What is the GCF of the following terms 20n3 and 15n2 ?

Step-by-step explanation:

i) Capacity(Volume) = length x breadth x depth

= 3.2 x 2.9 x 1.5

= 13.92 m³

In litres, 13.92 x 1000 = 139,20 litres

ii) Capacity(Volume) = length x breadth x depth

= 2.5 x 1.6 x 1.3

= 5.2 m³

In litres, 5.2 x 1000 = 5200 litres

iii) Capacity(Volume) = length x breadth x depth

= 7.3 x 3.6 x 1.4

= 36.792 m³

In litres, 36.792 x 1000 = 36,792 litres

Answer:

42

Step-by-step explanation:

It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get

x=140.

we check if that number is true by finding 80% of 140.

4/5 * 140 = 112. So that means 140 is the number we want

30% of 140 is 3/10 * 140, which is 420/10, which is 42

Answer:

Step-by-step explanation:

Answer: 24 Months

Step-by-step explanation:

Answer:

The building's shadow is 50 ft

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]

Answer:

Step-by-step explanation:

The figure is the trapezoid

Trapezoid area formula:

Substitute values and solve:

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

Answer:

x=34

Step-by-step explanation:

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

Answer:

[tex]AB = 3.6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

[tex]A = (-2,1)[/tex]

[tex]B = (1,-1)[/tex]

The distance is:

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]AB = 3.6[/tex]

Answer:

to eat a healthier meal

Step-by-step explanation:

hope this helps :)

plz give me brainlist

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:

[tex]A = w\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:

[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)

Where:

[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.

[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.

If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:

[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]

[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Answer:

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

area = L x W

45 = (x-2)(x-14)

45 = x² - 14x - 2x + 28

simplify:

x² -16x - 17 = 0

(x + 1)(x -17 ) = 0

x = -1    not applicable

x = 17

Proof:

(17-2)(17-14) = 45

15 x 3 = 45

45 = 45

Answer:

it should be (8,-7)

Step-by-step explanation:

Answer:

[tex]4a^0 = 4 \times 1 = 4[/tex]

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

Answer:

2

Step-by-step explanation:

There are 56 people in each section

The given parameters are:

Total = 896

Sections = 16

The number of people per section is

People = Total/Sections

This gives

People = 896/16

Evaluate

People = 56

Hence, there are 56 people in each section

Read more about quotient at:

https://brainly.com/question/629998

#SPJ1

Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

[tex]7(6 + y)[/tex]

[tex](y \times 6) + (y \times 7)[/tex]

[tex]6(y + 7)[/tex]

[tex](y \times 6) {y}^{2} [/tex]

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

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Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

Answer:

x = 3, y = 5

or (3,5) in coordination point form.

Step-by-step explanation:

We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.

[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]

Convert both equations to slope-intercept form.

[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]

Then combine both equations

[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]

Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10

[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]

Hope this helps!

Answer:

oh

Step-by-step explanation:

Answer:

d I believe

Step-by-step explanation:

so they take away certain blocks and they never replaced the 2 lines

Answer:

I think it's C, it looks really tricky.

Step-by-step explanation:

Hey there,

First, find the square root of the given equation.

[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]

Best of Luck!

Answer:

3/8

Step-by-step explanation:

this is because there are 8 students in all and only three of them are boys