25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.

X/6 = 15/18

Cross multiply:

18x = 15 times 6

18x = 90

Divide both sides by 18

X = 5

5/6 = 15/18

Answer:

Step-by-step explanation:

X= 15  x6

     18

I guess it is correct

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

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.

For this case, we're given that;

Let the scale fator of dilation be k.

Then:

So area of pre-image = k² × area of dilated image

Thus, we get:

[tex]35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3[/tex]

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

[tex]5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m[/tex]

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

https://brainly.com/question/3266920

Answer;

A=2(W·l+h·l+h·w)

Step-by-step explanation:

multiply all the numbers by eachother  and multiply by 2

· is multiply

For example:

length-12

height-5

width-7

12×5+5×7+7×12=179

179×2=358

Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

Answer:

13

Step-by-step explanation:

I counted the X's of 1-3 and got 13 in total.

(Let me know if that was correct) :)

Answer:

13 students

Step-by-step explanation:

To solve this you count the x's above 1, 2, and three.

I hope this helps!!

Answer:

See below

Step-by-step explanation:

Scale it by  -4/3   then shift it left by 3

  scale by - 4/3  is the same as flipping the function about the x-axis

      and scaling it by 4/3

Answer:

77.6

Step-by-step explanation:

Each number is subtracted by 0.2

Hope that helps!

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!

Here we are given that ;

[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]

Differentiating both sides w.r.t.x ;

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]

This is the required answer

Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

Learn more about rectangular prism here

https://brainly.com/question/21308574

#SPJ2

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

Learn more about consumer price index here:

https://brainly.com/question/5992428

Answer:

6:16

Step-by-step explanation:

To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.

Answer: number a

Step-by-step explanation:4 times 2 is 8 8 times 2 is 16

From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 12 experiments, 5 resulted in one of each, hence:

[tex]p = \frac{5}{12}[/tex]

There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.

More can be learned about probabilities at https://brainly.com/question/14398287

C = pi x d

3,14 x d = 47,1

d = 15

Opposite angles are equal in parallelogram

<M:-

x=8. The steps are in the attachment.

Answer:

a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).

b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.

fixed cost + variable cost = $300 + $300 = $600

Answer:

exponential

Step-by-step explanation:

it is an exponential function

+7

+10

+15

+21

+30

Mean: 16

To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.

1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112

2. 112 / 7 = 16

3. The mean is 16.

Answer: 16.

Step-by-step explanation: To find the mean of any given data, you need to add all the data.  The work is below:

13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.

Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data.  The work is below:

112 / 7 = 16.

Therefore, the mean of this data is 16.

Hope this helps! :)

Step-by-step explanation:

Large Jar 540g for 2.16

540/2.16 = 250

(Always divide by the smallest ratio)

= 250g per 1£

Small Jar 360g for 1.37

360/1.37=262.77g

= 262.77g per 1£

Small Jar is the best value for money, more grams, same price.

Answer:

  (3√26, 0)

Step-by-step explanation:

Finish your work by evaluating the sine and cosine. The imaginary part corresponds to the y-coordinate in (x, y) form.

  3√26(cos(360°) +i·sin(360°)) = 3√26(1 +0i)

In rectangular form, that is ...

  (3√26, 0)

The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.

Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.

In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.

Learn more about map on:

https://brainly.com/question/4289712

Answer:

b. C= 14+(10b)

c. C = 14+ ( 10 x 3) = 14+30 =44

Step-by-step explanation:

Hope this helps

Answer:

2.5

Step-by-step explanation:

BASED ON GIVEN DATA:

⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES

⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES

THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.

Answer:  0.5  minutes

Step-by-step explanation:  

Answer:

x=120

y=60

Step-by-step explanation:

i) y=60 [ corresponding angles]

ii) x + 60 = 180 [linear pair]

or, x = 180- 60

therefore, x is equal to 120

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

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

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

Answer:

[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]

I am joyous to assist you at any time.

Answer: 5/9

Step-by-step explanation: I took a test on this ;)