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The figure shows a right prism.


1. What is the volume of the figure?


2. If the dimensions of the prism are decreased by a factor of 1/4, how will the volume of the new prism compare to the volume of the original prism? (ANSWER IN A SIMPLIFIED FRACTION).
The volume of the prism is decreased by a factor of: ______

​

Answer:

b

Step-by-step explanation:

the answer is b

in the problem you can put the expression into a calculator and you will get the answer 3

in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3

I HOPE I HELPED A BIT<3

Step-by-step explanation:

Each square has a side length of 1/4 inch but you have said each square=1/4

Once you have found the amount of 1/4 inches you multiply the two numbers together, only then do you multiply it to $11 for the square area.

Area:-

Cost:-

Let the number be "x"

[tex]3x + 9 = 2x - 4[/tex]

[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]

[tex] \therefore \text{the required number is = - 13}[/tex]

Answer:

- 35

Step-by-step explanation:

let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so

3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides

3n + 27 = 2n - 8 ( subtract 2n from both sides )

n + 27 = - 8 ( subtract 27 from both sides )

n = - 35

that is the number is - 35

Answer: ✨4(2+1)✨

Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨

Answer:

4(2x + 1)

---->

Step-by-step explanation:

1:    3x + 6 - 2 + 5x = 4(2x + 1)

2:    Orignal Cost=80

Discounted Cost=60

Discount=80-60=20

Discount%=(20/80)*100=25%

Answer:

See below

Step-by-step explanation:

[tex]\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}[/tex]

Hence, both ratios are equal to each other

Answer:

2

Step-by-step explanation:

Answer:

320 x 6 euros = 1920 Euros

Step-by-step explanation:

Simple multiplication :)

Hope this helps

Answer:

£1,920

Step-by-step explanation:

Multiply 320 by 6

320 • 6 = 1,920

And your answer will be 1,920

I hope it helps! Have a great day!

Muffin ^^

         ⇒ Perimeter = 10 + 10 + 10 + 10 = 40 ft

        To understand the slant height, look at the diagram I attached

       Slant height: 13 ft

         ⇒ Lateral Area = 4 * (Area of Triangle)

                                    = [tex]4*(\frac{1}{2} *10 * 13) = 4 * 5* 13 = 260ft^2[/tex]

                                    = 260 ft^2

       Area of Base = 10 * 10 = 100ft^2

        Surface Area = Area of Base + Lateral Area

                               = 100 + 260 = 360 ft^2

Hope that helps!

Answer:

p = 43

Step-by-step explanation:

(x²²)(x⁷)³

first, multiply the power of 7 times the power of 3

(x⁷)³ = x⁷ ° ³ = x²¹

second, add the power of (x²²) with (x²¹)

x²² ⁺ ²¹ = x⁴³

therefore, the value of p = 43

I hope this helps!

Answer:

Please post the full question.

Step-by-step explanation:

I am trying to help, but the question is missing some key info.

Please dont delete, as when he posts the full thing, I will reply to this answer with the answer and explanation.

Answer:

y

Step-by-step explanation:

bc I told u to ..............

Answer:

34.54

Step-by-step explanation:

11in as diameter

3.14 as pi

11x3.12=34.54

Pls dont get mad if im wrong im trying my best :)

Answer:

73.81 in

Step-by-step explanation:

First we begin with the 3/4 circle perimeter:

(3.14) * diameter * 3/4

[tex](3.14) * 22 * \frac{3}{4} = 51.81[/tex]

Then we add the two remaining lines:

11 + 11 = 22

Adding up these two we get:

[tex]51.81 + 22 = 73.81[/tex]

Answer:

1935 were supporting the home team

Step-by-step explanation:

Since there are 4,500 people attending the game, we must find 43% of that. Doing this, we need to multiply 43% or .43 by 4,500.

After solving, you should get 1,935. There were 1,935 people supporting the home team.

Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.

Market value is the current price of a product, company, or something consorting to the stock of the market.

The investment of Josef are,

The broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold.

At the bond value 1.35 percentage higher than the stock gives will give him greater percent yield among all the options.

Thus, the Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.

Learn more about the market value here;

https://brainly.com/question/8084221

The height of the building located at a distance from the tower is approximately 163.716 meters.

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]

To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750

Answer:

y2=(1/2)x-9

Step-by-step explanation:

y= -2x-4

perpendicilar so multiplication of slope is -1

-2*m2=-1

m2=1/2

y2=(1/2)x+c need to passes trough (2,-8)

-8=(1/2)*2+c

-8=1+c

c=-9

y2=(1/2)x-9

Answer:

median = 55.5

Step-by-step explanation:

Here we have 10 numbers which is an even number

then the median for the data set is the average of the two middle numbers

firstly ,we have to put the number of the set in order from least to greatest like this :

3 < 12 < 38 < 38 < 46 < 65 < 71 < 78 < 87 < 99

————————                     ————————-

As you can see the middle two numbers are : 46 and 65

Now, we calculate their average :

[tex]\large \text Median = \frac{46+65}{2}= 55.5[/tex]            

Answer:

135⁰

Step-by-step explanation:

As in cyclic quadrilateral sum if opposite angles is equal to 180⁰

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Additional Information :

Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

Angles found on a straight line equals 180 degrees.

Vertical angles are congruent angles that lie directly opposite each other.

Second Row:

m∠LGK = 45° (given in the diagram)

m∠IGH = 35° (given in the table)

m∠KGJ = m∠IGH (vertical angles)

m∠KGJ = 35°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 35 = 145°

m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)

m∠HGL = 180 - 45 - 35 = 100°

Third Row:

m∠LGK = 45° (given in the diagram)

m∠HGL = 97° (given in the table)

m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)

m∠KGL= 180 - 97 - 45 = 38°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 38 = 142°

m∠IGH = m∠KGL (vertical angles)

m∠IGH = 38°

Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

Learn more about straight line and vertical angles on:

https://brainly.com/question/14362353

Answer:

100 m3

Step-by-step explanation:

2*5*10 = 10*10 *100

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

answer = 4 does it is correct

Answer:

L bozo

Step-by-step explanation:

ur whole life is an L

Answer:

1/2

1/4

2/4

1/4

2/4

1/4

Answer:

≈5.15 [cm].

Step-by-step explanation (English version):

1) Capacity - V - 1000 cm³;

height - h - 12 cm;

radius - r - ?

2) the initial formula is:

V=π*r²*h, where π=3.1415;

then final formula of the required r is:

[tex]r=\sqrt{\frac{V}{\pi *h}};[/tex]

3)   [tex]r=\sqrt{\frac{1000}{3.1415*12}} =\sqrt{26.5266} =5.15[cm].[/tex]