, so you cube both sides.

Then, after you cube the simplified fraction, you get 27/8.


Related Questions

5. Ms. Peregrino is using her cards to call on
students in period 7. She has 34 students.
She has 2 girls with the same name. What is the probability of Ms.peregrino calling in those girls with the same name one after the other?

Answers

Answer: 2/34

Step-by-step explanation: there are 2 sticks with the same name and the total number of students are 34 so its 2/34

What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98

Answers

J = 28

64+ (98 +28) = (j +64) + 98
64+126 = (j+64)+98
190 = (j+64)+98
-98 -98
92 = j+64
-64 -64
28 = j

Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)

Answers

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

In a right triangle, the length of one leg is 4 units. The length of the other leg is 10 units. What is the length of the hypotenuse? A) v12 Units B) v14 units C) v84 units D) v116 units

Answers

Answer:

Step-by-step explanation:

Hypotenuse^2=4^2+10^2=16+100

Hypotenuse^2=116

Hypotenuse=square root of 116

units

The length of the hypotenuse is √116.

Option D is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Hypotenuse = H

Applying the Pythagorean theorem.

H² = 4² + 10²

H² = 16 + 100

H² = 116

H = √116

Thus,

The length of the hypotenuse is √116.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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David correctly factored the expression m^2 -12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m + 4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why

Answers

Answer:

(3) (m - 16)(m + 4)

Step-by-step explanation:

Given the expression:

m^2 -12m - 64.

Using quadratic formula:

[tex] m = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] m = \frac{12 \pm \sqrt{(-12)^2 - 4(1)(-64)}}{2(1)} [/tex]

[tex] m = \frac{12 \pm 20}{2}[/tex]

[tex] m_1 = \frac{12 + 20}{2}[/tex]

[tex] m_1 = 16[/tex]

[tex] m_2 = \frac{12 - 20}{2}[/tex]

[tex] m_2 = -4[/tex]

Then, the factored expression is:

(m - 16)(m + 4)

Triangle ABC has vertices at A(-2.3), B(-3, -6), and C(2, -
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
O No, the triangle has no right angles.
Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.

Answers

No the triangle has no right angles

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Any help someone....
(solve triangles using the law of sines)

Answers

Answer:

[tex]B=51[/tex]°

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinC}{c} =\frac{sinB}{b}[/tex]

Insert the appropriate values:

[tex]\frac{sin100}{14} =\frac{sinB}{11}[/tex]

Isolate B. Multiply both sides by 11:

[tex]11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}[/tex]

Use the inverse:

[tex]B=sin^{-1}(\frac{11*sin100}{14})[/tex]

Insert the equation into a calculator and round to the nearest degree:

[tex]B=50.7\\\\B=51[/tex]

Angle B is 51°.

:Done

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

(2a -5)²(3a -4b)(3a +4b)

Step-by-step explanation:

There are a couple of factored forms that are used here:

  (a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b

  a² -b² = (a -b)(a +b)

__

Part A:

 Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.

  √(4a²) = 2a

  √25 = 5

The factoring is ...

  4a² -20a +25 = (2a -5)²

__

Part B:

This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.

  √(9a²) = 3a

  √(16b²) = 4b

Using the above factored form, we have ...

  9a² -16b² = (3a -4b)(3a +4b)

Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining

Answers

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

PLZ I need help with the first problem!

Answers

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

The top of the gumball machine on the left is a sphere with a diameter of 20 inches. When the machine is full it can hold 3500 gumballs, leaving 40% of the space in the machine empty. What is the approximate radius of each gumball? Round to the nearest hundredth and use 3.14 for Pi

Answers

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)​

Answers

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height


Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.

What is the surface area that will be frosted with icing?

A.24 in
B.117 in
C.205 in
D.322 in

Answers

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

What is the surface area that will be frosted with icing?

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

If you want to learn more about surface areas:

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PLEASE HELP! Will KARK BRAINLIEST!

If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?

Answers

Answer:

A.) 1/8 Inches

Step-by-step explanation:

The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?

Answers

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

The probability of getting a 6 after rolling a fair dice 16.

Abby is going to roll the dice 30 times.

Estimate the number of times the dice will land on a 6.

Answers

Answer:

P(6) = 5

Step-by-step explanation:

The dice is cast 30 times (k = 30)

So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning

5 x 1

5 x 2

5 x 3

5 x 4

5 x 5

5 x 6

____ +

30 casts in total (evenly distributed over all numbers of the dice)

P(6) = 1/6 * 30

P(6) = 5

Find the quotient.

1. 48÷3=
.

2. In the expression, 96 divided by 8 = a , the quotient a =
.

3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.

Answers

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:


Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?

Answers

I suck in math sorry I couldn’t help

Answer:

B) [tex]3^{4} \neq 243[/tex]

Step-by-step explanation:

What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
A. 14 units
B. 13 units
C. 12 units
D. 5 units

Answers

Answer:   13 units

Step-by-step explanation:

Steve is 6 years older than Kim. Their ages total is 22. How old is Steve?

Answers

Answer:

14

Step-by-step explanation:

Because 14-6= 8 and then 14+8= 22

Jake created a cube for his math game using
numbers and letters. He rolled the number
cube 50 times. The cube landed on an even
number 30 times out of the 50 rolls. Based on
Jake's rolls, hon mater times should he
expect to land on an even number out of the
next 20 rolls?​

Answers

Answer:

He should expect to land on it 12 times

Step-by-step explanation:

He got an even number 30 times out of 50 rolls. So that is 30/50 or 3/5, you then multiply 20 by 3/5 giving you 12

WILL MARK BRAINLIEST PLS HELP!!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50ft . What is the volume of the sphere? A 50/3 B 100/3 C 75 D 100

Answers

Answer:

i think its a

Step-by-step explanation:

What is the area of the triangular part of the flag below

Answers

The answer is 492 hope it helps

What are m<1 and m<2?

Answers

Answer:

m<2 is 66 and m<1 is 114

Step-by-step explanation:

add the given angles together, that is the outaide angle. then subtract that from 180 and you get angle 2

PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The length of a rectangle is four times its width. The width of this rectangle is 9 inches less than its length. Find the length and the width of the rectangle.

Answers

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

Answer:

At first I got 39 but then I redid it and got 27!

The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room?
The area of the room is blank square feet.

Answers

Answer:

60ft^2

Step-by-step explanation:

60% of 10 is 6 and LxW is 10x6 so the area is 60 feet

Which expression is a cube root of -2?
A. Cubed root of 2 (cos(90°) + isin(90°))
B. Cubed root of 2 (cos(120°) + isin(120°))
C.cubed root of 2 (cos(60°) + isin(60°)).
D. Cubed root of 2 (cos(260°) + isin(260°))

Answers

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

I have no access at 6 pm

Answers

Answer:

A and E

Step-by-step explanation:

I would plug in N as any number just to see if they are equal. I did 5.

A. 28(5)-35= -105

B. 28(5-35)= -840

C. 28(5-7)= -56

D. 7(4*5-35)= -105

E. 7(4*5-5)=  105

Find the area of a right triangle with a base of 38 cm and height of 26 cm.
A) 128 cm2
B) 247 cm2
C) 324 cm2
D) 494 cm2

Answers

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

Answer:
D.) 494 cm2

Step by Step:
38x26=988
988/2=494
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